Bruce C. Berndt - Publications

Affiliations: 
University of Illinois, Urbana-Champaign, Urbana-Champaign, IL 
Area:
Mathematics

124 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Andrews GE, Berndt BC, Chan SH, Kim S, Malik A. Four Identities for Third Order Mock Theta Functions Nagoya Mathematical Journal. 239: 173-204. DOI: 10.1017/Nmj.2018.35  0.529
2018 Berndt BC, Kim S, Zaharescu A. The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved American Mathematical Monthly. 125: 99-114. DOI: 10.1080/00029890.2018.1401853  0.302
2018 Berndt BC, Dixit A, Kim S, Zaharescu A. Sums of squares and products of Bessel functions Advances in Mathematics. 338: 305-338. DOI: 10.1016/J.Aim.2018.09.001  0.37
2018 Berndt BC, Malik A, Zaharescu A. Partitions into kth powers of terms in an arithmetic progression Mathematische Zeitschrift. 290: 1277-1307. DOI: 10.1007/S00209-018-2063-8  0.428
2017 Berndt BC, Dixit A, Roy A, Zaharescu A. New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan Advances in Mathematics. 304: 809-929. DOI: 10.1016/J.Aim.2016.08.011  0.502
2016 Berndt BC. Integrals associated with Ramanujan and elliptic functions Ramanujan Journal. 1-21. DOI: 10.1007/S11139-016-9793-1  0.421
2016 Berndt BC, Straub A. On a secant Dirichlet series and Eichler integrals of Eisenstein series Mathematische Zeitschrift. 1-26. DOI: 10.1007/S00209-016-1675-0  0.399
2015 Berndt BC, Kim S. Logarithmic means and double series of Bessel functions International Journal of Number Theory. 11: 1535-1556. DOI: 10.1142/S1793042115400060  0.408
2015 Berndt BC, Kang SY, Sohn J. Finite and infinite Rogers-Ramanujan continued fractions in Ramanujan's lost notebook Journal of Number Theory. 148: 112-120. DOI: 10.1016/J.Jnt.2014.09.019  0.379
2015 Berndt BC, Kim S, Zaharescu A. Weighted divisor sums and Bessel function series, V Journal of Approximation Theory. 197: 101-114. DOI: 10.1007/S11139-011-9352-8  0.456
2015 Berndt BC, Zhou RR. Identities for Partitions with Distinct Colors Annals of Combinatorics. 19: 397-420. DOI: 10.1007/S00026-015-0273-X  0.397
2014 Berndt BC, Zhou RR. Proofs of conjectures of Sandon and Zanello on colored partition identities Journal of the Korean Mathematical Society. 51: 987-1028. DOI: 10.4134/Jkms.2014.51.5.987  0.427
2013 Berndt BC, Kim S, Zaharescu A. Dirichlet L-functions, elliptic curves, hypergeometric functions, and rational approximation with partial sums of power series Mathematical Research Letters. 20: 429-448. DOI: 10.4310/Mrl.2013.V20.N3.A2  0.412
2013 Berndt BC, Kim S, Tip Phaovibul M, Zaharescu A. Diophantine approximation with partial sums of power series Acta Arithmetica. 161: 249-266. DOI: 10.4064/Aa161-3-4  0.42
2013 Berndt BC, Kim S, Zaharescu A. Weighted divisor sums and bessel function series. III Journal Fur Die Reine Und Angewandte Mathematik. 67-96. DOI: 10.1515/Crelle-2012-0006  0.445
2013 Berndt BC, Kim B, Williams KS. Euler products in ramanujan's lost notebook International Journal of Number Theory. 9: 1313-1349. DOI: 10.1142/S1793042113500292  0.385
2013 Berndt BC, Kim S, Zaharescu A. Diophantine approximation of the exponential function and Sondow's Conjecture Advances in Mathematics. 248: 1298-1331. DOI: 10.1016/J.Aim.2013.08.010  0.38
2013 Berndt BC, Kim S, Zaharescu A. Circle and divisor problems, and double series of Bessel functions Advances in Mathematics. 236: 24-59. DOI: 10.1016/J.Aim.2012.11.017  0.378
2013 Berndt BC, Kim S. A problem in diophantine approximation found in Ramanujan's lost notebook Ramanujan Journal. 31: 83-95. DOI: 10.1007/S11139-012-9404-8  0.431
2013 Andrews GE, Berndt BC. An Unpublished Manuscript of Ramanujan on Infinite Series Identities Journal of the Ramanujan Mathematical Society. 19: 265-284. DOI: 10.1007/978-1-4614-4081-9_12  0.407
2012 Berndt BC, Kim S, Zaharescu A. Weighted divisor sums and Bessel function series, IV Ramanujan Journal. 29: 79-102. DOI: 10.1016/J.Aim.2011.10.016  0.485
2012 Berndt BC, Kim S, Zaharescu A. Weighted divisor sums and Bessel function series, II Advances in Mathematics. 229: 2055-2097. DOI: 10.1016/j.aim.2011.10.016  0.307
2012 Berndt BC, Lamb G, Rogers M. Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi Ramanujan Journal. 29: 185-198. DOI: 10.1007/S11139-011-9351-9  0.393
2012 Berndt BC, Gugg C, Kim S. Ramanujan's elementary method in partition congruences Developments in Mathematics. 23: 13-21. DOI: 10.1007/978-1-4614-0028-8_2  0.339
2011 Berndt BC. The chief accountant and mathematical friend of ramanujan-s. narayana aiya American Mathematical Monthly. 118: 767-776. DOI: 10.4169/Amer.Math.Monthly.118.09.767  0.359
2011 Berndt BC, Kim B. Asymptotic expansions of certain partial theta functions Proceedings of the American Mathematical Society. 139: 3779-3788. DOI: 10.1090/S0002-9939-2011-11062-1  0.33
2011 Berndt BC, Schultz D. On sums of powers in Ramanujan's lost notebook Applicable Analysis. 90: 725-730. DOI: 10.1080/00036810903437812  0.375
2011 Berndt BC, Dixit A, Sohn J. Character analogues of theorems of Ramanujan, Koshliakov and Guinand Advances in Applied Mathematics. 46: 54-70. DOI: 10.1016/J.Aam.2009.12.003  0.405
2010 Berndt BC, Kim B, Yee AJ. Ramanujan's lost notebook: Combinatorial proofs of identities associated with Heine's transformation or partial theta functions Journal of Combinatorial Theory. Series A. 117: 957-973. DOI: 10.1016/J.Jcta.2009.07.005  0.419
2010 Baruah ND, Berndt BC. Eisenstein series and Ramanujan-type series for 1/π Ramanujan Journal. 23: 17-44. DOI: 10.1007/S11139-008-9155-8  0.338
2010 Berndt BC, Chan HH, Chan SH, Liaw WC. Cranks-really, the final problem Ramanujan Journal. 23: 3-15. DOI: 10.1007/S11139-008-9143-Z  0.542
2010 Berndt BC, Dixit A. A transformation formula involving the gamma and riemann zeta functions in Ramanujan's lost notebook The Legacy of Alladi Ramakrishnan in the Mathematical Sciences. 199-210. DOI: 10.1007/978-1-4419-6263-8_12  0.318
2009 Berndt BC, Koukoulopoulos D. A reciprocity theorem for certain hypergeometric series Proceedings of the American Mathematical Society. 137: 2369-2373. DOI: 10.1090/S0002-9939-09-09777-9  0.344
2009 Baruah ND, Berndt BC, Chan HH. Ramanujan's Series for 1/π: A Survey ∗ American Mathematical Monthly. 116: 567-587. DOI: 10.1080/00029890.2009.11920975  0.405
2009 Berndt BC, Xu P. An integral analogue of theta functions and gauss sums in Ramanujan's lost notebook Mathematical Proceedings of the Cambridge Philosophical Society. 147: 257-265. DOI: 10.1017/S0305004109002552  0.306
2009 Baruah ND, Berndt BC. Ramanujan's Eisenstein series and new hypergeometric-like series for 1 / π2 Journal of Approximation Theory. 160: 135-153. DOI: 10.1016/J.Jat.2008.04.002  0.351
2008 Baruah ND, Berndt BC. Ramanujan's series for 1 / π arising from his cubic and quartic theories of elliptic functions Journal of Mathematical Analysis and Applications. 341: 357-371. DOI: 10.1016/J.Jmaa.2007.10.011  0.385
2008 Baruah ND, Berndt BC. Partition identities arising from theta function identities Acta Mathematica Sinica, English Series. 24: 955-970. DOI: 10.1007/S10114-007-0960-6  0.366
2008 Berndt BC, Lee Y, Sohn J. Koshliakov's formula and Guinand's formula in Ramanujan's lost notebook Developments in Mathematics. 17: 21-42. DOI: 10.1007/978-0-387-78510-3_2  0.381
2008 Andrews GE, Berndt BC. Your hit parade: The top ten most fascinating formulas in Ramanujan's lost notebook Notices of the American Mathematical Society. 55: 18-30.  0.301
2007 Hill JM, Berndt BC, Huber T. Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation Acta Arithmetica. 128: 281-294. DOI: 10.4064/Aa128-3-6  0.367
2007 Berndt BC. Ramanujan'S Congruences For The Partition Function Modulo 5, 7, And 11 International Journal of Number Theory. 3: 349-354. DOI: 10.1142/S1793042107000961  0.412
2007 Berndt BC, Hart WB. An identity for the dedekind eta-function involving two independent complex variables Bulletin of the London Mathematical Society. 39: 345-347. DOI: 10.1112/Blms/Bdm004  0.349
2007 Baruah ND, Berndt BC. Partition identities and Ramanujan's modular equations Journal of Combinatorial Theory. Series A. 114: 1024-1045. DOI: 10.1016/J.Jcta.2006.11.002  0.305
2007 Berndt BC, Chan SH. Sixth order mock theta functions Advances in Mathematics. 216: 771-786. DOI: 10.1016/J.Aim.2007.06.004  0.6
2007 Berndt BC, Chan SH, Yeap BP, Yee AJ. A reciprocity theorem for certain q-series found in Ramanujan's lost notebook Ramanujan Journal. 13: 27-37. DOI: 10.1007/S11139-006-0241-5  0.719
2006 Berndt BC, Zaharescu A. Weighted Divisor Sums and Bessel Function Series Mathematische Annalen. 335: 249-283. DOI: 10.1007/S00208-005-0734-3  0.401
2005 Berndt BC, Yesilyurt H. New identities for the Rogers-Ramanujan functions Acta Arithmetica. 120: 395-413. DOI: 10.4064/Aa120-4-5  0.71
2005 Beck M, Berndt BC, Chan O, Zaharescu A. Determinations Of Analogues Of Gauss Sums And Other Trigonometric Sums International Journal of Number Theory. 1: 333-356. DOI: 10.1142/S1793042105000200  0.628
2005 Berndt BC, Bialek PR. On the power series coefficients of certain quotients of eisenstein series Transactions of the American Mathematical Society. 357: 4379-4412. DOI: 10.1090/S0002-9947-05-03947-4  0.343
2005 Berndt BC, Chan HH, Chan SH, Liaw WC. Cranks and dissections in Ramanujan's lost notebook Journal of Combinatorial Theory. Series A. 109: 91-120. DOI: 10.1016/J.Jcta.2004.06.013  0.569
2005 Andrews GE, Berndt BC, Sohn J, Yee AJ, Zaharescu A. Continued fractions with three limit points Advances in Mathematics. 192: 231-258. DOI: 10.1016/J.Aim.2004.04.004  0.437
2005 Berndt BC, Choi G. A continued fraction from Ramanujan's lost notebook Aequationes Mathematicae. 69: 257-262. DOI: 10.1007/S00010-004-2738-6  0.419
2004 Berndt BC, Yee AJ, Zaharescu A. New theorems on the parity of partition functions Crelle's Journal. 2004: 91-109. DOI: 10.1515/Crll.2004.008  0.425
2004 Berndt BC, Chan SH, Liu ZG, Yesilyurt H. A new identity for (q; q)∞ 10 with an application to Ramanujan's partition congruence modulo 11 Quarterly Journal of Mathematics. 55: 13-30. DOI: 10.1093/Qmath/Hag038  0.776
2004 Berndt BC, Zaharescu A. Finite trigonometric sums and class numbers Mathematische Annalen. 330: 551-575. DOI: 10.1007/S00208-004-0559-5  0.392
2003 Berndt BC, Yee AJ, Zaharescu A. On the parity of partition functions International Journal of Mathematics. 14: 437-459. DOI: 10.1142/S0129167X03001740  0.409
2003 Berndt BC, Yee AJ. On the Generalized Rogers-Ramanujan Continued Fraction Ramanujan Journal. 7: 321-331. DOI: 10.1023/A:1026215700375  0.434
2003 Berndt BC, Kohnen W, Ono K. The Life and Work of R.A. Rankin (1915–2001) Ramanujan Journal. 7: 9-38. DOI: 10.1023/A:1026214305402  0.343
2003 Berndt BC, Chan HH, Zaharescu A. A quasi-theta product in Ramanujan's lost notebook Mathematical Proceedings of the Cambridge Philosophical Society. 135: 11-18. DOI: 10.1017/S0305004102006527  0.304
2003 Berndt BC, Yee AJ. A page on Eisenstein series in Ramanujan's lost notebook Glasgow Mathematical Journal. 45: 123-129. DOI: 10.1017/S0017089502001076  0.513
2003 Berndt BC, Ja Yee A, Yi J. Theorems on partitions from a page in Ramanujan's lost notebook Journal of Computational and Applied Mathematics. 160: 53-68. DOI: 10.1016/S0377-0427(03)00613-7  0.457
2003 Berndt BC, Yee AJ. Combinatorial Proofs of Identities in Ramanujan's Lost Notebook Associated with the Rogers-Fine Identity and False Theta Functions Annals of Combinatorics. 7: 409-423. DOI: 10.1007/S00026-003-0194-Y  0.407
2003 Andrews GE, Berndt BC, Sohn J, Yee AJ, Zaharescu A. On Ramanujan's continued fraction for (q2;q3) ∞(q; q3)∞ Transactions of the American Mathematical Society. 355: 2397-2411. DOI: 10.1007/0-387-28124-X_9  0.627
2002 Berndt BC, Chan HH, Kang SY, Zhang LC. A certain quotient of eta-functions found in Ramanujan's lost notebook Pacific Journal of Mathematics. 202: 267-304. DOI: 10.2140/Pjm.2002.202.267  0.469
2002 Ahlgren S, Berndt BC, Yee AJ, Zaharescu A. Integrals of eisenstein series and derivatives of L-functions International Mathematics Research Notices. 1723-1738. DOI: 10.1155/S107379280211110X  0.427
2002 Berndt BC, Bialek PR, Yee AJ. Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series International Mathematics Research Notices. 1077-1109. DOI: 10.1155/S1073792802107094  0.493
2002 Berndt BC, Sohn J. Asymptotic formulas for two continued fractions in Ramanujan's lost notebook Journal of the London Mathematical Society. 65: 271-284. DOI: 10.1112/S0024610701002952  0.656
2002 Berndt BC, Yeap BP. Explicit evaluations and reciprocity theorems for finite trigonometric sums Advances in Applied Mathematics. 29: 358-385. DOI: 10.1016/S0196-8858(02)00020-9  0.699
2002 Berndt BC, Zaharescu A. A multi-variable theta product Indagationes Mathematicae. 13: 11-22. DOI: 10.1016/S0019-3577(02)90002-9  0.366
2002 Berndt BC, Zaharescu A. An integral of Dedekind eta-functions in Ramanujan's lost notebook Journal Fur Die Reine Und Angewandte Mathematik. 33-39.  0.32
2001 Berndt BC, Chan HH. Eisenstein series and approximations to π Illinois Journal of Mathematics. 45: 75-90. DOI: 10.1007/B13290_16  0.383
2001 Berndt BC, Chan HH, Liaw WC. On Ramanujan's quartic theory of elliptic functions Journal of Number Theory. 88: 129-156. DOI: 10.1006/Jnth.2000.2615  0.345
2000 Berndt BC, Huang SS, Sohn J, Son SH. Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook Transactions of the American Mathematical Society. 352: 2157-2177. DOI: 10.1090/S0002-9947-00-02337-0  0.596
2000 Berndt BC, Galway WF. On the Brocard–Ramanujan Diophantine Equation n! + 1 = m2 Ramanujan Journal. 4: 41-42. DOI: 10.1023/A:1009873805276  0.315
2000 Berndt BC, Chan HH, Sohn J, Son SH. Eisenstein series in Ramanujan's lost notebook Ramanujan Journal. 4: 81-114. DOI: 10.1023/A:1009834123932  0.65
2000 Berndt BC, Huang SS, Sohn J, Son SH. Some theorems on the ro gers-ramanujan continued fraction in Ramanujan's lost notebook Transactions of the American Mathematical Society. 352: 2157-2177.  0.317
1999 Berndt BC, Chan HH. Ramanujan and the modular j-invariant Canadian Mathematical Bulletin. 42: 427-440. DOI: 10.4153/Cmb-1999-050-1  0.452
1999 Berndt BC, Chan HH, Huang S, Kang S, Sohn J, Son SH. The Rogers-Ramanujan continual fraction Journal of Computational and Applied Mathematics. 105: 9-24. DOI: 10.1016/S0377-0427(99)00033-3  0.612
1997 Berndt BC, Chan HH, Zhang LC. Ramanujan's association with radicals in India American Mathematical Monthly. 104: 905-911. DOI: 10.2307/2974470  0.382
1997 Berndt BC, Chan HH, Zhang LC. Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations Transactions of the American Mathematical Society. 349: 2125-2173. DOI: 10.1090/S0002-9947-97-01738-8  0.308
1997 Berndt BC. Ramanujan's singular moduli Ramanujan Journal. 1: 53-74. DOI: 10.1023/A:1009715221401  0.393
1996 Berndt BC, Chan HH, Zhang LC. Explicit evaluations of the Rogers-Ramanujan continued fraction Journal Fur Die Reine Und Angewandte Mathematik. 141-159. DOI: 10.1007/0-387-28124-X_3  0.318
1995 Berndt BC, Chan HH, Zhang LC. Ramanujan's class invariants and cubic continued fraction Acta Arithmetica. 73: 67-85. DOI: 10.4064/Aa-73-1-67-85  0.39
1995 Berndt BC, Chan HH. Ramanujan's Explicit Values for the Classical Theta-Function Mathematika. 42: 278-294. DOI: 10.1112/S0025579300014595  0.375
1995 Berndt BC, Bhargava S, Garvan FG. Ramanujan’s theories of elliptic functions to alternative bases Transactions of the American Mathematical Society. 347: 4163-4244. DOI: 10.1090/S0002-9947-1995-1311903-0  0.436
1994 Berndt BC, Zhang LC. A New Class of Theta-Function Identities Originating in Ramanujan′s Notebooks Journal of Number Theory. 48: 224-242. DOI: 10.1006/Jnth.1994.1064  0.397
1992 Andrews GE, Berndt BC, Jacobsen L, Lamphere RL. The Continued fractions found in the unorganized portions of Ramanujan's notebooks Memoirs of the American Mathematical Society. 99: 0-0. DOI: 10.1090/Memo/0477  0.421
1992 Berndt BC, Zhang LC. Ramanujan's identities for eta-functions Mathematische Annalen. 292: 561-573. DOI: 10.1007/Bf01444636  0.385
1991 Berndt BC, Evans RJ. Some elegant approximations and asymptotic formulas of Ramanujan Journal of Computational and Applied Mathematics. 37: 35-41. DOI: 10.1016/0377-0427(91)90104-R  0.469
1991 Berndt BC, Bhargava S. Ramanujan's inversion formulas for the lemniscate and allied functions Journal of Mathematical Analysis and Applications. 160: 504-524. DOI: 10.1016/0022-247X(91)90323-R  0.407
1988 Almkvist G, Berndt B. Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, p, and the Ladies Diary American Mathematical Monthly. 95: 585-608. DOI: 10.2307/2323302  0.306
1986 Berndt BC, Evans RJ. Chapter 15 of Ramanujan's Second Notebook: Part 2, Modular forms Acta Arithmetica. 47: 123-142. DOI: 10.4064/Aa-47-2-123-142  0.379
1986 Quadling D, Berndt BC. Ramanujan's Notebooks The Mathematical Gazette. 70: 84. DOI: 10.2307/3615877  0.335
1985 Berndt BC, Evans RJ. Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook Journal Fur Die Reine Und Angewandte Mathematik. 1985: 118-134. DOI: 10.1515/Crll.1985.361.118  0.412
1985 Berndt BC, Lamphere RL, Wilson BM. Chapter 12 of Ramanujan's second notebook: Continued fractions Rocky Mountain Journal of Mathematics. 15: 235-310. DOI: 10.1216/Rmj-1985-15-2-235  0.386
1984 Berndt BC, Goldberg LA. Analytic Properties of Arithmetic Sums Arising in the Theory of the Classical Theta-Functions Siam Journal On Mathematical Analysis. 15: 143-150. DOI: 10.1137/0515011  0.461
1983 Berndt BC. The Quarterly Reports Of S. Ramanujan American Mathematical Monthly. 90: 505-516. DOI: 10.2307/2322782  0.408
1983 Berndt BC. Chapter 11 of Ramanujan's second notebook Bulletin of the London Mathematical Society. 15: 273-320. DOI: 10.1112/Blms/15.4.273  0.365
1983 Berndt BC, Evans RJ. Chapter 7 of Ramanujan's second notebook Proceedings of the Indian Academy of Sciences - Mathematical Sciences. 92: 67-96. DOI: 10.1017/S0017089500004675  0.365
1982 Berndt BC. An arithmetic Poisson formula Pacific Journal of Mathematics. 103: 295-299. DOI: 10.2140/Pjm.1982.103.295  0.388
1982 Berndt BC. Sums involving the greatest integer function and Riemann-Stieltjes Integration Journal Fur Die Reine Und Angewandte Mathematik. 1982: 208-220. DOI: 10.1515/Crll.1982.337.208  0.343
1980 Berndt BC, Evans RJ. Half Gauss sums Mathematische Annalen. 249: 115-125. DOI: 10.1007/Bf01351409  0.348
1979 Berndt BC, Evans RJ. Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer Illinois Journal of Mathematics. 23: 374-437. DOI: 10.1215/Ijm/1256048104  0.391
1979 Berndt BC, Evans RJ. Sums of gauss, jacobi, and jacobsthal Journal of Number Theory. 11: 349-398. DOI: 10.1016/0022-314X(79)90008-8  0.379
1978 Berndt BC. Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan Journal Fur Die Reine Und Angewandte Mathematik. 1978: 332-365. DOI: 10.1515/Crll.1978.303-304.332  0.321
1977 Berndt BC. Modular transformations and generalizations of several formulae of Ramanujan Rocky Mountain Journal of Mathematics. 7: 147-189. DOI: 10.1216/Rmj-1977-7-1-147  0.308
1977 Berndt BC, Chowla S. The reckoning of certain quartic and octic Gauss sums Glasgow Mathematical Journal. 18: 153-155. DOI: 10.1017/S0017089500003190  0.324
1977 Berndt BC. Reciprocity theorems for dedekind sums and generalizations Advances in Mathematics. 23: 285-316. DOI: 10.1016/S0001-8708(77)80031-5  0.408
1977 Berndt BC, Glasser ML. A new class of Bessel function integrals Aequationes Mathematicae. 16: 183-186. DOI: 10.1007/Bf01836432  0.376
1977 Berndt BC, Evans RJ. Dedekind sums and class numbers Monatshefte FüR Mathematik. 84: 265-273. DOI: 10.1007/Bf01366496  0.445
1975 Berndt BC, Schoenfeld L. Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory Acta Arithmetica. 28: 23-68. DOI: 10.4064/Aa-28-1-23-68  0.325
1975 Berndt BC. A generalization of a theorem of Gauss on sums involving $[x]$ American Mathematical Monthly. 82: 44-51. DOI: 10.2307/2319132  0.324
1975 Berndt BC. Generalized Eisenstein series and modified Dedekind sums Journal Fur Die Reine Und Angewandte Mathematik. 1975: 182-193. DOI: 10.1515/Crll.1975.272.182  0.348
1975 Berndt BC. The Evaluation of Certain Classes of Nonabsolutely Convergent Double Series Siam Journal On Mathematical Analysis. 6: 966-977. DOI: 10.1137/0506085  0.338
1975 Berndt BC. Identities involving the coefficients of a class of dirichlet series. vii Transactions of the American Mathematical Society. 201: 247-261. DOI: 10.1090/S0002-9947-1970-0260685-5  0.375
1975 Berndt BC. Character analogues of the poisson and Euler-MacLaurin summation formulas with applications Journal of Number Theory. 7: 413-445. DOI: 10.1016/0022-314X(75)90045-1  0.457
1973 Berndt BC. On Gaussian sums and other exponential sums with periodic coefficients Duke Mathematical Journal. 40: 145-156. DOI: 10.1215/S0012-7094-73-04014-3  0.326
1973 Berndt BC. Generalized dedekind eta-functions and generalized dedekind sums(i) Transactions of the American Mathematical Society. 178: 495-508. DOI: 10.1090/S0002-9947-1973-0371817-5  0.396
1973 Berndt BC. An elementary proof of some character sum identities of Apostol Glasgow Mathematical Journal. 14: 50-53. DOI: 10.1017/S0017089500001713  0.37
1971 Berndt BC. The number of zeros of the Dedekind zeta-function on the critical line Journal of Number Theory. 3: 1-6. DOI: 10.1016/0022-314X(71)90044-8  0.358
1971 Berndt BC. On the average order of a class of arithmetical functions, II Journal of Number Theory. 3: 288-305. DOI: 10.1016/0022-314X(71)90036-9  0.378
1970 Berndt BC. The Number of Zeros for ζ(k)(s) Journal of the London Mathematical Society-Second Series. 2: 577-580. DOI: 10.1112/Jlms/2.Part_4.577  0.312
1970 Berndt BC. Identities involving the coefficients of a class of dirichlet series. iv Transactions of the American Mathematical Society. 149: 179-185. DOI: 10.1090/S0002-9947-1970-0260685-5  0.309
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