Bruce C. Berndt - Publications

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

16 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
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  0.48
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  0.52
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  0.4
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  0.56
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  0.44
2007 Berndt BC, Chan SH. Sixth order mock theta functions Advances in Mathematics. 216: 771-786. DOI: 10.1016/j.aim.2007.06.004  0.96
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  0.76
2005 Berndt BC, Yesilyurt H. New identities for the Rogers-Ramanujan functions Acta Arithmetica. 120: 395-413. DOI: 10.4064/aa120-4-5  1
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  0.4
2005 Berndt BC, Chant HH, Chan SH, Liaw WC. Ramanujan and cranks Developments in Mathematics. 13: 78-98.  0.8
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  0.56
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: 10.1090/S0002-9947-02-03155-0  0.44
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  0.92
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  0.96
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  1
2000 Berndt BC, Chan HH, Sohn J, Son SH. Eisenstein series in Ramanujan's lost notebook Ramanujan Journal. 4: 81-114.  0.32
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