Ben Kane, Ph.D.
Affiliations: | 2007 | University of Wisconsin, Madison, Madison, WI |
Area:
MathematicsGoogle:
"Ben Kane"Parents
Sign in to add mentor| Tonghai Yang | grad student | 2007 | UW Madison | |
| (Computationally feasible bounds for representations of integers by ternary quadratic forms and CM lifts of supersingular elliptic curves.) | ||||
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Publications
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| Bringmann K, Kane B. (2022) Conjectures of Sun About Sums of Polygonal Numbers. La Matematica. 1: 809-828 |
| Bringmann K, Kane B. (2020) AN EXTENSION OF ROHRLICH’S THEOREM TO THE $j$ -FUNCTION Forum of Mathematics, Sigma. 8 |
| Banerjee S, Batavia M, Kane B, et al. (2020) Fermat's polygonal number theorem for repeated generalized polygonal numbers Journal of Number Theory |
| Bringmann K, Kane B. (2020) Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms Advances in Mathematics. 373: 107308 |
| He Z, Kane B. (2020) Regular ternary polygonal forms Ramanujan Journal. 1-24 |
| Jang MJ, Kane B, Kohnen W, et al. (2019) Interesting identities involving weighted representations of integers as sums of arbitrarily many squares. Proceedings of the National Academy of Sciences of the United States of America |
| Bringmann K, Kane B, Pippich Av. (2019) Regularized inner products of meromorphic modular forms and higher Green's functions Communications in Contemporary Mathematics. 21: 1850029 |
| Ehlen S, Guerzhoy P, Kane B, et al. (2019) Central L‐values of elliptic curves and local polynomials Proceedings of the London Mathematical Society. 120: 742-769 |
| Bringmann K, Kane B. (2019) Sums of class numbers and mixed mock modular forms Arxiv: Number Theory. 167: 321-333 |
| Bringmann K, Kane B. (2018) Regularized inner products and weakly holomorphic Hecke eigenforms Journal of Physics A. 51: 44001 |