Traces of Hecke operators in level 1 and Gaussian hypergeometric functions
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Publication:2838944
DOI10.1090/S0002-9939-2012-11540-0zbMath1297.11026arXiv1109.3362MaRDI QIDQ2838944
Publication date: 4 July 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3362
Other character sums and Gauss sums (11T24) Fourier coefficients of automorphic forms (11F30) Hypergeometric functions (33C99)
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Cites Work
- Trace formulas for Hecke operators, Gaussian hypergeometric functions, and the modularity of a threefold
- Nonsingular plane cubic curves over finite fields
- The points of a certain fivefold over finite fields and the twelfth power of the eta function
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- Hecke polynomials as congruence \(\zeta\) functions in elliptic modular case
- Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
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- Hypergeometric Functions Over Finite Fields
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- A Gaussian hypergeometric series evaluation and Apéry number congruences
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