Summation identities and transformations for hypergeometric series
DOI10.1007/s40316-017-0087-9zbMath1451.11053arXiv1609.06829OpenAlexW2963457810MaRDI QIDQ1616059
Publication date: 31 October 2018
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06829
Gauss sumsalgebraic curvesTeichmüller characterGaussian hypergeometric seriesJacobi sums\(p\)-adic gamma function\(p\)-adic hypergeometric seriescharacter of finite fields
Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Hypergeometric functions (33C99)
Related Items (1)
Cites Work
- Counting points over finite fields and hypergeometric functions
- On the polynomials \(x^d+ax^i+b\) and \(x^d+ax^{d-i}+b\) over \(\mathbb F_q\) and Gaussian hypergeometric series
- \(p\)-adic gamma function and the polynomials \(x^d + ax + b\) and \(x^d + ax^{d-1} + b\) over \(\mathbb{F}_q\)
- Gauss sums and the p-adic \(\Gamma\)-function
- \(p\)-adic cycles
- The trace of Frobenius of elliptic curves and the \(p\)-adic gamma function
- Summation identities and special values of hypergeometric series in the \(p\)-adic setting
- Hypergeometric functions and relations to Dwork hypersurfaces
- COUNTING POINTS ON DWORK HYPERSURFACES AND -ADIC HYPERGEOMETRIC FUNCTIONS
- EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
- Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms
- Hypergeometric Functions Over Finite Fields
- Exponential Sums and Differential Equations. (AM-124)
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