Splitting hypergeometric functions over roots of unity. (English) Zbl 07914826
Reviewer: Uğur Duran (İskenderun)
Found 19 Documents (Results 1–19)
On some hypergeometric supercongruence conjectures of Long. (English) Zbl 1536.33026
Reviewer: Vijay Yadav (Virar)
Appell series over finite fields and modular forms. (English) Zbl 1535.33014
Reviewer: Lei Yang (Beijing)
Sato-Tate distribution of \(p\)-adic hypergeometric functions. (English) Zbl 1518.11051
Reviewer: Noriko Yui (Kingston)
\(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves. (English) Zbl 1506.11150
Hypergeometric functions over finite fields and modular forms. A survey and new conjectures. (English) Zbl 1492.11093
Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 41-56 (2021).
Reviewer: Noriko Yui (Kingston)
Supercongruences for rigid hypergeometric Calabi-Yau threefolds. (English) Zbl 1479.14047
Reviewer: Davide Cesare Veniani (Stuttgart)
Some numeric hypergeometric supercongruences. (English) Zbl 1489.11006
Krauel, Matthew (ed.) et al., Vertex operator algebras, number theory and related topics. International conference, California State University, Sacramento, CA, USA, June 11–15, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 753, 139-156 (2020).
Reviewer: Olaf Ninnemann (Uffing am Staffelsee)
Zeros of \(p\)-adic hypergeometric functions, \(p\)-adic analogues of Kummer’s and Pfaff’s identities. (English) Zbl 1453.11156
Reviewer: Yilmaz Simsek (Antalya)
Supercongruences for truncated hypergeometric series and \(p\)-adic gamma function. (English) Zbl 1509.11003
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. (English) Zbl 1443.11053
Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 467-470 (2019).
A modular supercongruence for \({}_6 F_5\): an Apéry-like story. (Une supercongruence modulaire pour \({}_6 F_5\): un conte à la Apéry.) (English. French summary) Zbl 1429.11039
The number of \(\mathbb F_p\)-points on Dwork hypersurfaces and hypergeometric functions. (English) Zbl 1410.11082
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