Kumabe, Satoshi Dwork hypersurfaces of degree six and Greene’s hypergeometric function. (English) Zbl 1517.11148 Hiroshima Math. J. 52, No. 3, 287-310 (2022). MSC: 11T24 11G25 14G05 33C20 14G15 PDFBibTeX XMLCite \textit{S. Kumabe}, Hiroshima Math. J. 52, No. 3, 287--310 (2022; Zbl 1517.11148) Full Text: DOI arXiv
Varchenko, Alexander [Sperber, Steven] Notes on solutions of KZ equations modulo \(p^s\) and \(p\)-adic limit \(s\to\infty\). (English) Zbl 1497.13020 Koelink, Erik (ed.) et al., Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7–11, 2020. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 780, 309-347 (2022). MSC: 13A35 11G25 14G10 33C60 32G20 PDFBibTeX XMLCite \textit{A. Varchenko}, Contemp. Math. 780, 309--347 (2022; Zbl 1497.13020) Full Text: DOI arXiv
Sulakashna; Barman, Rupam Number of \(\mathbb{F}_q\)-points on Diagonal hypersurfaces and hypergeometric function. arXiv:2210.11732 Preprint, arXiv:2210.11732 [math.NT] (2022). MSC: 11G25 33E50 11S80 11T24 BibTeX Cite \textit{Sulakashna} and \textit{R. Barman}, ``Number of $\mathbb{F}_q$-points on Diagonal hypersurfaces and hypergeometric function'', Preprint, arXiv:2210.11732 [math.NT] (2022) Full Text: arXiv OA License
Beukers, Frits; Vlasenko, Masha Dwork crystals. I. (English) Zbl 1492.14039 Int. Math. Res. Not. 2021, No. 12, 8807-8844 (2021). Reviewer: B. Z. Moroz (Bonn) MSC: 14G20 11F30 11F85 11S80 11G25 14M25 14L05 32P05 33C20 PDFBibTeX XMLCite \textit{F. Beukers} and \textit{M. Vlasenko}, Int. Math. Res. Not. 2021, No. 12, 8807--8844 (2021; Zbl 1492.14039) Full Text: DOI arXiv
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 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). MSC: 11F33 14J32 33C20 11G25 PDFBibTeX XMLCite \textit{L. Long} et al., MATRIX Book Ser. 2, 467--470 (2019; Zbl 1443.11053) Full Text: DOI
Goodson, Heidi Hypergeometric properties of genus 3 generalized Legendre curves. (English) Zbl 1442.11168 J. Number Theory 186, 121-136 (2018). MSC: 11T24 11G25 33C20 PDFBibTeX XMLCite \textit{H. Goodson}, J. Number Theory 186, 121--136 (2018; Zbl 1442.11168) Full Text: DOI arXiv
Goodson, Heidi A complete hypergeometric point count formula for Dwork hypersurfaces. (English) Zbl 1418.11157 J. Number Theory 179, 142-171 (2017). MSC: 11T24 11G25 33C20 PDFBibTeX XMLCite \textit{H. Goodson}, J. Number Theory 179, 142--171 (2017; Zbl 1418.11157) Full Text: DOI arXiv
McCarthy, Dermot The number of \(\mathbb F_p\)-points on Dwork hypersurfaces and hypergeometric functions. (English) Zbl 1410.11082 Res. Math. Sci. 4, Paper No. 4, 15 p. (2017). MSC: 11G25 33E50 11S80 11T24 PDFBibTeX XMLCite \textit{D. McCarthy}, Res. Math. Sci. 4, Paper No. 4, 15 p. (2017; Zbl 1410.11082) Full Text: DOI arXiv
Goodson, Heidi Hypergeometric functions and relations to Dwork hypersurfaces. (English) Zbl 1419.11135 Int. J. Number Theory 13, No. 2, 439-485 (2017). MSC: 11T24 11G25 33C20 PDFBibTeX XMLCite \textit{H. Goodson}, Int. J. Number Theory 13, No. 2, 439--485 (2017; Zbl 1419.11135) Full Text: DOI arXiv
Barman, Rupam; Rahman, Hasanur; Saikia, Neelam Counting points on Dwork hypersurfaces and \(p\)-adic hypergeometric functions. (English) Zbl 1418.11102 Bull. Aust. Math. Soc. 94, No. 2, 208-216 (2016). MSC: 11G25 11S80 11T24 33C20 33E50 PDFBibTeX XMLCite \textit{R. Barman} et al., Bull. Aust. Math. Soc. 94, No. 2, 208--216 (2016; Zbl 1418.11102) Full Text: DOI arXiv
Beukers, Frits; Cohen, Henri; Mellit, Anton Finite hypergeometric functions. (English) Zbl 1397.11162 Pure Appl. Math. Q. 11, No. 4, 559-589 (2015). MSC: 11T24 11G25 33C20 14G05 PDFBibTeX XMLCite \textit{F. Beukers} et al., Pure Appl. Math. Q. 11, No. 4, 559--589 (2015; Zbl 1397.11162) Full Text: DOI arXiv
Salerno, Adriana Counting points over finite fields and hypergeometric functions. (English) Zbl 1295.11074 Funct. Approximatio, Comment. Math. 49, No. 1, 137-157 (2013). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G25 33C20 14G05 PDFBibTeX XMLCite \textit{A. Salerno}, Funct. Approximatio, Comment. Math. 49, No. 1, 137--157 (2013; Zbl 1295.11074) Full Text: DOI arXiv Euclid
Rodriguez-Villegas, Fernando Hypergeometric families of Calabi-Yau manifolds. (English) Zbl 1062.11038 Yui, Noriko (ed.) et al., Calabi-Yau varieties and mirror symmetry. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3355-3/hbk). Fields Inst. Commun. 38, 223-231 (2003). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 11G25 11A07 33C20 14J32 32Q25 PDFBibTeX XMLCite \textit{F. Rodriguez-Villegas}, Fields Inst. Commun. 38, 223--231 (2003; Zbl 1062.11038)
Lian, Bong H.; Yau, Shing-Tung The \(n\)th root of the mirror map. (English) Zbl 1048.11049 Yui, Noriko (ed.) et al., Calabi-Yau varieties and mirror symmetry. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3355-3/hbk). Fields Inst. Commun. 38, 195-199 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11G25 34M15 12H25 14J32 32Q25 33C20 PDFBibTeX XMLCite \textit{B. H. Lian} and \textit{S.-T. Yau}, Fields Inst. Commun. 38, 195--199 (2003; Zbl 1048.11049)