The number of [InlineEquation not available: see fulltext.]-points on Dwork hypersurfaces and hypergeometric functions

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Abstract

We provide a formula for the number of Fp-points on the Dwork hypersurface x1n+x2n⋯+xnn-nλx1x2…xn=0in terms of a p-adic hypergeometric function previously defined by the author. This formula holds in the general case, i.e., for any n,λ∈Fp∗ and for all odd primes p, thus extending results of Goodson and Barman et al. which hold in certain special cases.

Original languageEnglish
Article number4
JournalResearch in Mathematical Sciences
Volume4
Issue number1
DOIs
StatePublished - Dec 1 2017

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