TY - JOUR
T1 - The number of [InlineEquation not available
T2 - see fulltext.]-points on Dwork hypersurfaces and hypergeometric functions
AU - McCarthy, Dermot
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85050407005&partnerID=8YFLogxK
U2 - 10.1186/s40687-017-0096-y
DO - 10.1186/s40687-017-0096-y
M3 - Article
AN - SCOPUS:85050407005
SN - 2522-0144
VL - 4
JO - Research in Mathematical Sciences
JF - Research in Mathematical Sciences
IS - 1
M1 - 4
ER -