Dwork hypersurfaces of degree six and Greene's hypergeometric function

Autor:	Kumabe, Satoshi
Rok vydání:	2020
Předmět:	Mathematics - Number Theory 14G15 11T24
Druh dokumentu:	Working Paper
Popis:	In this paper, we give a formula for the number of rational points on the Dwork hypersurfaces of degree six over finite fields by using Greene's finite-field hypergeometric function, which is a generalization of Goodson's formula for the Dwork hypersurfaces of degree four. Our formula is also a higher-dimensional and a finite field analogue of Matsumoto-Terasoma-Yamazaki's formula. Furthermore, we also explain the relation between our formula and Miyatani's formula. Comment: https://sites.google.com/view/satoshi-kumabe/home
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.13079 Zobrazit plný text záznamu View this record from Arxiv