HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES

DOI10.1142/S1793042111004976zbMATH Open1287.11138arXiv1008.3401MaRDI QIDQ3115741

Author name not available (Why is that?)

Publication date: 10 February 2012

Published in: (Search for Journal in Brave)

Abstract: In this work we present an explicit relation between the number of points on a family of algebraic curves over $F_q$ and sums of values of certain hypergeometric functions over $F_q$. Moreover, we show that these hypergeometric functions can be explicitly related to the roots of the zeta function of the curve over $F_q$ in some particular cases. A general conjecture relating these last two is presented and advances toward its proof are shown in the last section.

Full work available at URL: https://arxiv.org/abs/1008.3401

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3115741)