A zero-free region for hypergeometric zeta functions

Abdul Hassen; Hieu D. Nguyen

doi:10.1142/S1793042111004678

A zero-free region for hypergeometric zeta functions

Abdul Hassen, Hieu D. Nguyen

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This paper investigates the location of "trivial" zeros of some hypergeometric zeta functions. Analogous to Riemann's zeta function, we demonstrate that they possess a zero-free region on a left-half complex plane, except for infinitely many zeros regularly spaced on the negative real axis.

Original language	English (US)
Pages (from-to)	1033-1043
Number of pages	11
Journal	International Journal of Number Theory
Volume	7
Issue number	4
DOIs	https://doi.org/10.1142/S1793042111004678
State	Published - Jun 2011

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1142/S1793042111004678

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A zero-free region for hypergeometric zeta functions

Abstract

All Science Journal Classification (ASJC) codes

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