On the nontrivial zeros of modified Epstein zeta functions

Haseo Ki

doi:10.1016/j.crma.2005.11.015

On the nontrivial zeros of modified Epstein zeta functions

Haseo Ki

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We study the zeros of modified Epstein zeta functions having functional equations. The result is that for any δ > 0, all but finitely many nontrivial zeros of such a function in {s ∈ ℂ: s-1/2 < δ} are simple and on the critical line. As an immediate consequence of this theorem, all but finitely many nontrivial zeros of many modified Epstein zeta functions are simple and on the critical line.

Original language	English
Pages (from-to)	79-81
Number of pages	3
Journal	Comptes Rendus Mathematique
Volume	342
Issue number	2
DOIs	https://doi.org/10.1016/j.crma.2005.11.015
Publication status	Published - 2006 Jan 15

Bibliographical note

Funding Information:
✩ This work was supported by grant No. R01-2005-000-10339-0 from the Basic Research Program of the Korea Science & Engineering Foundation. E-mail address: haseo@yonsei.ac.kr (H. Ki).

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/j.crma.2005.11.015

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author = "Haseo Ki",

note = "Funding Information: ✩ This work was supported by grant No. R01-2005-000-10339-0 from the Basic Research Program of the Korea Science & Engineering Foundation. E-mail address: haseo@yonsei.ac.kr (H. Ki).",

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On the nontrivial zeros of modified Epstein zeta functions

Abstract

Bibliographical note

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