Zeros of derivatives of sum of Dirichlet L-functions

Haseo Ki; Yoonbok Lee

doi:10.1016/j.jnt.2009.05.008

Zeros of derivatives of sum of Dirichlet L-functions

Haseo Ki, Yoonbok Lee

Department of Mathematics

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

Abstract

A linear combination L (s) of two Dirichlet L-functions has infinitely many complex zeros in Re s < 0. In this note we prove an infinity of complex zeros of L^(k) (s) in the same region.

Original language	English
Pages (from-to)	2743-2746
Number of pages	4
Journal	Journal of Number Theory
Volume	129
Issue number	11
DOIs	https://doi.org/10.1016/j.jnt.2009.05.008
Publication status	Published - 2009 Nov

Bibliographical note

Funding Information:
✩ This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MOST) (No. R01-2007-000-20018-0). * Corresponding author. E-mail addresses: haseo@yonsei.ac.kr (H. Ki), leeyb@yonsei.ac.kr (Y. Lee).

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2009.05.008

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title = "Zeros of derivatives of sum of Dirichlet L-functions",

abstract = "A linear combination L (s) of two Dirichlet L-functions has infinitely many complex zeros in Re s < 0. In this note we prove an infinity of complex zeros of L(k) (s) in the same region.",

author = "Haseo Ki and Yoonbok Lee",

note = "Funding Information: ✩ This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MOST) (No. R01-2007-000-20018-0). * Corresponding author. E-mail addresses: haseo@yonsei.ac.kr (H. Ki), leeyb@yonsei.ac.kr (Y. Lee).",

year = "2009",

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doi = "10.1016/j.jnt.2009.05.008",

language = "English",

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AU - Lee, Yoonbok

N1 - Funding Information: ✩ This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MOST) (No. R01-2007-000-20018-0). * Corresponding author. E-mail addresses: haseo@yonsei.ac.kr (H. Ki), leeyb@yonsei.ac.kr (Y. Lee).

PY - 2009/11

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N2 - A linear combination L (s) of two Dirichlet L-functions has infinitely many complex zeros in Re s < 0. In this note we prove an infinity of complex zeros of L(k) (s) in the same region.

AB - A linear combination L (s) of two Dirichlet L-functions has infinitely many complex zeros in Re s < 0. In this note we prove an infinity of complex zeros of L(k) (s) in the same region.

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Zeros of derivatives of sum of Dirichlet L-functions

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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