Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

6 Issues per year


IMPACT FACTOR 2016: 0.755
5-year IMPACT FACTOR: 0.789

CiteScore 2016: 0.67

SCImago Journal Rank (SJR) 2016: 1.000
Source Normalized Impact per Paper (SNIP) 2016: 1.168

Mathematical Citation Quotient (MCQ) 2016: 0.75

Online
ISSN
1435-5337
See all formats and pricing
More options …
Volume 20, Issue 2 (Mar 2008)

Issues

On the zeros of certain Epstein zeta functions

Enrico Bombieri / Julia Mueller
  • Julia Mueller, Mathematics Department, Fordham University, 407 John Mulcahy Hall, Bronx, NY 10458-5165, USA.
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2008-05-04 | DOI: https://doi.org/10.1515/FORUM.2008.018

Abstract

This paper studies the distribution of zeros of certain Epstein zeta functions, associated to positive definite binary quadratic forms with class number 2, in the region of absolute convergence of their Dirichlet series. In particular, one obtains upper and lower bounds for the rate of approach of zeros to the boundary of the zero-free half-plane for such functions. The proof for the lower bound depends on Bohr's method for studying simultaneous diophantine approximations. The upper bound uses instead a deep result on the diophantine type of the ratio of the logarithms of two rational numbers.

2000 Mathematics Subject Classification: 11E45; 11M41.

About the article


Received: 2005-09-30

Published Online: 2008-05-04

Published in Print: 2008-03-01


Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/FORUM.2008.018.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Andreas Strömbergsson and Anders Södergren
Mathematische Annalen, 2017
[2]
Mattia Righetti
Journal of Mathematical Analysis and Applications, 2017, Volume 445, Number 1, Page 650
[3]
[4]
Энрико Бомбьери, Enrico Bombieri, Амит Гош, and Amit Ghosh
Успехи математических наук, 2011, Volume 66, Number 2, Page 15
[5]
E. Bombieri
Milan Journal of Mathematics, 2010, Volume 78, Number 1, Page 11

Comments (0)

Please log in or register to comment.
Log in