Jump to ContentJump to Main Navigation
Show Summary Details

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

IMPACT FACTOR 2015: 0.823
Rank 88 out of 312 in category Mathematics and 124 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.848
Source Normalized Impact per Paper (SNIP) 2015: 1.000
Impact per Publication (IPP) 2015: 0.606

Mathematical Citation Quotient (MCQ) 2015: 0.66

See all formats and pricing


Select Volume and Issue


On the zeros of certain Epstein zeta functions

1 / Julia Mueller2

Citation Information: Forum Mathematicum. Volume 20, Issue 2, Pages 359–385, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/FORUM.2008.018, May 2008

Publication History

Published Online:


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.

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.

Энрико Бомбьери, Enrico Bombieri, Амит Гош, and Amit Ghosh
Успехи математических наук, 2011, Volume 66, Number 2, Page 15
E. Bombieri
Milan Journal of Mathematics, 2010, Volume 78, Number 1, Page 11

Comments (0)

Please log in or register to comment.