Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Zeros of Dedekind zeta functions under GRH

Authors: Loïc Grenié and Giuseppe Molteni
Journal: Math. Comp. 85 (2016), 1503-1522
MSC (2010): Primary 11R42
Published electronically: October 9, 2015
MathSciNet review: 3454373
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in $ [T-a,T+a]$. We also prove a bound for the multiplicity of the zeros.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 11R42

Retrieve articles in all journals with MSC (2010): 11R42

Additional Information

Loïc Grenié
Affiliation: Dipartimento di Ingegneria Gestionale, dell’Informazione e della Produzione, Università di Bergamo, viale Marconi 5, 24044 Dalmine (BG) Italy

Giuseppe Molteni
Affiliation: Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy

Received by editor(s): July 4, 2014
Received by editor(s) in revised form: October 18, 2014, and November 7, 2014
Published electronically: October 9, 2015
Article copyright: © Copyright 2015 American Mathematical Society