We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.NT
< prev | next >
new | recent | 1812

Change to browse by:

math

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Number Theory

Title: On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s

Authors: T. Hilberdink, E. Saias
(Submitted on 31 Dec 2018 (v1), last revised 26 Apr 2024 (this version, v2))
Abstract: Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give several sufficient conditions for the Generalized Riemann Hypothesis and ask if any of them are true.
Comments: There is an error in the proof of the main result that cannot be repaired
Subjects: Number Theory (math.NT)
MSC classes: 11M41, 11M06, 11M26
Cite as: arXiv:1812.11880 [math.NT]
  (or arXiv:1812.11880v2 [math.NT] for this version)

Submission history

From: Eric Saias [view email]
[v1] Mon, 31 Dec 2018 16:21:14 GMT (18kb)
[v2] Fri, 26 Apr 2024 07:37:09 GMT (0kb,I)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

Link back to: arXiv, form interface, contact.