Exceptional zeros and the Goldbach problem
Publication Date
4-1-2022
Document Type
Article
Publication Title
Journal of Number Theory
Volume
233
DOI
10.1016/j.jnt.2021.06.004
First Page
78
Last Page
86
Abstract
We show that the assumption of a weak form of the Hardy-Littlewood conjecture on the Goldbach problem suffices to disprove the possible existence of exceptional zeros of Dirichlet L-functions.
Funding Number
18K13400
Funding Sponsor
Natural Sciences and Engineering Research Council of Canada
Keywords
Goldbach problem, Primes, Zeros
Department
Mathematics and Statistics
Recommended Citation
J. B. Friedlander, D. A. Goldston, H. Iwaniec, and A. I. Suriajaya. "Exceptional zeros and the Goldbach problem" Journal of Number Theory (2022): 78-86. https://doi.org/10.1016/j.jnt.2021.06.004
COinS
