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Title: Large prime gaps and progressions with few primes
We show that the existence of arithmetic progressions with few primes, with a quantitative bound on ''few'', implies the existence of larger gaps between primes less than x than is currently known unconditionally. In particular, we derive this conclusion if there are certain types of exceptional zeros of Dirichlet L-functions.
Authors:
Editors:
Alessandro Zaccagnini
Award ID(s):
1802139
Publication Date:
NSF-PAR ID:
10338321
Journal Name:
Rivista di matematica della Università di Parma
Volume:
12
Issue:
1
Page Range or eLocation-ID:
41-47
ISSN:
0035-6298
Sponsoring Org:
National Science Foundation
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