Author
Bettin, S
Bober, J
Booker, A
Conrey, B
Lee, M
Molteni, G
Oliver, T
Platt, D
Steiner, R
Journal title
Ramanujan Journal
DOI
10.1007/s11139-017-9953-y
Issue
3
Volume
47
Last updated
2020-04-07T17:22:46.983+01:00
Page
659–684-
Abstract
We formulate a precise conjecture that, if true, extends the converse theorem of Hecke without requiring hypotheses on twists by Dirichlet characters or an Euler product. The main idea is to linearize the Euler product, replacing it by twists by Ramanujan sums. We provide evidence for the conjecture, including proofs of some special cases and under various additional hypotheses.
Symplectic ID
807185
Publication type
Journal Article
Publication date
10 November 2017
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