A conjectural extension of Hecke’s converse theorem

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...

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Bibliographic Details
Main Authors: Bettin, S, Bober, JW, Booker, AR, Conrey, B, Lee, M, Molteni, G, Oliver, TD, Platt, DJ, Steiner, RS
Format: Journal article
Published: Springer US 2017