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...
Main Authors: | , , , , , , , , |
---|---|
Format: | Journal article |
Published: |
Springer US
2017
|