On Bohr's equivalence theorem

Abstract

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

5 pages, v3:Theorems B and C of the previous version are false in general. Here we give the corrected statements and proofs. It differs from the published version

References in corpus (1)

• Zeros of combinations of Euler products for $\sigma >1$

Cited by in corpus (1)

• A generalization of Bohr's Equivalence Theorem