Twists by Dirichlet Characters and Polynomial Euler Products of L-Functions, II

Jerzy Kaczorowski () and Alberto Perelli ()
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Jerzy Kaczorowski: A. Mickiewicz University, Faculty of Mathematics and Computer Science
Alberto Perelli: Università di Genova, Dipartimento di Matematica

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 199-222 from Springer

Abstract: Abstract In a previous paper we proved that if an L-function F from the Selberg class has degree 2, its conductor q F $$q_F$$ is a prime number and F is weakly twist-regular at all primes p ≠ q F $$p\neq q_F$$ , then F has a polynomial Euler product. In this paper we extend this result to L-functions of degree 2 with square-free conductor q F $$q_F$$ , which are weakly twist-regular at all primes p ∤ q F $$p\nmid q_F$$ .

Keywords: Twists by Dirichlet characters; Euler products; Selberg class (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31617-3_13

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DOI: 10.1007/978-3-031-31617-3_13

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