It is conjectured that the Selberg class of L-functions is a unique factorization semigroup. It is not clear if such a property should hold for the extended Selberg class as well. Here we prove the unique factorization of certain subsemigroups of the extended Selberg class. These semigroups are generated by the functions of degree 0 and 1. We also consider extensions of such results and applications to classical L-functions.

Unique factorization results for semigroups of L-functions

PERELLI, ALBERTO
2008-01-01

Abstract

It is conjectured that the Selberg class of L-functions is a unique factorization semigroup. It is not clear if such a property should hold for the extended Selberg class as well. Here we prove the unique factorization of certain subsemigroups of the extended Selberg class. These semigroups are generated by the functions of degree 0 and 1. We also consider extensions of such results and applications to classical L-functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/224588
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