In this paper we prove the unique factorization of certain subsemigroups of the extended Selberg class of $L$-functions. 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 / J. Kaczorowski, G. Molteni, A. Perelli. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 341:3(2008 Jul), pp. 517-527.
Unique factorization results for semigroups of L-functions
G. Molteni;
2008
Abstract
In this paper we prove the unique factorization of certain subsemigroups of the extended Selberg class of $L$-functions. 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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