Report on the irreducibility of L -functions
Identifieur interne : 000138 ( Main/Exploration ); précédent : 000137; suivant : 000139Report on the irreducibility of L -functions
Auteurs : Nicholas M. Katz [États-Unis]Source :
Abstract
Abstract: In this paper, in honor of the memory of Serge Lang, we apply ideas of Chavdarov and work of Larsen to study the $$\mathbb{Q}$$ -irreducibility, or lack thereof, of various orthogonal L-functions, especially L-functions of elliptic curves over function fields in one variable over finite fields. We also discuss two other approaches to these questions, based on work of Matthews, Vaserstein, and Weisfeller, and on work of Zalesskii-Serezkin.
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DOI: 10.1007/978-1-4614-1260-1_15
Affiliations:
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