Report on the irreducibility of L-functions

Nicholas M. Katz ()
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Nicholas M. Katz: Princeton University, Department of Mathematics

A chapter in Number Theory, Analysis and Geometry, 2012, pp 321-353 from Springer

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.

Keywords: Q-irreducibility; L-function; elliptic curves (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1260-1_15

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DOI: 10.1007/978-1-4614-1260-1_15

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