Report on the irreducibility of L-functions

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In this paper, in honor of the memory of Serge Lang, we apply ideas of Chavdarov and work of Larsen to study the-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.

Original languageEnglish (US)
Title of host publicationNumber Theory, Analysis and Geometry
Subtitle of host publicationIn Memory of Serge Lang
PublisherSpringer US
Number of pages33
ISBN (Electronic)9781461412601
ISBN (Print)1461412595, 9781461412595
StatePublished - Mar 1 2012

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • L-function
  • Q-irreducibility
  • elliptic curves


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