Abstract
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 language | English (US) |
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Title of host publication | Number Theory, Analysis and Geometry |
Subtitle of host publication | In Memory of Serge Lang |
Publisher | Springer US |
Pages | 321-353 |
Number of pages | 33 |
Volume | 9781461412601 |
ISBN (Electronic) | 9781461412601 |
ISBN (Print) | 1461412595, 9781461412595 |
DOIs | |
State | Published - Mar 1 2012 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- L-function
- Q-irreducibility
- elliptic curves