Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishLet be an elliptic curve over , and let be an integer. According to the Lang-Trotter conjecture, the number of primes such that is either finite, or is asymptotic to where is a non-zero constant. A typical example of the former is the case of rational -torsion, where is impossible if . We prove in this paper that, when has a rational -isogeny and , the number of primes such that is finite (for some modulo ) if and only if has rational -torsion over the cyclotomic field . The case is special, and is also treated in the paper. We also classify all those occurences.
http://hdl.handle.net/11590/143962| Titolo: | : Galois representations with non surjective traces. |
| Autori: | |
| Data di pubblicazione: | 1999 |
| Rivista: | |
| Abstract: | Let be an elliptic curve over , and let be an integer. According to the Lang-Trotter conjecture, the number of primes such that is either finite, or is asymptotic to where is a non-zero constant. A typical example of the former is the case of rational -torsion, where is impossible if . We prove in this paper that, when has a rational -isogeny and , the number of primes such that is finite (for some modulo ) if and only if has rational -torsion over the cyclotomic field . The case is special, and is also treated in the paper. We also classify all those occurences. |
| Handle: | http://hdl.handle.net/11590/143962 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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