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On the rank and the convergence rate toward the Sato-Tate measure

Autor
Fite, F.; Guitart, X.
Tipus d'activitat
Article en revista
Revista
International mathematics research notices
Data de publicació
2017-10-16
Pàgina inicial
1
Pàgina final
30
DOI
https://doi.org/10.1093/imrn/rnx234 Obrir en finestra nova
Projecte finançador
Euler systems and the conjectures of Birch and Swinnerton-Dyer, Bloch and Kato (BSD)
Repositori
http://hdl.handle.net/2117/114584 Obrir en finestra nova
URL
https://academic.oup.com/imrn/advance-article-abstract/doi/10.1093/imrn/rnx234/4554444 Obrir en finestra nova
Resum
Let A be an abelian variety defined over a number field and let G denote its Sato–Tate group. Under the assumption of certain standard conjectures on L -functions attached to the irreducible representations of G, we study the convergence rate of any virtual character of G. We find that this convergence rate is dictated by several arithmetic invariants of A, such as its rank or its Sato–Tate group G. The results are consonant with some previous experimental observations, and we also provide a...
Citació
Fite, F., Guitart, X. On the rank and the convergence rate toward the Sato-Tate measure. "International mathematics research notices", 16 Octubre 2017, p. 1-30.
Grup de recerca
TN - Grup de Recerca en Teoria de Nombres

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