Critical Values of Symmetric Power L-functions
نویسندگان
چکیده
منابع مشابه
Critical Values of Symmetric Power L-functions
We consider the critical values of symmetric power L-functions attached to elliptic curves over Q. We show how to calculate a canonical Deligne period, and in several numerical examples, especially for sixth and tenth powers, we examine the factorisation of the rational number apparently obtained when one divides the critical value by the canonical period. This seems to provide some support for...
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In a previous article [35] an algebraicity result for the central critical value for L-functions for GLn × GLn−1 over Q was proved assuming the validity of a nonvanishing hypothesis involving archimedean integrals. The purpose of this article is to generalize [35, Thm. 1.1] for all critical values for L-functions for GLn×GLn−1 over any number field F while using the period relations of [37] and...
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Let K be an imaginary quadratic eld and let O be the ring of integers of K. Let E be an elliptic curve deened over Q with complex multiplication by O. Let be the Grr ossencharacter attached to the curve E over K by the theory of complex multiplication, and let L(k ; s) be the complex Hecke L-function attached to the powers of , k = 1; 2; ; here we have xed an embedding of K in C. In a previous ...
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Investigations about the distribution of values of L-functions at s = 1 (in this paper, all Lfunctions are normalized so that the center of the critical strip is s = 1/2) began with the works of Chowla, and Chowla-Erdös in the case of L-functions associated to the family of real Dirichlet characters. Via Dirichlet’s class number formula, these have implications to the study of the distribution ...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2009
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2009.v5.n1.a4