Identities Involving Coefficients of Automorphic L-Functions

Identities Involving Coefficients of Automorphic L-Functions
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DOI:
10.1007/s10958-006-0086-x
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发表时间:
2006-03
影响因子:
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通讯作者:
O. M. Fomenko
O. M. Fomenko
中科院分区:
--
文献类型:
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作者:
O. M. Fomenko

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设f(z)是关于SL(2,n)的权为k的全纯Hecke特征形,记f的对称平方L-函数.证明了一个Voronoi型公式和关系式。在这方面所产生的指数和估计的启发式方法被认为是。参考书目:9种。
Let f (z) be a holomorphic Hecke eigenform of weight k with respect to SL (2, ℤ) and let denote the symmetric square L-function of f. A Voronoi type formula for and the relation are proved. Heuristic approaches to estimation of exponential sums arising in this connection are considered. Bibliography: 9 titles.