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Integral mean values of modular L-functions

✍ Scribed by Qiao Zhang

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 226 KB
Volume: 115
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.10.007

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the mean squares of L-functions associated to modular forms with respect to Hecke congruence subgroups, expressing the mean value as an inner product. This avoids the discussion of generalized additive divisor problems. As applications, we obtain asymptotic formulas for both weighted and unweighted mean squares.

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