JP Journal of Algebra, Number Theory and Applications
Volume 29, Issue 2, Pages 175 - 188
(June 2013)
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EVALUATIONS ON THE MEAN VALUE FORMULA OF ATKINSON-TYPE FOR MODULAR L FUNCTIONS
Mitsuhiro Aoki
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Abstract: We consider an integral of a modular Lfunction, which was introduced by Jutila [5], and prove a mean value formula and an omega result on it. Our theorems and their proofs are analogous to those of Heath-Brown [2] and of Heath-Brown and Tsang [3]. |
Keywords and phrases: modular Lfunction, Atkinson formula, mean value, error term, sign change, omega result. |
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