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A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials

โœ Scribed by Ching-Hua Chang; Chung-Wei Ha

Book ID
108175343
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
97 KB
Volume
315
Category
Article
ISSN
0022-247X

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โœ Hideaki Ishikawa; Kohji Matsumoto ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› SP Versita ๐ŸŒ English โš– 413 KB

We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first autho