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A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function

โœ Scribed by Lettington, M. C.

Book ID
119940503
Publisher
Institute of Mathematics of the Polish Academy of Sciences
Year
2013
Tongue
English
Weight
352 KB
Volume
158
Category
Article
ISSN
0065-1036

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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