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Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. (English) Zbl 0316.10023

11L03Trigonometric and exponential sums, general
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Full Text: DOI
[1] Abramowitz, Milton; Stegun, Irene A.: Handbook of mathematical functions. (1965) · Zbl 0171.38503
[2] Ankeny, N. C.; Artin, E.; Chowla, S.: The class number of real quadratic fields. Ann. math. 56, 479-493 (1952) · Zbl 0049.30605
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[6] Berndt, Bruce C.: Identities involving the coefficients of a class of Dirichlet series. Ph.d. thesis (1966)
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[11] Carlitz, L.: Arithmetic properties of generalized Bernoulli numbers. J. reine angew. Math. 202, 174-182 (1959) · Zbl 0125.02202
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[14] Gradshteyn, I. S.; Ryzhik, I. M.: 4th ed. Table of integrals, series and products. Table of integrals, series and products (1963) · Zbl 0918.65002
[15] English transl., Academic Press, New York, 1965.
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[20] Landau, E.: 2nd ed. Vorlesungen über zahlentheorie. Vorlesungen über zahlentheorie 2 (1947)
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[22] Lipschitz, R.: Untersuchung der eigenschaften einer gattung von unendlichen reihen. J. reine angew. Math. 105, 127-156 (1889)
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