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On the products arising from the Kummer conjecture

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Abstract

Let q be a sufficiently large integer and χ be a Dirichlet character modulo q. In this paper, we extend the product Πχ(−1)=−1 L(1, χ) with prime q, arising from the Kummer conjecture, to the products of some general Dirichlet series, and give some meaningful estimates for them.

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Correspondence to Jun Huai Zhang.

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Supported by National Natural Science Foundation of China (Grant No. 10601039)

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Zhang, J.H., Yi, Y. & Xi, P. On the products arising from the Kummer conjecture. Acta. Math. Sin.-English Ser. 28, 1677–1688 (2012). https://doi.org/10.1007/s10114-012-9491-x

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  • DOI: https://doi.org/10.1007/s10114-012-9491-x

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