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Zero-density estimates for automorphic L-functions

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Abstract

In this paper we prove zero-density estimates of the large sieve type for the automorphic L-function L(s, fχ), where f is a holomorphic cusp form and χ(mod q) is a primitive character.

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Correspondence to De Yu Zhang.

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This work is supported by Mathematical Tianyuan Foundation (No. 10826028) and National Natural Science Foundation of China (Grant No. 10771127, 10571107)

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Zhang, D.Y. Zero-density estimates for automorphic L-functions. Acta. Math. Sin.-English Ser. 25, 945–960 (2009). https://doi.org/10.1007/s10114-009-7176-x

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  • DOI: https://doi.org/10.1007/s10114-009-7176-x

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