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Conditional Bounds on Siegel Zeros

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Combinatorial and Additive Number Theory IV (CANT 2020)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 347))

Abstract

We present an overview of bounds on zeros of L-functions and obtain some improvements under weak conjectures related to the Goldbach problem.

Dedicated to Melvyn Nathanson.

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Acknowledgements

We thank Andrew Granville and Lasse Grimmelt for helpful comments and the referee for an improved presentation.

Note added: After the paper was accepted we learnt of a preprint of Chaohua Jia (arXiv:2010.14161) where a mistake in an earlier version of our paper is corrected.

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Correspondence to Gautami Bhowmik .

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Bhowmik, G., Halupczok, K. (2021). Conditional Bounds on Siegel Zeros. In: Nathanson, M.B. (eds) Combinatorial and Additive Number Theory IV. CANT 2020. Springer Proceedings in Mathematics & Statistics, vol 347. Springer, Cham. https://doi.org/10.1007/978-3-030-67996-5_3

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