Small gaps in coefficients of L-functions and B-free numbers in small intervals

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We discuss questions related to the non-existence of gaps in the series defining modular forms and other arithmetic functions of various types, and improve results of Serre, Balog and Ono, and Alkan, using new results about exponential sums and the distribution of $B$-free numbers.
37 pages

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Number Theory, 11F12; 11F30; 11F66; 11L15; 11N25

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http://salesiana.dossiersoluciones.com/handle/123456789/75634

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507001
 http://arxiv.org/abs/math/0507001

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arXiv