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

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

2005-06-30

arxiv.org/abs/math/0507001v1

Mathematics

Number Theory

37 pages

Scientific paper

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.

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