Small Gaps in Coefficients of L-functions and B-free Numbers in Short Intervals
نویسندگان
چکیده
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 & Ono and Alkan using new results about exponential sums and the distribution of B-free numbers.
منابع مشابه
On the Distribution of B-free Numbers and Non-vanishing Fourier Coefficients of Cusp Forms
We study properties of B-free numbers, that is numbers that are not divisible by any member of a set B. First we formulate the most-used procedure for finding them (in a given set of integers) as easy-to-apply propositions. Then we use the propositions to consider Diophantine properties of B-free numbers and their distribution on almost all short intervals. Results onB-free numbers have implica...
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