Das, Soumya and Ganguly, Satadal (2016) A NOTE ON SMALL GAPS BETWEEN NONZERO FOURIER COEFFICIENTS OF CUSP FORMS. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 144 (6). pp. 2301-2305.
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Official URL: http://dx.doi.org/10.1090/proc/12887
Abstract
It is shown that there are infinitely many primitive cusp forms f of weight 2 with the property that for all X large enough, every interval (X, X + cX(1/4)), where c > 0 depends only on the form, contains an integer n such that the n-th Fourier coefficient of f is nonzero.
| Item Type: | Journal Article |
|---|---|
| Publication: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Publisher: | AMER MATHEMATICAL SOC |
| Additional Information: | Copy right for this article belongs to the AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA |
| Keywords: | Fourier coefficients of cusp forms; elliptic curves; sums of two squares |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 11 May 2016 05:10 |
| Last Modified: | 11 May 2016 05:10 |
| URI: | http://eprints.iisc.ac.in/id/eprint/53760 |
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