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.

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 |
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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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