Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms
Number Theory
2020-01-28 v1
Abstract
In this article, we study the simultaneous sign changes of the Fourier coefficients of two Hilbert cusp forms of different integral weights. We also study the simultaneous non-vanishing of Fourier coefficients, of two distinct non-zero primitive Hilbert cuspidal non-CM eigenforms of integral weights, at powers of a fixed prime ideal.
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Cite
@article{arxiv.1805.00230,
title = {Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms},
author = {Surjeet Kaushik and Narasimha Kumar},
journal= {arXiv preprint arXiv:1805.00230},
year = {2020}
}
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Submitted for publication