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arXiv · 1805.00230

Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms

Surjeet Kaushik·Narasimha Kumar
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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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Surjeet Kaushik, Narasimha Kumar. 2018-05-01. Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms. https://doi.org/10.1007/s00013-018-1275-9

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