A Relation between Fourier Coefficients of Holomorphic Cusp Forms and Exponential Sums
نویسنده
چکیده
We consider certain specific exponential sums related to holomorphic cusp forms, give a reformulation for the Lehmer conjecture and prove that certain exponential sums of Fourier coefficients of holomorphic cusp forms contain information on other similar non-overlapping exponential sums. Also, we prove an Omega result for short sums of Fourier coefficients.
منابع مشابه
On Sums of Fourier Coefficients of Cusp Forms
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تاریخ انتشار 2009