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Fourier coefficients of cusp forms on special sequences - MaRDI portal

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Fourier coefficients of cusp forms on special sequences (Q6540618)

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scientific article; zbMATH DE number 7850238
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English
Fourier coefficients of cusp forms on special sequences
scientific article; zbMATH DE number 7850238

    Statements

    Fourier coefficients of cusp forms on special sequences (English)
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    17 May 2024
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    Let \(f\) be a primitive holomorphic cusp forms with even integral weight \(l \geq 2\) for the full modular group \(\Gamma\) and consider its symmetric-lift at integers with a fixed number of distinct prime divisors. Then in the paper under review, the author gives asymptotic formulae for squares of their Fourier coefficients in short intervals. The proofs are based on analytic number theory computations.
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    Fourier coefficient
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    cusp forms
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    symmetric power \(L\)-functions
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    short intervals
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