ON EXPONENTIAL SUMS INVOLVING COEFFICIENTS OFL-FUNCTIONS FOR SL(3, ℤ) OVER PRIMES

DOI10.1093/qmath/haw006zbMath1410.11039OpenAlexW2314110697MaRDI QIDQ2814323

Yujiao Jiang, Guangshi Lü, Fei Hou

Publication date: 21 June 2016

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/haw006

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Trigonometric and exponential sums (general theory) (11L03)

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On automorphic analogues of the Möbius randomness principle ⋮ Exponential sums formed with the von Mangoldt function and Fourier coefficients of \(\mathrm{GL}(m)\) automorphic forms ⋮ The exponential sums related to cusp forms in the level aspect ⋮ On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms ⋮ Strong orthogonality between the Möbius function, additive characters and the coefficients of the \(L\)-functions of degree three ⋮ Weight aspect exponential sums for Fourier coefficients of cusp forms ⋮ Sums of Fourier coefficients of holomorphic cusp forms over integers without large prime factors

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