On exponential sums for coefficients of general L-functions,International Journal of Number Theory

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On exponential sums for coefficients of general L-functions
International Journal of Number Theory ( IF 0.5 ) Pub Date : 2021-03-08 , DOI: 10.1142/s1793042121500664
Fei Hou ₁

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We investigate the order of exponential sums involving the coefficients of general L-functions satisfying a suitable functional equation and give some new estimates, including refining certain results in preceding works [X. Ren and Y. Ye, Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GLm(ℤ), Sci. China Math. 58(10) (2015) 2105–2124; Y. Jiang and G. Lü, Oscillations of Fourier coefficients of Hecke–Maass forms and nonlinear exponential functions at primes, Funct. Approx. Comment. Math. 57 (2017) 185–204].

更新日期：2021-03-08

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