1. On exponential sums for coefficients of general L-functions.
- Author
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Hou, Fei
- Subjects
- *
EXPONENTIAL sums , *L-functions , *NONLINEAR functions , *FUNCTIONAL equations - Abstract
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 G L m (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]. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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