On exponential sums involving Fourier coefficients of cusp forms

Publication year: 2012 Source: Journal of Number Theory, Volume 132, Issue 1, January 2012, Pages 171-181 Kui Liu, Xiumin Ren Letbe the normalized Fourier coefficient of a holomorphic cusp form of weightkor a Maass cusp form with Laplacian eigenvaluefor. We consider exponential sum of the formand obtain the upper boundwhich is uniformly in.

Publication year: 2012 Source: Journal of Number Theory, Volume 132, Issue 1, January 2012, Pages 171-181 Kui Liu, Xiumin Ren Letbe the normalized Fourier coefficient of a holomorphic cusp form of weightkor a Maass cusp form with Laplacian eigenvaluefor. We consider exponential sum of the formand obtain the upper boundwhich is uniformly in.

Original post:
On exponential sums involving Fourier coefficients of cusp forms

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