On double shifted convolution sum of SL(2,Z) Hecke eigenforms
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DOI: 10.1016/j.jnt.2018.03.008
Abstract: Abstract Let λ i ( n ) , i = 1 , 2 , 3 , denote the normalized Fourier coefficients of a holomorphic eigenform or Maass cusp form. In this paper we shall consider… read more here.
Keywords: convolution sum; double shifted; shifted convolution; sum hecke ... See more keywords
On a shifted convolution sum problem
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DOI: 10.1016/j.jnt.2020.12.011
Abstract: Abstract Let f be a holomorphic newform of prime level p and trivial nebentypus. For p 1 + e ≪ M ≪ p 3 − e , and 0 | u | ≪ M /… read more here.
Keywords: shifted convolution; sum problem; convolution sum;
Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform
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DOI: 10.1142/s1793042121500524
Abstract: We obtain certain estimates for averages of shifted convolution sums involving the Fourier coefficients of a normalized Hecke–Maass eigenform and holomorphic cusp form. read more here.
Keywords: sums involving; fourier coefficients; involving fourier; hecke maass ... See more keywords