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<p>We study the average of shifted convolution sums involving the Fourier coefficients of the symmetric power lifts of Hecke eigenforms. Moreover, we obtain a similar result for the Hecke–Maass eigenforms under certain suitable conditions.</p>

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Shifted convolution sums of divisor functions associated with the symmetric power lifts of GL(2)-forms

  • 期刊论文

  • 发表日期：

    2025年9月15日

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  • Kalyan Chakraborty,
  • Naveen K. Godara,
  • Lalit Vaishya

摘要

We study the average of shifted convolution sums involving the Fourier coefficients of the symmetric power lifts of Hecke eigenforms. Moreover, we obtain a similar result for the Hecke–Maass eigenforms under certain suitable conditions.