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April 18, 2026International Journal of Mathematics

Moments of Fourier coefficients of ℓ-fold product L -function

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Authors

MPManish Kumar PandeyLVLalit Vaishya

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Overview

Analysis establishes moment behavior of Fourier coefficients in modular forms, indicating underlying patterns.

Key Points

  • The research aims to explore the average behavior of Fourier coefficients related to L-functions and their powers.
  • Analyzed normalized Hecke eigenforms of integral weight for the full modular group.
  • Established asymptotics of power moments associated with sequences of L-function products.
  • Investigated the behavior of sign changes in the Fourier coefficients of these sequences.
  • Proven asymptotic behavior of power moments associated with Fourier coefficients.
  • Results indicate significant sign change patterns in the coefficients of the L-function products.

Cite This Study

Pandey et al. (2026) studied this question.

synapsesocial.com/papers/69e3207940886becb653f930https://doi.org/10.1142/s0129167x26500461
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