• Corpus ID: 239016568

Motohashi's Formula for the Fourth Moment of Individual Dirichlet $L$-Functions and Applications

@inproceedings{Kaneko2021MotohashisFF,
  title={Motohashi's Formula for the Fourth Moment of Individual Dirichlet \$L\$-Functions and Applications},
  author={Ikuya Kaneko},
  year={2021}
}
  • I. Kaneko
  • Published 18 October 2021
  • Mathematics
A new reciprocity formula for Dirichlet !-functions associated to an arbitrary primitive Dirichlet character of prime modulus @ is established. We find an identity relating the fourth moment of individual Dirichlet !-functions in the C-aspect to the cubic moment of central !-values of Hecke–Maaß newforms of level at most @ and primitive central character k averaged over all primitive nonquadratic characters kmodulo @. Our formulæ would be viewed as reverse versions of recent work of Petrow… 
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