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Addendum and corrigendum to the paper “Nonlinear twists and moments of $L$-functions” (Acta Arith. 214 (2024), 153–171)

Tom 221 / 2025

Jerzy Kaczorowski, Alberto Perelli Acta Arithmetica 221 (2025), 293-296 MSC: Primary 11M41; Secondary 11M26 DOI: 10.4064/aa251103-5-11 Opublikowany online: 8 November 2025

Streszczenie

We correct and refine a conjecture from [Acta Arith. 214 (2024), 153–171] on the analytic behaviour of the self-dual twist associated with the functions $F(s)$ in the extended Selberg class. The corrected version relates the order of the poles to those of the Rankin–Selberg convolution $F \times \overline {F}(s)$ and to the structural invariants $d_F(\ell )$.

Published in Open Access (under CC-BY license).

Autorzy

  • Jerzy KaczorowskiFaculty of Mathematics and Computer Science
    Adam Mickiewicz University
    61-614 Poznań, Poland
    e-mail
  • Alberto PerelliDipartimento di Matematica
    Università di Genova
    16146 Genova, Italy
    e-mail

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