Twelfth moment of Dirichlet L-functions to prime power moduli

• Djordje Milićević ^[1] ; Daniel White ^[1]
  1. [1] Bryn Mawr College, USA
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 22, Nº 4, 2021, págs. 1879-1898
• Idioma: inglés
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• Resumen

  • We prove the q-aspect analogue of Heath-Brown’s result on the twelfth power moment of the Riemann zeta function for Dirichlet L-functions to odd prime power moduli. Our results rely on the p-adic method of stationary phase for sums of products and complement Nunes’ bound for smooth squarefree moduli.