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Subconvexity for twisted GL$_3$ $L$-functions

Volume 202 / 2022

Eren Mehmet Kıral, Chan Ieong Kuan, Didier Lesesvre Acta Arithmetica 202 (2022), 281-302 MSC: Primary 11F66. DOI: 10.4064/aa210602-30-11 Published online: 9 March 2022

Abstract

Using the circle method, we obtain subconvex bounds for $\mathrm {GL}_3$ $L$-functions twisted by a character $\chi $ modulo a prime $p$, hybrid in the $t$- and $p$-aspects.

Authors

  • Eren Mehmet KıralRIKEN Advanced Intelligence Project (AIP), Mathematical Science Team
    Special Postdoctoral Researchers Program
    Nihonbashi 1-chome Mitsui Building, 15th floor
    1-4-1 Nihonbashi, Chuo-ku, Tokyo, 103-0027, Japan
    e-mail
  • Chan Ieong KuanSchool of Mathematics (Zhuhai)
    Zhuhai Campus, Sun Yat-Sen University
    Tangjiawan, Zhuhai, Guangdong, 519082, China (PRC)
    e-mail
  • Didier LesesvreUniversity of Lille
    CNRS, UMR 8524 – Laboratoire Paul Painlevé
    59000 Lille, France
    e-mail

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