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SUBCONVEXITY BOUND FOR GL(2) L‐FUNCTIONS: T ‐ASPECT
Author(s) -
Aggarwal Keshav,
Singh Saurabh Kumar
Publication year - 2021
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12062
Subject(s) - mathematics , combinatorics , humanities , pure mathematics , statistics , art
Let f be a holomorphic or Hecke–Maass cusp form for the full modular group SL ( 2 , Z ) . In this paper we use the circle method to prove a Weyl‐type subconvexity for GL ( 2 )L ‐functions. We prove that L 1 2 + i t , f ≪ f , ε1 + | t | 1 / 3 + ε , for any ε > 0 .
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