DOI: 10.1142/s179304212450012x ISSN: 1793-0421

GL(2) Weyl bound via a multiplicative character delta method

Wing Hong Leung
  • Algebra and Number Theory

We use a trivial delta method with multiplicative characters for congruence detection to prove the Weyl bound for GL(2) in the [Formula: see text]-aspect for a holomorphic or Hecke–Maass cusp form of arbitrary level and nebentypus. This parallels the work of Aggarwal [2] in 2018, with the difference being the multiplicative character has a more natural connection to the twisted [Formula: see text]-function. This provides another viewpoint to understand and explore the trivial and other delta methods.

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