Work

Kohnen--Ueda local newforms

Year: 2026

Type: preprint

Abstract: We give a local newform theory for the metaplectic group of rank 1 over a non-archimedean local field of characteristic 0 with odd residual characteristic. It was suggested by some results of Kohnen and Ueda on the classical theory of modular forms of half-integral weight.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.22442

Author: Ishimoto, Hiroshi

Institution: Osaka Metropolitan University

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Modular forms of half-integral weight and representations of metaplectic groups

OpenAlex ID: W7204173316

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