Lifting of vector-valued automorphic forms

A recent study by the first author [2] demonstrated that admissible vector-valued automorphic forms have admissible lifts. In this article, we study the specific case of logarithmic vector-valued automorphic forms, exploring their lifts and providing explicit computations of their Fourier coefficients.

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Publication Details

Journal
Journal de Théorie des Nombres de Bordeaux
Published
2025-03-31
DOI
https://doi.org/10.5802/jtnb.1298
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
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article

Lifting of vector-valued automorphic forms

Subham Bhakta, Jitendra Bajpai
Journal de Théorie des Nombres de Bordeaux
Advanced Algebra and Geometry
article

Lifting of vector-valued automorphic forms

Subham Bhakta, Jitendra Bajpai
article en

Abstract

A recent study by the first author [2] demonstrated that admissible vector-valued automorphic forms have admissible lifts. In this article, we study the specific case of logarithmic vector-valued automorphic forms, exploring their lifts and providing explicit computations of their Fourier coefficients.

Journal de Théorie des Nombres de BordeauxVol. 36(3)
Openalex Percentile: Top 89%
Advanced Algebra and Geometry
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Lifting of vector-valued automorphic forms — Subham Bhakta, Jitendra Bajpai · Journal de Théorie des Nombres de Bordeaux (2025) | TGRS Research Map | TGRS