The skew-Maass lift I
Artikel i vetenskaplig tidskrift, 2019

The classical Maass lift is a map from holomorphic Jacobi forms to holomorphic scalar-valued Siegel modular forms. Automorphic representation theory predicts a non-holomorphic and vector-valued analogue for Hecke eigenforms. This paper is the first part of a series of papers. In this series of papers, we provide an explicit construction of the non-holomorphic Maass lift that is linear and also applies to non-eigenforms. In this first part, we develop new techniques to study Fourier series expansions of Siegel modular forms, which allow us to construct a Maass lift from harmonic Maass–Jacobi forms to scalar-valued Maass–Siegel forms.

Kohnen limit process

Saito–Kurokawa lift

Maass lift of harmonic Maass–Jacobi forms

Maass–Siegel forms

Real-analytic Siegel modular forms

Författare

Martin Raum

Chalmers, Matematiska vetenskaper, Algebra och geometri

Olav K. Richter

Reserach in Mathematical Sciences

2522-0144 (ISSN)

Vol. 6 22

Siegel modulära genererande funktioner

Vetenskapsrådet (VR), 2016-01-01 -- 2019-12-31.

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1007/s40687-019-0184-2

Mer information

Skapat

2020-01-01