Harmonic Maaß–Jacobi forms of degree 1 with higher rank indices-Reference-Cited by-同舟云学术

Harmonic Maaß–Jacobi forms of degree 1 with higher rank indices

Published:2016-09-06 Issue:07 Volume:12 Page:1871-1897
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Conley Charles H.¹^ORCID,Westerholt-Raum Martin²

Affiliation:

1. Department of Mathematics, University of North Texas, Denton, TX 76209, USA

2. Division of Mathematics, Chalmers University of Technology and University of Göteborg, SE-412 96 Göteborg, Sweden

Abstract

We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi group, which for rank exceeding 1 is of order 4. In ranks exceeding 1, the notions of H-harmonicity and semi-holomorphicity are the same.

Funder

Simons Foundation (US)

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042116501165

Reference23 articles.

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