The Petersson norm of the Jacobi theta function
David Hansen
TL;DR
This paper calculates the Petersson norm of the Jacobi theta function using a straightforward application of the Rankin-Selberg method and a clever trick, providing a new explicit formula.
Contribution
It introduces a simple approach to compute the Petersson norm of the Jacobi theta function, enhancing understanding of its analytic properties.
Findings
Explicit formula for the Petersson norm of the Jacobi theta function
Simplified method using Rankin-Selberg and a clever trick
Potential applications in automorphic forms and number theory
Abstract
We compute the Petersson norm of the Jacobi theta function, by a simple application of the Rankin-Selberg method and a little trick.
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Taxonomy
TopicsMolecular spectroscopy and chirality · Quantum Mechanics and Non-Hermitian Physics · Advanced Topics in Algebra