The functional equation for the twisted spinor L-series of genus 2
Number Theory
2011-08-25 v2
Abstract
We prove the functional equation for the twisted spinor L-series of a cuspidal, holomorphic Siegel eigenform for the full modular group of genus 2. It follows from a more general functional equation, valid for Rankin convolutions of paramodular cuspforms. A non-vanishing result for Fourier-Jacabi coefficients of the eigenforms in question is the central pillar of the deduction of the former from the latter functional equation.
Keywords
Cite
@article{arxiv.0907.2767,
title = {The functional equation for the twisted spinor L-series of genus 2},
author = {Aloys Krieg and Martin Raum},
journal= {arXiv preprint arXiv:0907.2767},
year = {2011}
}
Comments
18 pages