The functional equation for the twisted spinor L-series of genus 2

Aloys Krieg; Martin Raum

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arXiv · 0907.2767

The functional equation for the twisted spinor L-series of genus 2

Aloys Krieg·Martin Raum

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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.

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Aloys Krieg, Martin Raum. 2011-08-24. The functional equation for the twisted spinor L-series of genus 2. https://arxiv.org/abs/0907.2767

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