The functional equation for the twisted spinor L-series of genus 2 |
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Authors: | Aloys Krieg Martin Raum |
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Institution: | 1. Lehrstuhl A für Mathematik, RWTH Aachen University, Templergraben 55, 52056, Aachen, Germany 2. Dep. Mathematik, ETH Zürich, R?mistr. 101, 8092, Zürich, Switzerland
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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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