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

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

2009-07-16

arxiv.org/abs/0907.2767v2

Mathematics

Number Theory

18 pages

Scientific paper

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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