Non-vanishing of fundamental Fourier coefficients of paramodular forms
From MaRDI portal
Publication:2406375
DOI10.1016/j.jnt.2017.07.002zbMath1406.11046arXiv1607.03007OpenAlexW2471785670MaRDI QIDQ2406375
Publication date: 27 September 2017
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.03007
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The theory of Jacobi forms
- Siegel modular forms of degree two attached to Hilbert modular forms
- Pullbacks of Eisenstein series from \(\text{GU}(3,3)\) and critical \(L\)-values for \(\text{GSp}(4) \times \text{GL}(2)\)
- Integral representation for \(L\)-functions for \(\text{GSp}_4\times \text{GL}_2\)
- Jacobi forms and a certain space of modular forms
- Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients
- Local newforms for \(\text{GSp}(4)\)
- Determination of holomorphic modular forms by primitive Fourier coefficients
- Restriction of coherent Hilbert Eisenstein series
- Elliptic curves over real quadratic fields are modular
- Über die Fourierschen Koeffizienten von Eisensteinschen Reihen der Stufe T
- COMPUTATIONS OF SPACES OF PARAMODULAR FORMS OF GENERAL LEVEL
- Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions
- Theta lifts of Bianchi modular forms and applications to paramodularity
- L-Functions for Holomorphic Forms on GSp(4) x GL(2) and Their Special Values
- On L-functions for GSp(4) X GL(2) and their special values.
- An Atkin-Lehner type theorem on Siegel modular forms and primitive Fourier coefficients
- Paramodular cusp forms
- Paramodular abelian varieties of odd conductor
- ON MODULAR FORMS FOR THE PARAMODULAR GROUPS
- Determination of modular forms by fundamental Fourier coefficients
