On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character

DOI10.2969/JMSJ/88988898OpenAlexW4367055086MaRDI QIDQ6199853

Keiichi Gunji

Publication date: 28 February 2024

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/journal-of-the-mathematical-society-of-japan/volume-76/issue-1/On-the-Fourier-coefficients-of-Siegel-Eisenstein-series-of-degree/10.2969/jmsj/88988898.full

zbMATH Keywords

Siegel modular formsSiegel seriesSiegel Eisenstein series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Cites Work

• \(p\)-adic Siegel-Eisenstein series of degree two
• Fourier coefficients of degree two Siegel-Eisenstein series with trivial character at squarefree level
• Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case)
• On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series
• Siegel Eisenstein series of degree \(n\) and \(\lambda\)-adic Eisenstein series
• Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp
• On the Fourier coefficients of Siegel-Eisenstein series of degree 2 for odd level
• A generalization of Gauss sums and its applications to Siegel modular forms and L-functions associated with the vector space of quadratic forms.
• An Explicit Formula for Siegel Series
• An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3

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