Planes in Z4$\mathbb {Z}^4$ and Eisenstein series

DOI10.1112/jlms.12810arXiv2110.13997OpenAlexW4386380236MaRDI QIDQ6139806

Unnamed Author, Gautam Chinta

Publication date: 19 December 2023

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

Full work available at URL: https://arxiv.org/abs/2110.13997

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Cites Work

• Weyl group multiple Dirichlet series, Eisenstein series and crystal bases
• The Fourier coefficients of a metaplectic Eisenstein distribution on the double cover of SL(3) over \(\mathbb{Q} \)
• Weyl group multiple Dirichlet series constructed from quadratic characters
• Fourier coefficients of modular forms of half-integral weight
• Hyperbolic distribution problems and half-integral weight Maass forms
• Composition of oriented binary quadratic form-classes over commutative rings
• Mean values of biquadratic zeta functions
• Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
• On the number of primitive representations of integers as sums of squares
• Unitary periods, Hermitian forms and points on flag varieties
• Weyl group multiple Dirichlet series. III: Eisenstein series and twisted unstable \(A_r\)
• Planes in four-space and four associated CM points
• Orthogonal Period of a GL 3(ℤ) Eisenstein Series
• Constructing Weyl group multiple Dirichlet series
• Basic Algebraic Geometry 1
• Linnik's ergodic method and the distribution of integer points on spheres
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