Results 71 to 80 of about 52,325 (233)
On the Eisenstein cohomology of odd orthogonal groups
, 2011 The paper investigates a significant part of the automorphic, in fact of the so-called Eisenstein cohomology of split odd orthogonal groups over Q. The main result provides a description of residual and regular Eisenstein cohomology classes for maximal ...
Borel +18 more
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Siegel Eisenstein series of degree n and Λ-adic Eisenstein series
Journal of Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eisenstein series on loop groups [PDF]
Transactions of the American Mathematical Society, 2014 Based on Garland’s work, in this paper we construct the Eisenstein series on the adelic loop groups over a number field, induced from either a cusp form or a quasi-character which is assumed to be unramified. We compute the constant terms and prove their absolute and uniform convergence under the affine analog of Godement’s criterion.
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Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley +1 more source
Modular invariance in finite temperature Casimir effect
Journal of High Energy Physics, 2020 The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular ...
Francesco Alessio, Glenn Barnich
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Irreducibility of the zero polynomials of Eisenstein series [PDF]
, 2022 Oscar E. González
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Lacunary recurrences for Eisenstein series
, 2015 Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.Comment: 6 pages, more detailed proofs in v3, accepted for publication in Research in Number ...
Mertens, Michael H., Rolen, Larry
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Cryo‐EM single‐particle analysis expanding towards increasingly native samples
Acta Crystallographica Section D, Volume 81, Issue 11, Page 587-597, November 2025.Cryo‐EM single‐particle analysis has revolutionized structural biology by allowing high‐resolution analysis of large molecular assemblies that are not amenable to crystallography or NMR. Combination of this technology with innovative sample‐preparation protocols further expands the range of potential targets.The explosion of cryo‐electron microscopy ...
Jonas Moecking, Tzviya Zeev-Ben-Mordehai
wiley +1 more source
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan's formula for $ζ(2k+1)$, Weierstrass' elliptic and allied functions [PDF]
, 2022 Masanori Katsurada, Takumi Noda
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Quantum Variance for Eisenstein Series [PDF]
International Mathematics Research Notices, 2019 Abstract In this paper, we prove an asymptotic formula for the quantum variance for Eisenstein series on $\operatorname{PSL}_2(\mathbb{Z})\backslash \mathbb{H}$. The resulting quadratic form is compared with the classical variance and the quantum variance for cusp forms.
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