Results 111 to 120 of about 52,325 (233)
Cancellation of divergences up to three loops in exceptional field theory
Journal of High Energy Physics, 2018 We consider the tetrahedral three-loop diagram in E d exceptional field theory evaluated as a scalar diagram for four external gravitons. At lowest order in momenta, this diagram contributes to the ∇6 R 4 term in the low-energy effective action for M ...
Guillaume Bossard, Axel Kleinschmidt
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Applications of Kronecker’s limit formula for elliptic Eisenstein series [PDF]
, 2017 Jay Jorgenson +2 more
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Orthogonal Eisenstein series at harmonic points and modular forms of singular weight [PDF]
, 2022 Paul Kiefer
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Journal of Number Theory, 1995 Since the results are very technical it is difficult to state them here explicitly and so we quote from the author's introduction: ``In this paper we present a new method of obtaining an analytic continuation and explicit functional equation for an Eisenstein series attached to any standard maximal parabolic subgroup of \(GL_ n\). One main idea of this
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Fourier coefficients of Eisenstein series of one complex variable for the special linear group [PDF]
, 1975 Audrey Terras
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A note on zeros of Eisenstein series for genus zero Fuchsian groups [PDF]
, 2008 Junichi Shigezumi
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On Hermitian Eisenstein series
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994 Let \(\Gamma_ n(K)\) denote the Hermitian modular group of degree \(n\) in the sense of \textit{H. Braun} [Ann. Math., II. Ser. 50, 827-855 (1949; Zbl 0038.238)] associated with an imaginary quadratic number field \(K\) of class number 1. The author considers the Eisenstein series \[ E_ k^{(n)} (Z,s) : =\sum_{{AB \choose CD} : {** \choose 0 ...
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Eisenstein series associated with Γ0(2)
The Ramanujan Journal, 2008 Comment: This is an old paper uploaded for archival ...
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A Tapestry of Ideas with Ramanujan’s Formula Woven In
AxiomsZeta-functions play a fundamental role in many fields where there is a norm or a means to measure distance. They are usually given in the forms of Dirichlet series (additive), and they sometimes possess the Euler product (multiplicative) when the domain ...
Nianliang Wang +2 more
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Spectral decomposition of pseudo-cuspforms, and meromorphic continuation of Eisenstein series, on $\mathbb{Q}$-rank one arithmetic quotients [PDF]
, 2019 Iver Walkoe
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