Results 61 to 70 of about 52,325 (233)
Operational Convection‐Permitting COSMO/ICON Ensemble Predictions at Observation Sites (CIENS)
Geoscience Data Journal, Volume 13, Issue 1, January 2026.Map of synoptic stations in Germany for which ensemble forecasts and observations are provided in the CIENS dataset. Colours represent the station altitude in metres. ABSTRACT We present the CIENS dataset, which contains ensemble weather forecasts from the operational convection‐permitting numerical weather prediction model of the German Weather ...
Sebastian Lerch +6 more
wiley +1 more source
An Integral Representation of Standard Automorphic L Functions for Unitary Groups
International Journal of Mathematics and Mathematical Sciences, 2007 Let F be a number field, G a quasi-split unitary group of rank n. We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp ...
Yujun Qin
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Kac--Moody groups and automorphic forms in low dimensional supergravity theories
, 2016 Kac--Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravity theories dimensionally reduced to dimensions less than 3, and their integral forms $G(\mathbb{Z})$ conjecturally encode quantized symmetries.
Bao, Ling, Carbone, Lisa
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Analytic continuation of Eisenstein series [PDF]
Transactions of the American Mathematical Society, 1972 The classical Eisenstein series are essentially of the form Σ m , n ′ ( ( m + r 1 ) z + n +
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Basis decompositions of genus-one string integrals
Journal of High Energy PhysicsOne-loop scattering amplitudes in string theories involve configuration-space integrals over genus-one surfaces with coefficients of Kronecker-Eisenstein series in the integrand.
Carlos Rodriguez +2 more
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Some Eisenstein Series Identities
Journal of Number Theory, 2000 In this paper, the author derives new proofs of Eisenstein series identities associated with the Borweins functions \(a(q)\), \(b(q)\) and \(c(q)\), defined by \[ \begin{aligned} a(q) &= \sum_{m,n=-\infty}^\infty q^{m^2+mn+n^2},\\ b(q) &= \sum_{m,n=-\infty}^\infty e^{2(m-n)\pi i/3}q^{m^2+mn+n^2},\\ \text{and} c(q) &=\sum_{m,n=-\infty}^\infty q^{(m+1/3)^
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Generating series of all modular graph forms from iterated Eisenstein integrals
Journal of High Energy Physics, 2020 We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential equation of the generating series we construct a solution for their low ...
Jan E. Gerken +2 more
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Kyushu Journal of Mathematics, 2004 Let \(E_k\) be the normalized Eisenstein series of weight \(k\) with respect to the modular group \(\Gamma= \text{SL}_2(\mathbb{Z})\). It was shown by \textit{F. K. C. Rankin} and \textit{H. P. F. Swinnerton-Dyer} [Bull. Lond. Math. Soc. 2, 169--170 (1970; Zbl 0203.35504)] that all the zeros of \(E_k\) in the standard fundamental domain \({\mathcal F}\)
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MODULI INTERPRETATION OF EISENSTEIN SERIES [PDF]
International Journal of Number Theory, 2012 Let ℓ ≥ 3. Using the moduli interpretation, we define certain elliptic modular forms of level Γ(ℓ) over any field k where 6ℓ is invertible and k contains the ℓth roots of unity. These forms generate a graded algebra [Formula: see text], which, over C, is generated by the Eisenstein series of weight 1 on Γ(ℓ).
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Public Administration, Volume 103, Issue 4, Page 979-991, December 2025.ABSTRACT Representative bureaucracy theory posits that the presence of less‐advantaged social groups in public leadership positions is an important driver of social equity among the recipients of public services and the public servants who provide them.
Rhys Andrews
wiley +1 more source