Results 51 to 60 of about 52,441 (236)
Integrating three-loop modular graph functions and transcendentality of string amplitudes
Journal of High Energy Physics, 2022 Modular graph functions (MGFs) are SL(2, ℤ)-invariant functions on the Poincaré upper half-plane associated with Feynman graphs of a conformal scalar field on a torus.
Eric D’Hoker, Nicholas Geiser
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A fresh approach to classical Eisenstein series and the newer Hilbert–Eisenstein series [PDF]
International Journal of Number Theory, 2017 This paper is concerned with new results for the circular Eisenstein series [Formula: see text] as well as with a novel approach to Hilbert–Eisenstein series [Formula: see text], introduced by Michael Hauss in 1995. The latter turns out to be the product of the hyperbolic sinh function with an explicit closed form linear combination of digamma ...
Butzer, Paul L., Pogány, Tibor K.
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Goldilocks: American Precious Metals and the Rise of the West
Review of Income and Wealth, Volume 72, Issue 1, February 2026.ABSTRACT We estimate the contribution of the American precious metal windfall to Western Europe's growth performance in the early modern period. The exogenous nature of American precious metal extraction allows for the identification of monetary effects.
Yao Chen, Nuno Palma, Felix Ward
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SciPost Physics, 2022 We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of $\cN=4$ supersymmetric Yang--Mills (SYM) theory with classical gauge group, $G_N$ $= SO(2N)$, $SO(2N+1)$, $USp(2N)$.
Daniele Dorigoni, Michael B. Green, Congkao Wen
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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
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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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On a formula of spin sums, Eisenstein-Kronecker series in higher genus Riemann surfaces
Nuclear Physics B, 2023 We discuss a decomposition formula of simple products of fermion correlation functions with cyclic constrains and its applications to spin sums of super string amplitudes.Based on some facts which are noted or derived in this paper, we propose a ...
A.G. Tsuchiya
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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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Integral forms of Kac-Moody groups and Eisenstein series in low dimensional supergravity theories [PDF]
, 2015 Kac-Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms $G(\mathbb{Z})$ are conjecturally U-duality groups. Mathematical descriptions of $G(\mathbb{Z})$,
Bao, Ling, Carbone, Lisa
core
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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