Results 31 to 40 of about 592,821 (170)
Meromorphic modular forms and the three-loop equal-mass banana integral
Journal of High Energy Physics, 2022 We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel +2 more
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A characterization of convex φ-functions [PDF]
Opuscula Mathematica, 2012 The properties of four elements \((LPFE)\) and \((UPFE)\), introduced by Isac and Persson, have been recently examined in Hilbert spaces, \(L^p\)-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form \(\rho_{\Phi}(
Bartosz Micherda
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On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We solve a problem by V. I. Arnold dealing with "how random" modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form
Eda Cesaratto +2 more
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Наука. Инновации. Технологии, 2022 The article describes the basic principles of interval-index technology of synthesis transformation algorithms minimally redundant modular code in the position code. The proposed algorithms are based on the direct implementation of interval- modular form
A. A. Kolyada +2 more
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Compactification of Drinfeld modular varieties and Drinfeld Modular Forms of Arbitrary Rank
, 2012 We give an abstract characterization of the Satake compactification of a general Drinfeld modular variety. We prove that it exists and is unique up to unique isomorphism, though we do not give an explicit stratification by Drinfeld modular varieties of ...
Pink, Richard
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Modular properties of 6d (DELL) systems
Journal of High Energy Physics, 2017 If super-Yang-Mills theory possesses the exact conformal invariance, there is an additional modular invariance under the change of the complex bare charge .
G. Aminov, A. Mironov, A. Morozov
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Hecke operators on Hilbert-Siegel modular forms
, 2007 We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo ...
Caulk, Suzanne, Walling, Lynne H.
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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
Forum of Mathematics, Sigma, 2020 We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
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Two applications of the curve lemma for orthogonal groups
, 2003 We show (under some hypothesis in small dimensions) that the analytic degree of the divisor of a modular form on the orthogonal group O(2,p) is determined by its weight. Moreover, we prove that certain integrals, occurring in Arakelov intersection theory,
Bruinier, Jan H.
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Modular Robotic Design and Reconfiguring Path Planning
Applied Sciences, 2022 The modular robot is becoming a prevalent research object in robots because of its unique configuration advantages and performance characteristics. It is possible to form robot configurations with different functions by reconfiguring functional modules ...
Ye Dai +5 more
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