Results 31 to 40 of about 95,973 (316)
Holomorphic subgraph reduction of higher-point modular graph forms
Journal of High Energy Physics, 2019 Modular graph forms are a class of modular covariant functions which appear in the genus-one contribution to the low-energy expansion of closed string scattering amplitudes.
Jan E. Gerken, Justin Kaidi
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Introduction to Modular Forms [PDF]
, 2015 We introduce the notion of modular forms, focusing primarily on the group PSL2Z. We further introduce quasi-modular forms, as wel as discuss their relation to physics and their applications in a variety of enumerative problems. These notes are based on a lecture given at the Field's institute during the thematic program on Calabi-Yau Varieties ...
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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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On quasi-modular forms, almost holomorphic modular forms, and the vector-valued modular forms of Shimura [PDF]
The Ramanujan Journal, 2014 17 pages, minor ...
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Multiplying Modular Forms [PDF]
, 2008 The space of elliptic modular forms of fixed weight and level can be identfied with a space of intertwining operators, from a holomorphic discrete series representation of SL2(R) to a space of automorphic forms. Moreover, multiplying elliptic modular forms corresponds to a branching problem involving tensor products of holomorphic discrete series ...
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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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Journal of Number Theory, 2003 AbstractThe theory of “generalized modular forms,” initiated here, grows naturally out of questions inherent in rational conformal field theory. The latter physical theory studies q-series arising as trace functions (or partition functions), which generate a finite-dimensional SL(2,Z)-module.
Geoffrey Mason, Marvin I. Knopp
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Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
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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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, 2016 We survey the progress (or lack thereof!) that has been made on some questions about the p-adic slopes of modular forms that were raised by the first author in [Buz05], discuss strategies for making further progress, and examine other related questions.
Toby Gee, Kevin Buzzard
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