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Conjecture on theta-blocks of order 1
Russian Mathematical Surveys. 2017. Vol. 72. No. 5. P. 968–970.
Valery Gritsenko, Wang H.
In this paper we prove the indicated conjecture in the last case of known infinite series of theta-blocks of weight 2.
Keywords: Jacobi theta-seriesSiegel modular formsJacobi formsформы Якобиtheta-blocksAffine Lie algebra
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Springer Publishing Company, 2020.
This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) ...
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