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作者:Calegari, Frank; Dimitrov, Vesselin; Tang, Yunqing
作者单位:University of Chicago; California Institute of Technology; University of California System; University of California Berkeley
摘要:We prove the unbounded denominators conjecture in the theory of noncongruence modular forms for finite index subgroups of SL2(Z). Our result includes also Masons generalization of the original conjecture to the setting of vector-valued modular forms, thereby supplying a new path to the congruence property in rational conformal field theory. The proof involves a new arithmetic holonomicity bound of a potential-theoretic flavor, together with Nevanlinna second main theorem, the congruence subgro...
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作者:Campos, Marcelo; Jenssen, Matthew; Michelen, Marcus; Sahasrabudhe, Julian
作者单位:University of Cambridge; University of London; King's College London; University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital
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作者:Wang, Zhenqi Jenny
作者单位:Michigan State University
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作者:Marti-Pete, David; Rempe, Lasse; Waterman, James
作者单位:University of Liverpool; University of Manchester; University of Toronto
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作者:Blasiak, J.; Haiman, M.; Morse, J.; Pun, A.; Seelinger, G. H.
作者单位:Drexel University; University of California System; University of California Berkeley; University of Virginia; City University of New York (CUNY) System; Baruch College (CUNY); University of Michigan System; University of Michigan
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作者:Annala, Toni; Hoyois, Marc; Iwasa, Ryomei
作者单位:Institute for Advanced Study - USA; University of Regensburg; Universite Paris Saclay
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作者:Xie, Junyi
作者单位:Peking University; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite de Rennes
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作者:Wenger, Stefan; Young, Robert
作者单位:University of Fribourg; New York University
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作者:Xu, Chenyang; Zhuang, Ziquan
作者单位:Princeton University; Johns Hopkins University
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作者:Lutz, Patrick; Siskind, Benjamin
作者单位:University of California System; University of California Berkeley; Technische Universitat Wien