Vector-valued modular forms with an unnatural boundary

2011/01/25 by Marvin Knopp, Knopp, Marvin, Geoffrey Mason +1
Mathematics · #11F12 #11F99 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F12 #msc:11F99

paper · pdf · doi:10.48550/arxiv.1101.4906

11 pages

arxiv created 2011/01/25 · arxiv updated 2011/01/26

Abstract

We characterize all logarithmic, holomorphic vector-valued modular forms which can be analytically continued to a region strictly larger than the upper half-plane.

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