Mock modular forms as $p$-adic modular forms
Copyright policy )NSF| Arithmetic properties of automorphic forms-Bounds on Fourier coefficients and the interplay between hypergeometric series and automorphic forms
Bringmann, Kathrin; Guerzhoy, Pavel; KANE, BEN;
Mock modular forms as $p$-adic modular forms
In this paper, we consider the question of correcting mock modular forms in order to obtain $p$-adic modular forms. In certain cases we show that a mock modular form $M^+$ is a $p$-adic modular form. Furthermore, we prove that otherwise the unique correction of $M^+$ is intimately related to the shadow of $M^+$.
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- National Oceanic and Atmospheric Administration United States
- University of Cologne Germany
- University of Minnesota Crookston United States
- University of Minnesota System United States
- University of Hawaiʻi Sea Grant United States
ddc:510, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 510, 11F33, 11F37, 11F11
ddc:510, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 510, 11F33, 11F37, 11F11
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 8
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