Quadratic AGM and p-adic Limits Arising from Modular Forms

Content Provider	Semantic Scholar
Author	Boylan, Matthew R. Garthwaite, Sharon Anne
Copyright Year	2009
Abstract	In recent work [9], Guerzhoy, Kent, and Ono proved a result in the theory of harmonic weak Maass forms on the p-adic coupling of mock modular forms and their shadows. As an application, they construct a sequence of weakly holomorphic modular forms whose p-adic limit gives the modular parametrization of the cubic arithmetic-geometric mean (AGM). In this paper, we construct odd weight weakly holomorphic forms with non-trivial character to prove an analogous p-adic limit formula for the modular parametrization of Gauss' quadratic AGM.
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Alternate Webpage(s)	http://people.math.sc.edu/boylan/reprints/quadratic.agm.pdf
Alternate Webpage(s)	http://www.math.sc.edu/~boylan/reprints/quadratic.agm.pdf
Language	English
Access Restriction	Open
Subject Keyword	Belief revision Cubic function Gauss IGFBP7 wt Allele Manufactured form Mock object
Content Type	Text
Resource Type	Article