Zobrazeno 1 - 10
of 681
pro vyhledávání: '"Griffin, Michael J."'
The classical $\mathrm{AGM}$ produces wonderful interdependent infinite sequences of arithmetic and geometric means with common limit. For finite fields $\mathbb{F}_q,$ with $q\equiv 3\pmod 4,$ we introduce a finite field analogue $\mathrm{AGM}_{\mat
Externí odkaz:
http://arxiv.org/abs/2110.12226
Autor:
Andersen, Nickolas, Durham, Spencer, Griffin, Michael J., Hales, Jonathan, Jenkins, Paul, Keck, Ryan, Ko, Hankun, Molnar, Grant, Moss, Eric, Nielsen, Pace P., Niendorf, Kyle, Tombs, Vandy, Warnick, Merrill, Wu, Dongsheng
Publikováno v:
In Journal of Number Theory May 2022 234:31-47
Autor:
Griffin, Michael J.
Modular and mock modular forms possess many striking $p$-adic properties, as studied by Bringmann, Guerzhoy, Kane, Kent, Ono, and others. Candelori developed a geometric theory of harmonic Maass forms arising from the de Rham cohomology of modular cu
Externí odkaz:
http://arxiv.org/abs/1707.02712
Publikováno v:
In Advances in Mathematics 5 March 2022 397
Publikováno v:
Res Math Sci 3, 36 (2016)
In this paper we prove the existence of an infinite dimensional graded super-module for the finite sporadic Thompson group $Th$ whose McKay-Thompson series are weakly holomorphic modular forms of weight $\frac 12$ satisfying properties conjectured by
Externí odkaz:
http://arxiv.org/abs/1607.03078
Publikováno v:
Research in the Mathematical Sciences (2015) 2:26
The Umbral Moonshine Conjectures assert that there are infinite-dimensional graded modules, for prescribed finite groups, whose McKay-Thompson series are certain distinguished mock modular forms. Gannon has proved this for the special case involving
Externí odkaz:
http://arxiv.org/abs/1503.01472
Autor:
Griffin, Michael J.
This thesis focuses on the ancient reception of the Categories of Aristotle, a work which served continuously, from late antiquity into the early modern period (Frede 1987), as the student’s introduction to philosophy. There had previously been no
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.517148
Publikováno v:
Research in the Mathematical Sciences (2015) 2:11
Monstrous moonshine relates distinguished modular functions to the representation theory of the monster. The celebrated observations that 196884=1+196883 and 21493760=1+196883+21296876, etc., illustrate the case of the modular function j-744, whose c
Externí odkaz:
http://arxiv.org/abs/1411.6571