Congruences via modular forms
|Title:||Congruences via modular forms||Authors:||Osburn, Robert
|Permanent link:||http://hdl.handle.net/10197/7827||Date:||2011||Online since:||2016-08-23T13:52:44Z||Abstract:||We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica. Additionally, we provide tables of congruences for numbers which appear in similar power series expansions and in the study of integral solutions of Apery-like differential equations.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||American Mathematical Society||Journal:||Proceedings of the American Mathematical Society||Volume:||139||Issue:||7||Start page:||2375||End page:||2381||Copyright (published version):||2010 American Mathematical Society||Keywords:||Coefficients of power series expansions; 1/PI; Congruences; Modular forms; Apery numbers; Series||DOI:||10.1090/S0002-9939-2010-10771-2||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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