Congruences via modular forms

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Title: Congruences via modular forms
Authors: Osburn, Robert
Sahu, Brundaban
Permanent link: http://hdl.handle.net/10197/7827
Date: 2011
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
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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