Congruences for the reciprocals of the Ramanujan–Gordon identities

Bernard Lishuang Lin; Andrew Yezhou Wang

doi:10.4064/cm7189-1-2018

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Congruences for the reciprocals of the Ramanujan–Gordon identities

Volume 154 / 2018

Bernard Lishuang Lin, Andrew Yezhou Wang Colloquium Mathematicum 154 (2018), 137-148 MSC: Primary 11P83; Secondary 05A17. DOI: 10.4064/cm7189-1-2018 Published online: 10 August 2018

Abstract

We introduce two special partition functions according to two identities obtained by Ramanujan and Gordon. Using elementary generating function manipulations, we establish several Ramanujan type congruences.

Authors

Bernard Lishuang LinSchool of Science
Jimei University
361021 Xiamen, P.R. China
e-mail
Andrew Yezhou WangSchool of Mathematical Sciences
University of Electronic Science
and Technology of China
611731 Chengdu, P.R. China
e-mail

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Publishing house / Journals and Serials / Colloquium Mathematicum / All issues

Colloquium Mathematicum

Congruences for the reciprocals of the Ramanujan–Gordon identities

Volume 154 / 2018

Abstract

Authors

Search for IMPAN publications

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