Title of article
On inequalities and linear relations for 7-core partitions
Author/Authors
Kim، نويسنده , , Byungchan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
8
From page
861
To page
868
Abstract
Recently, Ramanujan’s modular equations have been applied by N.D. Baruah and B.C. Berndt to obtain a linear relation for 5-core partitions and by A. Berkovich and H. Yesilyurt to obtain inequalities for 7-core partitions. In this paper, we generalize their results by using the theory of modular forms. In particular, we prove conjectures of Berkovich and Yesilyurt.
Keywords
7-core partition , Deligne’s bound , modular forms
Journal title
Discrete Mathematics
Serial Year
2010
Journal title
Discrete Mathematics
Record number
1599306
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