The odd moments of ranks and cranks

• المؤلفون الرئيسيون: Chan, Song Heng, Kim, Byungchan, Andrews, George E.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/98565; http://hdl.handle.net/10220/17801

In this paper, we modify the standard definition of moments of ranks and cranks such that odd moments no longer trivially vanish. Denoting the new k-th rank (resp. crank) moments by (resp. ), we prove the following inequality between the first rank and crank moments.