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Partition-Theoretic Interpretations of Certain Modular Equations of Schröter,Russell, and Ramanujan
Authors:Bruce C Berndt
Institution:(1) Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA
Abstract:We show that certain modular equations studied by Schr?oter, Russell, and Ramanujan yield elegant identities for colored partitions. Received May 3, 2006 Bruce C. Berndt: Research partially supported by grant MDA904-00-1-0015 from the National Security Agency.
Keywords:partitions  colored partitions  theta-functions  modular equations
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