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(20100514)Integer partitions play important roles in diverse areas of mathematics such as qseries, the theory of modular forms, representation theory, symmetric functions and mathematical physics. Among these, we study the arithmetic ...
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(20100519)We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously found congruences for the partition function like p(5n+4) = 0 mod 5. For a wide class of modular forms, we classify the ...
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(20110825)In the ﬁrst part of this thesis we generalize a theorem of Kiming and Olsson concerning the existence of Ramanujantype congruences for a class of eta quotients. Speciﬁcally, we consider a class of generating functions ...
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Now showing items 13 of 3