Browse by Subject "Modular forms"

  • Kim, Byung Chan (2010-05-14)
    Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory of modular forms, representation theory, symmetric functions and mathematical physics. Among these, we study the arithmetic ...

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  • Dewar, Michael P. (2010-05-19)
    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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  • Sinick, Jonah D. (2011-08-25)
    In the first part of this thesis we generalize a theorem of Kiming and Olsson concerning the existence of Ramanujan-type congruences for a class of eta quotients. Specifically, we consider a class of generating functions ...

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