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(Bilkent University, 2010)In this thesis, we construct holomorphic modular forms of integral weight k > 2 for the principle congruence subgroup Γ( ¯ N) by means of Poincar´e series. We start by providing the necessary background information on ...
(Bilkent University, 2014)Hash functions are one of the most important cryptographic primitives. They map an input of arbitrary finite length to a value of fixed length by compressing the input, that is why, they are called hash. They must run ...
(Bilkent University, 2009)In this thesis, we study Ramanujan’s congruences for the partition function and some of their combinatorial interpretations. Our main tools are from the theory of theta function.
(Bilkent University, 2014)In this thesis, we survey some properties of the spt-function. We start with providing some background information for q-series and the partition function p(n). Then we define the spt-function and study its generating ...