Browsing Student Research Papers (Mathematics) by Subject "Modular Forms"

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The Collision of Quadratic Fields, Binary Quadratic Forms, and Modular Forms

Smith, Karen (2011-05-17)
The j-Function and the Monster

Scherer, Asa (2010-08-16)

The first published notion that the j-function was in any way related to the Monster came in 1979, when Conway and Norton noted in [CN79] that each coefficient in the q- expansion of the j-function could be written as a ...
The Partition Function and Ramanujan Congruences

Bucher, Eric (2010-04-27)

The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their see ...