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Full-Text Articles in Physical Sciences and Mathematics
Zeros Of Poincare Series Of Level 2, Andrew Haddock, Paul Jenkins
Zeros Of Poincare Series Of Level 2, Andrew Haddock, Paul Jenkins
Journal of Undergraduate Research
Introduction Poincaré series are a certain type of modular form. Modular forms are complex-valued functions that satisfy certain symmetry properties. There are many different types of modular forms, and one way to classify modular forms is by their level, such as 1, 2, 3, etc. They are of much interest as a research subject because they are connected in surprising ways to many different fields in number theory—e.g., elliptic curves, quadratic forms, and partition functions, to name just a few. As we gain more insight into the various properties of modular forms, we gain more insight into how these various …