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Washington State University

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

Neill Hall 5W

March 19, Monday, 4:10 - 5:00 PM

Matthew Jobrack

Department of Mathematics and Statistics

Washington State University

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

Neill Hall 5W

March 19, Monday, 4:10 - 5:00 PM

Matthew Jobrack

Department of Mathematics and Statistics

Washington State University

Title: An Introduction to Modular Forms

Abstract: Modular forms are special functions defined on the complex upper half-plane. Along with their generalizations, they have important applications in physics as well as several branches of pure mathematics, including algebraic geometry and modern number theory. This talk will provide a basic introduction to these functions and their properties, including an arithmetic application involving sums of squares.

Abstract: Modular forms are special functions defined on the complex upper half-plane. Along with their generalizations, they have important applications in physics as well as several branches of pure mathematics, including algebraic geometry and modern number theory. This talk will provide a basic introduction to these functions and their properties, including an arithmetic application involving sums of squares.