Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
Neill Hall 5W
October 15, Monday, 4:10 - 5:00 PM
Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
Neill Hall 5W
October 15, Monday, 4:10 - 5:00 PM
Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Title: Special Relations Between Normalised Eisenstein Series
Abstract: We give an introduction to modular forms, cusp forms, and in particular (normalised) Eisenstein series $E_k$. We then go on to demonstrate that the well-known relations $E_4^2 = E_8$, $E_4 E_6 = E_{10}$, and $E_6 E_8 = E_4 E_{10} = E_{14}$ are the only relations of the form $E_k = E_l E_{k - l}$.
Abstract: We give an introduction to modular forms, cusp forms, and in particular (normalised) Eisenstein series $E_k$. We then go on to demonstrate that the well-known relations $E_4^2 = E_8$, $E_4 E_6 = E_{10}$, and $E_6 E_8 = E_4 E_{10} = E_{14}$ are the only relations of the form $E_k = E_l E_{k - l}$.