A Modular Equation of Degree 61

Abstract: A modular equation of degree $n$ is an equation that relates classical theta functions with arguments $q$ and $q^n$. The theory of modular equations started with the works of Landen, Jacobi and Legendre. The theory gained popularity again with enormous contributions made by Ramanujan. In this talk we will give a brief introduction to the theory of modular equations and then obtain a new modular equation of degree $61$ by using a generalization of a theta function identity due to David M. Bressoud. This is a joint work with Ahmet Güloğlu.

algebraic geometrynumber theory

Audience: researchers in the topic

Comments: Join Zoom Meeting: us06web.zoom.us/j/87212146791?pwd=d0pmbVZJanpDV0NERWNLbklEV2NqUT09

Meeting ID: 872 1214 6791 Passcode: 362880

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FGC-HRI-IPM Number Theory Webinars

Series comments: password is 848084

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