Media Summary: This lecture is part of an online graduate course on Talk by Paul Kiefer (University of Antwerp), at the Antwerp Algebra, Geometry and Number Theory Seminar on May 23, 2025. How the discoveries of Ramanujan in 1916, combined with the insights of Eichler and Shimura in the 50's, led to the proof of ...

Modular Forms And Theta Functions - Detailed Analysis & Overview

This lecture is part of an online graduate course on Talk by Paul Kiefer (University of Antwerp), at the Antwerp Algebra, Geometry and Number Theory Seminar on May 23, 2025. How the discoveries of Ramanujan in 1916, combined with the insights of Eichler and Shimura in the 50's, led to the proof of ... ... more because you can show that the ratio of a certain The Wolfram Demonstrations Project contains thousands of free ... This lecture was part of the Thematic Programme on "Amplitudes and Algebraic Geometry" held at the ESI February 19 - March 27 ...

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Modular forms: Introduction
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Mock Theta Functions
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Modular forms: Theta functions

Modular forms: Theta functions

This lecture is part of an online graduate course on

Counting points on the E8 lattice with modular forms (theta functions) | #SoME2

Counting points on the E8 lattice with modular forms (theta functions) | #SoME2

In this video, I show a use of

Elliptic Curves and Modular Forms | The Proof of Fermat’s Last Theorem

Elliptic Curves and Modular Forms | The Proof of Fermat’s Last Theorem

Elliptic curves,

The Jacobi Theta Function and Relationships to the Riemann Zeta Function

The Jacobi Theta Function and Relationships to the Riemann Zeta Function

We introduce the Jacobi

Don Zagier - Modular Forms and Differential Equations

Don Zagier - Modular Forms and Differential Equations

The theory of automorphic

Modular forms: Theta functions in higher dimensions

Modular forms: Theta functions in higher dimensions

This lecture is part of an online graduate course on

Modular forms: Introduction

Modular forms: Introduction

This lecture is part of an online graduate course on

Modular Forms and Theta Functions - Paul Kiefer

Modular Forms and Theta Functions - Paul Kiefer

Talk by Paul Kiefer (University of Antwerp), at the Antwerp Algebra, Geometry and Number Theory Seminar on May 23, 2025.

Modular forms: Modular functions

Modular forms: Modular functions

This lecture is part of an online graduate course on

The bridge between number theory and complex analysis

The bridge between number theory and complex analysis

How the discoveries of Ramanujan in 1916, combined with the insights of Eichler and Shimura in the 50's, led to the proof of ...

Generalized Mathieu Moonshine and Siegel Modular Forms by Daniel Persson

Generalized Mathieu Moonshine and Siegel Modular Forms by Daniel Persson

... more because you can show that the ratio of a certain

Mock Theta Functions

Mock Theta Functions

http://demonstrations.wolfram.com/MockThetaFunctions The Wolfram Demonstrations Project contains thousands of free ...

Samuel Grushevsky - Theta Functions and Moduli Spaces, I

Samuel Grushevsky - Theta Functions and Moduli Spaces, I

This lecture was part of the Thematic Programme on "Amplitudes and Algebraic Geometry" held at the ESI February 19 - March 27 ...