Modular forms: Eisenstein series

This lecture is part of an online graduate course on modular forms. We give two ways of looking at modular forms: as functions of lattices in C, or as invariant forms. We use this to give two different ways of constructing Eisenstein series. For the other lectures in the course see    • Modular forms  

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Modular forms: Fourier coefficients of Eisenstein series
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Modular forms: Fourier coefficients of Eisenstein series

Modular forms: Introduction
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Modular forms: Introduction

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

Mock Modular Forms are Everywhere - Miranda Cheng
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Mock Modular Forms are Everywhere - Miranda Cheng

Modular forms: Classification
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Modular forms: Classification

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

Reinventing Entropy | Compression is Intelligence Part 1
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Reinventing Entropy | Compression is Intelligence Part 1

Modular forms: Modular functions
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Modular forms: Modular functions

Introduction to Modular Forms - Part 1 of 8
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Introduction to Modular Forms - Part 1 of 8

Elliptic functions 1. Weierstrass function.
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Elliptic functions 1. Weierstrass function.

We're 99.9% sure this pattern is true, but no one can prove it
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We're 99.9% sure this pattern is true, but no one can prove it

Teenager Disproves 4 Decades Old Belief in Computing
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Teenager Disproves 4 Decades Old Belief in Computing

The bridge between number theory and complex analysis
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The bridge between number theory and complex analysis

Modular forms: Theta functions in higher dimensions
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Modular forms: Theta functions in higher dimensions

Modular forms: Theta functions
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Modular forms: Theta functions

Introduction to Twistor Theory Part 1
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Introduction to Twistor Theory Part 1

Elliptic curves and modular forms
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Elliptic curves and modular forms

Yann LeCun's $1B Bet Against LLMs [Part 1]
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Yann LeCun's $1B Bet Against LLMs [Part 1]

Dirac's Quantum Mechanics
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Dirac's Quantum Mechanics