Introduction to modular forms
[1809.10907] An Introduction to Modular Forms - arXiv
Abstract page for arXiv paper 1809.10907: An Introduction to Modular Forms.
Introduction to Modular Forms | SpringerLink
This book gives a thorough introduction to several theories that are fundamental to research on modular forms.
Eisenstein series and their Fourier expansion. • Cusp forms and Ramanujan's Delta-function. • The space of modular and its dimension. • ...
A Brief Introduction to Modular Form: B. Ramakrishnan
A modular form is said to be a cusp form if further a(0) = 0 in (iii) above. Notation. The set of all modular forms (resp. cusp forms) of weight k for the group ...
nt.number theory - Brief Introduction to Modular Forms - MathOverflow
A First Course in Modular Forms, by Diamond and Shurman (D-S), is many people's favourite; not sure if it is too advanced. Also, Serre's course ...
Page 1. $. Chapter 4. Introduction to Modular Forms by Don Zagier. Table of Contents. Part 1. A supply of modular forms. A. Eisenstein series. B. The ...
Modular forms: Introduction - YouTube
This lecture is part of an online graduate course on modular forms. We introduce modular forms, and give several examples of how they were ...
modular forms lecture 1: introduction and motivating examples
Before diving into the general theory of modular forms, let's first ask a basic question: what is a modular form? There are many possible answers to this ...
Introduction. A modular form is a holomorphic function on the upper half-plane h = {x + iy : x ∈ R,y > 0} = {τ ∈ C : Imτ > 0}.
Introduction to Modular Forms - IITB Math
Typically, modular forms (automorphic forms) are a certain class of functions on spaces of the form SL2(Z)\SL2(R). (General automorphic forms ...
Introduction to Modular Forms · by Serge Lang · What it is about. Classical modular forms, modular symbols, and congruences. · Electronic Version. Here is an ...
INTRODUCTION TO MODULAR FORMS Introduction Example 1
A modular form is a certain kind of holomorphic function on the upper half plane H = {τ|Imτ > 0}, which we view simultaneusly as a complex manifold and as a ...
Introduction to Modular Forms - Part 1 of 8 - YouTube
Introduction to Modular Forms,” by Keith Conrad. Topics include Eisenstein series and q-expansions, applications to sums of squares and ...
Introductive Book on Modular Forms - Mathematics Stack Exchange
The book---"A first course in modular forms" by F. Diamond, J. Shurman is a good book to start to study classical modular forms.
A (non)introduction to modular forms
It is entirely understandable why so many courses begin this way: the definition below of a modular form requires almost no prerequisites (only the notion of a ...
Modular Forms - World Scientific Publishing
This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, ...
Modular Forms: A Classical Approach - AMS Bookstore
This book gives a beautiful introduction to the theory of modular forms, with a delicate balance of analytic and arithmetic perspectives. Cohen and Strömberg ...
Is there a "Modular forms for dummies"? : r/math - Reddit
Modular forms themselves are not extended to the whole complex plane. It is their L-functions that extend to the whole complex plane, after ...
Introduction to Modular Forms | SpringerLink
The word 'modular' refers to the moduli space of complex curves (= Riemann surfaces) of genus 1. Such a curve can be represented as ℂ/Λ where Λ ⊂ ℂ is a ...
Modular forms also appear in other areas, such as algebraic topology, sphere packing, and string theory. Modular form theory is a special case of the more ...