**An Introduction to Modular Forms**

by Henri Cohen

**Publisher**: arXiv.org 2018**Number of pages**: 58

**Description**:

Contents: Functional Equations; Elliptic Functions; Modular Forms and Functions; Hecke Operators: Ramanujan's discoveries; Euler Products, Functional Equations; Modular Forms on Subgroups of Gamma; More General Modular Forms; Some Pari/GP Commands.

Download or read it online for free here:

**Download link**

(430KB, PDF)

## Similar books

**Analytic Number Theory: A Tribute to Gauss and Dirichlet**

by

**William Duke, Yuri Tschinkel**-

**American Mathematical Society**

The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet.

(

**7951**views)

**Lectures on a Method in the Theory of Exponential Sums**

by

**M. Jutila**-

**Tata Institute of Fundamental Research**

The author presents a selfcontained introduction to summation and transformation formulae for exponential sums involving either the divisor function d(n) or the Fourier coefficients of a cusp form; these two cases are in fact closely analogous.

(

**5006**views)

**Lectures on The Riemann Zeta-Function**

by

**K. Chandrasekharan**-

**Tata Institute of Fundamental Research**

These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.

(

**7989**views)

**Lectures on Sieve Methods and Prime Number Theory**

by

**Y. Motohashi**-

**Tata Institute of Fundamental Research**

The aim of these lectures is to introduce the readers to the most fascinating aspects of the fruitful unifications of sieve methods and analytical means which made possible such deep developments in prime number theory ...

(

**5354**views)