Modular Functions and Modular Forms
by J. S. Milne
2009
Number of pages: 129
Description:
This is an introduction to the arithmetic theory of modular functions and modular forms, with a greater emphasis on the geometry than most accounts. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.
Download or read it online for free here:
Download link
(960KB, PDF)
Similar books
Algebraic Groups and Discontinuous Subgroupsby Armand Borel, George D. Mostow - American Mathematical Society
The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.
(10521 views)
Algebraic geometry and projective differential geometryby Joseph M. Landsberg - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.
(11463 views)
Geometry Unboundby Kiran S. Kedlaya
This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.
(11068 views)
Lectures on Expansion Techniques In Algebraic Geometryby S.S. Abhyankar - Tata Institute Of Fundamental Research
From the table of contents: Meromorphic Curves; G-Adic Expansion and Approximate Roots; Characteristic Sequences of a Meromorphic Curve; The Fundamental Theorem and applications; Irreducibility, Newton's Polygon; The Jacobian Problem.
(5628 views)