Elliptic Functions
Elliptic Functions Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of…
Specifikacia Elliptic Functions
Elliptic Functions
Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. In the first, Lang presents the general analytic theory starting from scratch. The book is divided into four parts.
The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Most of this can be read by a student with a basic knowledge of complex analysis. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points.
The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.
Elliptic Functions
Arithmetic of Elliptic Curves
Arithmetic of Elliptic Curves
Injective Choice Functions
Practical Azure Functions
Language and its Functions