Theta Constants, Riemann Surfaces and the Modular Group - An Introduction with Applications to Uniformization Theorems, Partition Identities and Combinatorial Number Theory (Hardcover)

There are rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic expressions derived from estimates for analytic functions, such as in the proof of the Prime Number Theorem. In combinatorial number theory, exact formulas for number-theoretic quantities are derived from relations between analytic functions. Elliptic functions, especially theta functions, are an important class of such functions in this context, which had been made clear already in Jacobi's "Fundamenta Nova". Theta functions are also classically connected with Riemann surfaces and with the modular group Gamma, which provide another path for insights into number theory. Hershel Farkas and Irwin Kra uncover combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups Gamma.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Graduate Studies in Mathematics
Release date:	2001
Dimensions:	267 x 190 x 34mm (L x W x T)
Format:	Hardcover
Pages:	552
ISBN-13:	978-0-8218-1392-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	0-8218-1392-7
Barcode:	9780821813928

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!