Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities, and Combinatorial Number Theory
Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities, and Combinatorial Number Theory.
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 ...
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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.
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Add this copy of Theta Constants, Reimann Surfaces and the Modular Group to cart. $97.00, very good condition, Sold by Moe's Books rated 4.0 out of 5 stars, ships from Berkeley, CA, UNITED STATES, published 2001 by American Mathematical Society.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of Theta Constants, Riemann Surfaces and the Modular Group to cart. $173.68, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2001 by American Mathematical Society.
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New. There are incredibly rich connections between classical analysis and number theory. This title uncovers interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. It is suitable for a graduate course or for independent reading. Series: Graduate Studies in Mathematics. Num Pages: 552 pages, bibliography, index. BIC Classification: PBH; PBK; PBMP. Category: (P) Professional & Vocational. Dimension: 264 x 191 x 34. Weight in Grams: 1172. 2001. Hardcover.....We ship daily from our Bookshop.
