By Hershel M. Farkas

Previous courses at the generalization of the Thomae formulae to Zn curves have emphasised the theory's implications in mathematical physics and depended seriously on utilized mathematical thoughts. This publication redevelops those past effects demonstrating how they are often derived without delay from the elemental homes of theta capabilities as capabilities on compact Riemann surfaces.


"Generalizations of Thomae's Formula for Zn Curves" contains a number of refocused proofs built in a generalized context that's extra obtainable to researchers in similar mathematical fields corresponding to algebraic geometry, complicated research, and quantity theory.


This publication is meant for mathematicians with an curiosity in complicated research, algebraic geometry or quantity conception in addition to physicists learning conformal box theory.

Show description

Read or Download Generalizations of Thomae's Formula for Zn Curves: 21 (Developments in Mathematics) PDF

Similar Algebraic Geometry books

Essays in Constructive Mathematics

Contents and therapy are clean and extremely assorted from the traditional remedies offers a completely optimistic model of what it capacity to do algebra The exposition is not just transparent, it truly is pleasant, philosophical, and thoughtful even to the main naive or green reader

Ramanujan's Lost Notebook: Part II (Pt. 2)

Within the spring of 1976, George Andrews of Pennsylvania kingdom college visited the library at Trinity university, Cambridge, to check the papers of the past due G. N. Watson. between those papers, Andrews chanced on a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript used to be quickly special "Ramanujan's misplaced computing device.

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Undergraduate Texts in Mathematics)

It is a ebook approximately major numbers, congruences, mystery messages, and elliptic curves for you to learn conceal to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the collage of Washington. The systematic examine of quantity idea was once initiated round 300B.


"It provides a delicate portrait of a superb man or woman. It describes thoroughly and intelligibly on a nontechnical point the area of mathematical principles during which Hilbert created his masterpieces. And it illuminates the historical past of German social background opposed to which the drama of Hilberts lifestyles used to be performed.

Additional resources for Generalizations of Thomae's Formula for Zn Curves: 21 (Developments in Mathematics)

Show sample text content

Rated 4.31 of 5 – based on 38 votes