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Theta Functions And Knots

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Rzvan Gelca and Alejandro;

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Theta functions, elliptic functions and

connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's;

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Ramanujan's Theta Functions

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan's results and extends them;

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Abelian Varieties, Theta Functions And The Fourier Transform

The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty;

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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This;

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Elements of the Representation Theory of the Jacobi Group

group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. This;

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Essential Knots

A practical and stylish illustrated guide, Essential Knots shows how to tie each knot, step-by-step, with expert guidance on which knot to;

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Scrapbook of Complex Curve Theory

conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear;

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Thematic Structure in Syntax

roles implied by verbs of a given type play out in terms of position and other syntactic functions. The study of theta roles and the locality;

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Knack Knots You Need

With a full range of stoppers, bends, loops, and hitches, and extensive cross references for multi-use knots, The Knack Book of Knots You;

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A Window into Zeta and Modular Physics

condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black;

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Window Into Zeta And Modular Physics

condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black;

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Harmonic Maass Forms and Mock Modular Forms

Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10-15 years, this theory has been extended;

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Geoff Wilson's Complete Book of Fishing Knots and Rigs, Revised Edition

Geoff Wilson has a passion for knots and their correct tying. This passion inspired the original release of Geoff Wilson's Complete Book;

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Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa

of modular forms and zeta functions are covered: Theta series and the basis problems, Jacobi forms, automorphic forms on Sp(1, q), double zeta;

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Polynomial One-cocycles for Knots and Closed Braids

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known;

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Geometric Properties & Problems of Thick Knots

of knot theory in fields such as biology and polymer chemistry. In this book, the authors first give a brief review of the basic concepts and;

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Ramanujan's Lost Notebook

Beethoven's tenth symphony. This fifth and final installment of the authors' examination of Ramanujan's lost notebook focuses on the mock theta;

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Analysis IV

methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the;

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Srinivasa Ramanujan

numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new;

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Srinivasa Ramanujan

numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new;

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Knots

, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with;

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Abelian Functions

, and in particular theta functions. Many of the ideas put forward are of continuing relevance today, and some of the most exciting ideas from;

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Elliptic Functions

. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary;

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Knots and Splices

This is a bestselling pocket-sized book on rope and wire work, splices, knots and rope work. Fully illustrated.;

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Virtual Knots

The book is the first systematic research completely devoted to a comprehensive study of virtual knots and classical knots as its integral;

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Modular Forms

examples such as elliptic functions and theta functions, the modular group, its subgroups, and general aspects of holomorphic and nonholomorphic;

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