Advances in the Theory of Numbers: Proceedings of the by Ayşe Alaca,Şaban Alaca,Kenneth S. Williams

By Ayşe Alaca,Şaban Alaca,Kenneth S. Williams

The conception of numbers keeps to occupy a primary position in glossy arithmetic as a result of either its lengthy heritage over many centuries in addition to its many diversified functions to different fields comparable to discrete arithmetic, cryptography, and coding concept. The evidence by means of Andrew Wiles (with Richard Taylor) of Fermat’s final theorem released in 1995 illustrates the excessive point of trouble of difficulties encountered in number-theoretic examine in addition to the usefulness of the recent principles coming up from its proof.

The 13th convention of the Canadian quantity idea organization used to be held at Carleton college, Ottawa, Ontario, Canada from June sixteen to twenty, 2014. Ninety-nine talks have been awarded on the convention at the topic of advances within the thought of numbers. subject matters of the talks mirrored the range of present tendencies and actions in smooth quantity thought. those themes incorporated modular types, hypergeometric capabilities, elliptic curves, distribution of leading numbers, diophantine equations, L-functions, Diophantine approximation, and plenty of extra. This quantity includes the various papers provided on the convention. All papers have been refereed. The top of the range of the articles and their contribution to present examine instructions make this quantity a needs to for any arithmetic library and is very correct to researchers and graduate scholars with an curiosity in quantity idea. The editors desire that this quantity will function either a source and an proposal to destiny generations of researchers within the thought of numbers.

Show description

Read or Download Advances in the Theory of Numbers: Proceedings of the Thirteenth Conference of the Canadian Number Theory Association (Fields Institute Communications) PDF

Best number theory books

Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science)

Lattices are geometric gadgets that may be pictorially defined because the set of intersection issues of an unlimited, ordinary n-dimensional grid. De­ spite their obvious simplicity, lattices disguise a wealthy combinatorial struc­ ture, which has attracted the eye of significant mathematicians during the last centuries.

Rudiments of Calculus (Studies in Logic and the Foundations of Mathematics)

This e-book offers what in our opinion constitutes the root of the speculation of the mu-calculus, regarded as an algebraic process instead of a good judgment. we've wanted to give the topic in a unified method, and in a sort as common as attainable. for that reason, our emphasis is at the generality of the fixed-point notation, and at the connections among mu-calculus, video games, and automata, which we additionally clarify in an algebraic means.

The Local Langlands Conjecture for GL(2): 335 (Grundlehren der mathematischen Wissenschaften)

The neighborhood Langlands Conjecture for GL(2) contributes an unparalleled textual content to the so-called Langlands idea. it really is an bold examine software of already forty years and provides an entire and self-contained evidence of the Langlands conjecture within the case n=2. it truly is aimed toward graduate scholars and at researchers in similar fields.

Von Zahlen und Größen: Dritthalbtausend Jahre Theorie und Praxis - Band 1 (German Edition)

Das zweibändige Werk behandelt die Mathematik und ihre Geschichte. Die sorgfältige examine dessen, used to be die Alten bewiesen, führt zu einem besseren Verständnis und größerer Motivation im Umgang mit heutiger Mathematik. Die Themen des 1. Bandes reichen von der Konstruktion der reellen Zahlen mittels dedekindscher Schnitte bis hin zum Fundamentalsatz der Algebra.

Additional resources for Advances in the Theory of Numbers: Proceedings of the Thirteenth Conference of the Canadian Number Theory Association (Fields Institute Communications)

Example text

Download PDF sample

Rated 4.19 of 5 – based on 26 votes