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Bibframe Work

Title
Advances in the theory of numbers
Type
Text
Monograph
Contribution
Canadian Number Theory Association. Conference (13th : 2014 : Carleton University) (Author)
Alaca, Ayse, 1961- (Editor)
Alaca, Şaban, 1964- (Editor)
Williams, Kenneth S. (Editor)
Subject
Number theory--Congresses (LCSH)
Number theory (FAST)
Genre Form
Conference papers and proceedings (LCGFT)
Conference papers and proceedings (LCGFT)
Language
English
Illustrative Content
Illustrations
Classification
LCC: QA241 .C275 2014 (Assigner: dlc) (Status: used by assigner)
DDC: 512/.7 full (Source: 21)
Supplementary Content
bibliography
Content
text
Summary
The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat?s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof. The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers.-- Source other than Library of Congress.
Table Of Contents
Preface
List of lectures
List of participants
Identities for Logarithmic Means (B.C. Berndt, S. Kim)
Universal Thickening of the Field of Real Numbers (A. Connes, C. Consani)
Moments of Zeta and Correlations of Divisor-sums (B. Conrey, J.P. Keating)
A Note on the Theorem of Maynard and Tao (T. Freiberg)
A Prime Analogue of Roth's Theorem in Function Fields (Y.R. Liu, C.V. Spencer)
The Distribution of Self-Fibonacci Divisors (F. Luca, E. Tron). Some Remarks on Automorphy and the Sato-Tate Conjecture (M.R. Murty, V.K. Murty)
Division Polynomials with Galois Group SU3(3).2 = G2(2) (D.P. Roberts)
A variant of Weyl?s Inequality for Systems of Forms and Applications (D. Schindler)
The Breuil-Schneider Conjecture, a Survey (C.M. Sorensen).
Authorized Access Point
Canadian Number Theory Association. Conference (13th : 2014 : Carleton University) Advances in the theory of numbers
Admin Metadata
Generation Process: DLC marc2bibframe2 v2.5.0
Status: changed
Encoding Level: minimal
Identified By: bf:Local, 18783130
Change Date: 2016-07-07T17:40:05
Creation Date: 2015-09-15
Description Language: English
Description Modifier: United States, Library of Congress
Description Authentication: LC Copy Cataloging
Assigner: YDXCP