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Advances in the theory of numbers[electronic resource] :proceedings of the Thirteenth Conference of the Canadian Number Theory Association /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.7
書名/作者:	Advances in the theory of numbers : proceedings of the Thirteenth Conference of the Canadian Number Theory Association // edited by Ayse Alaca, Saban Alaca, Kenneth S. Williams.
其他作者:	Alaca, Ayse.
團體作者:	Canadian Number Theory Association.
出版者:	New York, NY : : Springer New York :, 2015.
面頁冊數:	xx, 235 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Number theory
標題:	Mathematics.
標題:	Number Theory.
ISBN:	9781493932016
ISBN:	9781493932009
內容註:	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)
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-3201-6

Advances in the theory of numbers[electronic resource] :proceedings of the Thirteenth Conference of the Canadian Number Theory Association /
Canadian Number Theory Association.ConferenceCarleton University)2014 :

Advances in the theory of numbersproceedings of the Thirteenth Conference of the Canadian Number Theory Association /[electronic resource] :edited by Ayse Alaca, Saban Alaca, Kenneth S. Williams. - New York, NY :Springer New York :2015. - xx, 235 p. :ill., digital ;24 cm. - Fields institute communications,v.771069-5265 ;. - Fields institute communications ;v.72..

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)

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.

ISBN: 9781493932016

Standard No.: 10.1007/978-1-4939-3201-6doiSubjects--Topical Terms:

165814
Number theory

LC Class. No.: QA241 / .C275 2014

Dewey Class. No.: 512.7

Advances in the theory of numbers[electronic resource] :proceedings of the Thirteenth Conference of the Canadian Number Theory Association /
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