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This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting...
Editeur :
Springer
Parution :
2021-06-18
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Die elementare Zahlentheorie befasst sich mit den Eigenschaften der natürlichen Zahlen und benötigt als Grundlage hierfür nur die Arithmetik. Sie ist ein unverzichtbarer Bestandteil des Bachelorstudiums Mathematik.Die Leser*innen erhalten mit...
Editeur :
Springer Spektrum
Parution :
2021-04-17
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This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Bihar—including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the...
Editeur :
Springer
Parution :
2021-01-05
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Dieses Buch stellt anhand des Nachlasses von Richard Dedekind eine Rekonstruktion des überarbeiteten XI. Supplements zur geplanten 5. Auflage von P. G. Lejeune Dirichlets Vorlesungen über Zahlentheorie mit einem Kommentar von Peter Ullrich zur...
Editeur :
Springer Spektrum
Parution :
2020-10-20
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Up-to-date resource on Hadamard matrices Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including: Gauss sums,...
Editeur :
Wiley
Parution :
2020-08-27
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Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks,...
Editeur :
OUP Oxford
Parution :
2020-05-28
ePub
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Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks,...
Editeur :
OUP Oxford
Parution :
2020-05-28
PDF
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Claudia Alfes-Neumann behandelt in diesem essential Anwendungen der Theorie der Modulformen und ihre Bedeutung als grundlegende Werkzeuge in der Mathematik. Diese – zunächst rein analytisch definierten – Funktionen treten in sehr vielen Bereichen der Mathematik auf:...
Editeur :
Springer Spektrum
Parution :
2020-05-18
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This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem,...
Editeur :
Springer
Parution :
2020-05-02
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This monograph outlines the structure of index form equations, and makes clear their relationship to other classical types of Diophantine equations. In order to more efficiently determine generators of power integral bases, several algorithms and methods are presented...
Editeur :
Birkhäuser
Parution :
2019-09-03
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These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating...
Editeur :
Springer
Parution :
2019-08-01
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The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will...
Editeur :
Springer
Parution :
2019-01-18
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This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory:
The theory of...
Editeur :
Springer
Parution :
2018-09-18
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Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers...
Editeur :
Springer
Parution :
2018-06-01
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Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic...
Editeur :
Springer
Parution :
2018-02-01
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This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study—inspired by Ramanujan—of aspects of this broad topic. While the level of mathematical sophistication is graduated, the...
Editeur :
Springer
Parution :
2017-08-08
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Die beiden Bücher „Was sind und was sollen die Zahlen?“ (1888) und „Stetigkeit und Irrationale Zahlen“ (1872) sind Dedekinds Beiträge zu den Grundlagen der Mathematik; er legte darin die Grundsteine der Mengenlehre und der Theorie der reellen und natürlichen...
Editeur :
Springer Spektrum
Parution :
2017-05-17
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Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms,...
Editeur :
Springer
Parution :
2017-01-15
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Simeon Schlicht zeigt durch empirische Untersuchungen, dass Kinder den Mengen- und den Zahlbegriff gleichzeitig und in Abhängigkeit voneinander erwerben. In seiner Untersuchung mit Kindern im Alter von 3 bis 4 Jahren verwendet der Autor sog. Spielsituationen, die er...
Editeur :
Springer Spektrum
Parution :
2016-08-31
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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...
Editeur :
Springer
Parution :
2015-10-28
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