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On the First Inhomogeneous Minimum of Indefinite Binary Quadratic Forms and Euclid's Algorithm in Real Quadratic Fields

On the First Inhomogeneous Minimum of Indefinite Binary Quadratic Forms and Euclid's Algorithm in Real Quadratic Fields PDF Author: Veikko Ennola
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

Book Description


On the First Inhomogeneous Minimum of Indefinite Binary Quadratic Forms and Euclid's Algorithm in Real Quadratic Fields

On the First Inhomogeneous Minimum of Indefinite Binary Quadratic Forms and Euclid's Algorithm in Real Quadratic Fields PDF Author: Veikko Ennola
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

Book Description


On the First Inhomogeneous Minimum of Indefinite Binary Quadratic Forms and Euclid's Algorithm in Real Quadratic Fields

On the First Inhomogeneous Minimum of Indefinite Binary Quadratic Forms and Euclid's Algorithm in Real Quadratic Fields PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


Number Theory

Number Theory PDF Author: R.P. Bambah
Publisher: Birkhäuser
ISBN: 303487023X
Category : Mathematics
Languages : en
Pages : 525

Book Description
The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. The editorial board of INS A invited us to prepare a special monograph in Number Theory. In reponse to this assignment, we invited several eminent Number Theorists to contribute expository/research articles for this monograph on Number Theory. Al though some ofthose invited, due to other preoccupations-could not respond positively to our invitation, we did receive fairly encouraging response from many eminent and creative number theorists throughout the world. These articles are presented herewith in a logical order. We are grateful to all those mathematicians who have sent us their articles. We hope that this monograph will have a significant impact on further development in this subject. R. P. Bambah v. C. Dumir R. J. Hans-Gill A Centennial History of the Prime Number Theorem Tom M. Apostol The Prime Number Theorem Among the thousands of discoveries made by mathematicians over the centuries, some stand out as significant landmarks. One of these is the prime number theorem, which describes the asymptotic distribution of prime numbers. It can be stated in various equivalent forms, two of which are: x (I) K(X) '" -I - as x --+ 00, ogx and Pn '" n log n as n --+ 00. (2) In (1), K(X) denotes the number of primes P ::s x for any x > O.

An Introduction to the Geometry of Numbers

An Introduction to the Geometry of Numbers PDF Author: J.W.S. Cassels
Publisher: Springer Science & Business Media
ISBN: 9783540617884
Category : Mathematics
Languages : en
Pages : 364

Book Description
From the reviews: "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The American Mathematical Monthly

The Story of Algebraic Numbers in the First Half of the 20th Century

The Story of Algebraic Numbers in the First Half of the 20th Century PDF Author: Władysław Narkiewicz
Publisher: Springer
ISBN: 3030037541
Category : Mathematics
Languages : en
Pages : 443

Book Description
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 get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.

Number Theory, Noordwijkerhout 1983

Number Theory, Noordwijkerhout 1983 PDF Author: H. Jager
Publisher: Springer
ISBN: 3540389067
Category : Mathematics
Languages : en
Pages : 306

Book Description


Computational Problems, Methods, and Results in Algebraic Number Theory

Computational Problems, Methods, and Results in Algebraic Number Theory PDF Author: H. G. Zimmer
Publisher: Springer
ISBN: 3540374663
Category : Mathematics
Languages : en
Pages : 108

Book Description


Number Theory

Number Theory PDF Author: Ram Prakash Bambah
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

Book Description


Euclidean Rings with Two Infinite Primes

Euclidean Rings with Two Infinite Primes PDF Author: F. J. van der Linden
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 222

Book Description


Lectures on Euclidean Rings, Bielefeld, Summer 1974

Lectures on Euclidean Rings, Bielefeld, Summer 1974 PDF Author: H. W. Lenstra
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 100

Book Description