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
Number Theory
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.
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
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
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
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.
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
Author: H. Jager
Publisher: Springer
ISBN: 3540389067
Category : Mathematics
Languages : en
Pages : 306
Book Description
Publisher: Springer
ISBN: 3540389067
Category : Mathematics
Languages : en
Pages : 306
Book Description
Computational Problems, Methods, and Results in Algebraic Number Theory
Author: H. G. Zimmer
Publisher: Springer
ISBN: 3540374663
Category : Mathematics
Languages : en
Pages : 108
Book Description
Publisher: Springer
ISBN: 3540374663
Category : Mathematics
Languages : en
Pages : 108
Book Description
Number Theory
Author: Ram Prakash Bambah
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
Euclidean Rings with Two Infinite Primes
Author: F. J. van der Linden
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 222
Book Description
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 222
Book Description
Lectures on Euclidean Rings, Bielefeld, Summer 1974
Author: H. W. Lenstra
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 100
Book Description
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 100
Book Description