Vaughan, R. C.
Overview
Works:  12 works in 78 publications in 3 languages and 1,153 library holdings 

Genres:  Textbooks 
Roles:  Author, Other 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works by
R. C Vaughan
The HardyLittlewood method by
R. C Vaughan(
Book
)
31 editions published between 1981 and 2003 in English and Russian and held by 753 WorldCat member libraries worldwide
The HardyLittlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on representations of integers by sums of powers. This introduction to the method deals with its classical forms and outlines some of the more recent developments. Now in its second edition, it has been fully updated; extensive revisions have been made and a new chapter added to take account of major advances by Vaughan and Wooley. The reader is expected to be familiar with elementary number theory and postgraduate students should find it of great use as an advanced textbook. It will also be indispensable to all lecturers and research workers interested in number theory and it is the standard reference on the HardyLittlewood method
31 editions published between 1981 and 2003 in English and Russian and held by 753 WorldCat member libraries worldwide
The HardyLittlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on representations of integers by sums of powers. This introduction to the method deals with its classical forms and outlines some of the more recent developments. Now in its second edition, it has been fully updated; extensive revisions have been made and a new chapter added to take account of major advances by Vaughan and Wooley. The reader is expected to be familiar with elementary number theory and postgraduate students should find it of great use as an advanced textbook. It will also be indispensable to all lecturers and research workers interested in number theory and it is the standard reference on the HardyLittlewood method
Multiplicative number theory by
Harold Davenport(
Book
)
31 editions published between 2005 and 2012 in English and held by 312 WorldCat member libraries worldwide
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises
31 editions published between 2005 and 2012 in English and held by 312 WorldCat member libraries worldwide
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises
On the fractional parts of x/n and related sequences by
B Saffari(
Book
)
5 editions published in 1976 in English and French and held by 13 WorldCat member libraries worldwide
5 editions published in 1976 in English and French and held by 13 WorldCat member libraries worldwide
Theory and applications of numbers without large prime factors(
Book
)
2 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
Theory and applications of numbers without large prime factors : a theme(
Book
)
1 edition published in 1993 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 5 WorldCat member libraries worldwide
Applications of the Hardy Littlewood method(
Book
)
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
The distribution of prime numbers by
A. E Ingham(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
Elements of geometry: containing the first six books of Euclid, with a supplement of the quadrature of the circle and the
geometry of solids; to which are added elements of plane and spherical trigonometry by
John Playfair(
Book
)
1 edition published in 1814 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1814 in English and held by 2 WorldCat member libraries worldwide
Higher powers by
R. C Vaughan(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
The Life and Times of Grayson County, TX by
R. C Vaughan(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
THEORY OF NUMBERS(
Book
)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
The collection of papers reports work done under contract on the theory of numbers, particularly to extend sieve methods to reducible polynomials and the distribution of primes in arithmetic progressions to othr sequences. The work in combinatorial mathematics is directed toward combinational designs. Titles of the seven papers are: Mean Values Theorems for a Class of Arithmetic Functions; Sieve Methods  The 'Small' Sieve; Sums of k TH Order Divisor Functions Extended Over the Primes; On the Problem of Erdos, Straus and Schinzel; On the Addition of Sequences of Integers; Thrackles and Deadlock; and, Distances Realized by Sets Covering the Plane. (Author)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
The collection of papers reports work done under contract on the theory of numbers, particularly to extend sieve methods to reducible polynomials and the distribution of primes in arithmetic progressions to othr sequences. The work in combinatorial mathematics is directed toward combinational designs. Titles of the seven papers are: Mean Values Theorems for a Class of Arithmetic Functions; Sieve Methods  The 'Small' Sieve; Sums of k TH Order Divisor Functions Extended Over the Primes; On the Problem of Erdos, Straus and Schinzel; On the Addition of Sequences of Integers; Thrackles and Deadlock; and, Distances Realized by Sets Covering the Plane. (Author)
Tracts in Mathematics, Volume 125 by
R. C Vaughan(
)
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Montgomery, Hugh L. Author
 Cambridge University Press Publisher
 Saffari, B. Author
 Katok, A.
 Bollobas, B.
 Fulton, W.
 Ibn Maṭar, alḤajjāj ibn Yūsuf Translator
 Vaughan, W. W. fl. 1860
 Theon of Alexandria active 364 Editor
 Ingham, A. E. Author
Useful Links
Associated Subjects
Circlesquaring Distribution modulo one Elements (Euclid) Euclid Euclid's Elements Functions, Zeta Geometry Geometry, Plane GeometryStudy and teaching HardyLittlewood method Logarithms Maryland Mathematics Mathematics, Greek Numbers, Prime Number theory Plane trigonometry Proportion Sequences (Mathematics) Trigonometry
Alternative Names
Robert Charles Vaughan britischer Mathematiker
Robert Charles Vaughan Brits wiskundige
Robert Charles Vaughan mathématicien britannique
Vaughan, R. C.
Vaughan, Robert C.
Vaughan, Robert C. 1945
Von, R.
Воган, Боб британский математик
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罗伯特·查尔斯·沃恩
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