Vaughan, R. C.
Overview
Works:  10 works in 42 publications in 3 languages and 786 library holdings 

Roles:  Author, Other 
Classifications:  QA241, 512.73 
Publication Timeline
.
Most widely held works by
R. C Vaughan
The HardyLittlewood method by
R. C Vaughan(
Book
)
29 editions published between 1981 and 2003 in English and Russian and held by 740 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
29 editions published between 1981 and 2003 in English and Russian and held by 740 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
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
)
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
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
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
Applications of the Hardy Littlewood method(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 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)
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
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
On the estimation of trigonometrical sums over primes, and related questions by
R. C Vaughan(
Book
)
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
Audience Level
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