Roth, K. F. (Klaus Friedrich)
Overview
Works:  21 works in 105 publications in 1 language and 1,584 library holdings 

Roles:  Author, Translator 
Classifications:  QA246.5, 512.81 
Publication Timeline
.
Most widely held works by
K. F Roth
Sequences by
H Halberstam(
Book
)
32 editions published between 1900 and 1983 in English and held by 747 WorldCat member libraries worldwide
THIS volume is concerned with a substantial branch of number theory of which no connected account appears to exist; we describe the general nature of the constituent topics in the introduction. Although some excellent surveys dealing with limited aspects of the subject under con sideration have been published, the literature as a whole is far from easy to study. This is due in part to the extent of the literature; it is necessary to thread one's way through a maze of results, a complicated structure of interrelationships, and many conflicting notations. In addition, however, not all the original papers are free from obscurities, and consequently some of these papers are difficult (a few even exceed ingly difficult) to master. We try to give a readable and coherent account of the subject, con taining a crosssection of the more interesting results. We felt that it would have been neither practicable nor desirable to attempt a compre hensive account; we treat each aspect of the subject from some special point of view, and select results accordingly. Needless to say, this approach entails the omission of many interesting and important results (quite apart from defects in the selection due to errors of judgement on our part). Those results selected for inclusion are, however, proved in complete detail and without the assumption of any prior knowledge on the part of the reader
32 editions published between 1900 and 1983 in English and held by 747 WorldCat member libraries worldwide
THIS volume is concerned with a substantial branch of number theory of which no connected account appears to exist; we describe the general nature of the constituent topics in the introduction. Although some excellent surveys dealing with limited aspects of the subject under con sideration have been published, the literature as a whole is far from easy to study. This is due in part to the extent of the literature; it is necessary to thread one's way through a maze of results, a complicated structure of interrelationships, and many conflicting notations. In addition, however, not all the original papers are free from obscurities, and consequently some of these papers are difficult (a few even exceed ingly difficult) to master. We try to give a readable and coherent account of the subject, con taining a crosssection of the more interesting results. We felt that it would have been neither practicable nor desirable to attempt a compre hensive account; we treat each aspect of the subject from some special point of view, and select results accordingly. Needless to say, this approach entails the omission of many interesting and important results (quite apart from defects in the selection due to errors of judgement on our part). Those results selected for inclusion are, however, proved in complete detail and without the assumption of any prior knowledge on the part of the reader
The method of trigonometrical sums in the theory of numbers by
I. M Vinogradov(
Book
)
17 editions published between 1863 and 2004 in English and held by 461 WorldCat member libraries worldwide
This text begins with a discussion of general lemmas and advances to an investigation of Waring's problem, including explorations of singular series, the contribution of the basic intervals, and an estimate for G(n). Further topics include approximation by the fractional parts of the values of a polynomial, estimates for Weyl sums, much more. 1954 edition
17 editions published between 1863 and 2004 in English and held by 461 WorldCat member libraries worldwide
This text begins with a discussion of general lemmas and advances to an investigation of Waring's problem, including explorations of singular series, the contribution of the basic intervals, and an estimate for G(n). Further topics include approximation by the fractional parts of the values of a polynomial, estimates for Weyl sums, much more. 1954 edition
Analytic number theory : essays in honour of Klaus Roth(
Book
)
4 editions published in 2009 in English and held by 140 WorldCat member libraries worldwide
"Klaus Roth's pioneering research in the field of number theory has led to important and substantial breakthroughs in many areas, including diophantine approximation, irregularities of distribution and large sieve theory. His work on the ThueSiegelRoth Theorem earned him a Fields Medal in 1958  the first British mathematician to receive the honour." "Analytic Number Theory: Essays in Honour of Klaus Roth comprises 32 essays from close colleagues and leading experts in those fields in which he has worked, and provides great insight into the historical development of the subject matter and the importance of Roth's contributions to number theory and beyond. His influence is also discussed in relation to more recent mathematical advances."Jacket
4 editions published in 2009 in English and held by 140 WorldCat member libraries worldwide
"Klaus Roth's pioneering research in the field of number theory has led to important and substantial breakthroughs in many areas, including diophantine approximation, irregularities of distribution and large sieve theory. His work on the ThueSiegelRoth Theorem earned him a Fields Medal in 1958  the first British mathematician to receive the honour." "Analytic Number Theory: Essays in Honour of Klaus Roth comprises 32 essays from close colleagues and leading experts in those fields in which he has worked, and provides great insight into the historical development of the subject matter and the importance of Roth's contributions to number theory and beyond. His influence is also discussed in relation to more recent mathematical advances."Jacket
Rational approximations to irrational numbers by
K. F Roth(
Book
)
8 editions published in 1962 in English and held by 98 WorldCat member libraries worldwide
8 editions published in 1962 in English and held by 98 WorldCat member libraries worldwide
The large sieve by
K. F Roth(
Book
)
11 editions published between 1968 and 1969 in English and held by 57 WorldCat member libraries worldwide
11 editions published between 1968 and 1969 in English and held by 57 WorldCat member libraries worldwide
Sequences. Vol 1 by
H Halberstam(
Book
)
6 editions published in 1966 in English and held by 28 WorldCat member libraries worldwide
6 editions published in 1966 in English and held by 28 WorldCat member libraries worldwide
The method of trigonometrical sums in the theory of number by
I. M Vinogradov(
Book
)
1 edition published in 1954 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 1954 in English and held by 11 WorldCat member libraries worldwide
Sequences(
Book
)
2 editions published in 1966 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 9 WorldCat member libraries worldwide
Sequences, by H. Halberstam and K.F. Roth by
H Halberstam(
Book
)
3 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
SEQUENCES. VON HEINI HALBERSTAM UND KLAUS FRIEDRICH ROTH by
H Halberstam(
Book
)
in Undetermined and held by 2 WorldCat member libraries worldwide
in Undetermined and held by 2 WorldCat member libraries worldwide
The Method of Trigonometrical Sums in the Theory of Numbers ... Translated from the Russian, revised and annotated by K.F.
Roth ... and Anne Davenport by
I. M Vinogradov(
Book
)
1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide
Sequences by
H Halberstam(
Book
)
4 editions published between 1966 and 1983 in Undetermined and English and held by 1 WorldCat member library worldwide
4 editions published between 1966 and 1983 in Undetermined and English and held by 1 WorldCat member library worldwide
Sequences. [Theory of numbers.] by
H Halberstam(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1. A theorem involving squarefree numbers. 2. A problem in additive number theory by
K. F Roth(
)
1 edition published in 1948 in English and held by 1 WorldCat member library worldwide
1 edition published in 1948 in English and held by 1 WorldCat member library worldwide
1. Proof that almost all positive integers are sums of a square, a positive cube and a fourth power. 2. On Warings problem
for cubes. 3. On the difference between consecutive square free numbers. 4. On a problem of Heilbronn by
K. F Roth(
Book
)
1 edition published in 1951 in English and held by 1 WorldCat member library worldwide
1 edition published in 1951 in English and held by 1 WorldCat member library worldwide
On Waring's problem for cubes by
K. F Roth(
)
1 edition published in 1950 in English and held by 1 WorldCat member library worldwide
1 edition published in 1950 in English and held by 1 WorldCat member library worldwide
Sequences by
H Halberstam(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Sequences Volume 1 by
H Halberstam(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The large sieve Inaugural lecture 1968 by
K. F Roth(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
Rational Approximations to Irrational Numbers ... An inaugural lecture delivered at University College, London, etc by
K. F Roth(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
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Audience Level
0 

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Related Identities
 Halberstam, H. (Heini) Author
 Vinogradov, I. M. (Ivan Matveevich) 18911983 Author
 Chen, William W. L.
 Davenport, Anne Ashley Translator
 University College, London
 Davenport, Anne Ashley Translator
 Claredon Press Publisher
Useful Links
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Alternative Names
Klaus Friedrich Roth
Klaus Friedrich Roth britischer Mathematiker, Professor der Mathematik
Klaus Roth brit matematikus
Klaus Roth British mathematician
Klaus Roth britisk matematikar
Klaus Roth britisk matematiker
Klaus Roth Brits wiskundige
Klaus Roth britský matematik
Klaus Roth brittisk matematiker
Klaus Roth matemàtic
Klaus Roth matemático británico
Klaus Roth matematico britannico
Klaus Roth mathématicien britannique
Roth, K. F.
Roth, K. F. 1925
Roth, K.F. 19252015
Roth, Klaus
Roth, Klaus 19252015
Roth, Klaus F. 1925
Roth, Klaus F. 19252015
Roth, Klaus Friedrich
Roth, Klaus (Klaus Friedrich)
Клаус Рот
Рот, Клаус Фридрих британский математик
קלאוס פרידריך רות מתמטיקאי בריטי
كلاوس روث
كلاوس روث رياضياتي بريطاني
کلاس راتھ
ကလောက်စ် ဝေါ့
클라우스 로스
クラウス・フリードリッヒ・ロス
克勞斯·羅特
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