Analytic number theory: essays in honour of Klaus Roth
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XVIII, 491 S. Ill. |
| ISBN: | 9780521515382 |
Internformat
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| 300 | |a XVIII, 491 S. |b Ill. | ||
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Datensatz im Suchindex
| _version_ | 1804139339272159232 |
|---|---|
| adam_text | CONTENTS
Contributors
vii
Preface
xi
Acknowledgments
xii
Klaus Roth at
80 xiii
1
Numbers with a large prime factor II
1
Roger Baker and Glyn
Hárman
2
Character sums with Beatty sequences on Burgess-type intervals
15
William D. Banks and Igor E. Shparlinski
3
The Hales-Jewett number is exponential: game-theoretic consequences
22
József
Beck, Wesley Pegden and Sujith Vijay
4
Classical metric diophantine approximation revisited
38
Victor Beresnemch, Vastly Bernik, Maurice Dodson and
Sanju Velani
5
The sum-product phenomenon and some of its applications
62
J. Bourgain
6
Integral points on cubic hypersurfaces
75
T.D. Browning and D.R. Heath-Brown
7
Binary additive problems and the circle method, multiplicative
91
sequences and convergent sieves
Jörg Brüdern
8
On the
convergents
to algebraic numbers
133
Yann Bugeaud
9
Complexity bounds via Roth s method of orthogonal functions
144
Bernard Chazelle
10
Some of Roth s ideas in discrepancy theory
150
William Chen and
Giuncarlo Travaglini
11
Congruences and ideals
164
Harold G. Diamond and H. Halberstam
12
Elementary geometry of Hubert spaces applied to abelian groups
170
P.D.T.A. Elliott
13
New bounds for
Szemerédi s
theorem II: a new bound for r4(JV)
180
Ben Green and Terence Tao
vi
CONTENTS
14
One-sided discrepancy of linear
hyperplanes in
finite vector spaces
205
Nils Hebbinghaus,
Tomasz
Schoen
and Anand Srivastav
15
How small must ill-distributed sets be?
224
H.A.
Helfgott and A. Venkatesh
16
On the power-free values of polynomials in two variables
235
С
Hooley
17
On a question of Browning and Heath-Brown
267
Nicholas M. Katz
18
Good distribution of values of sparse polynomials modulo a prime
289
Sergei
Konyagin
19
Diophantine approximation and continued fractions in power series fields
297
A. Lasjaunias
20
On transfer inequalities in diophantine approximation
306
Michel Laurent
21
On exponential sums with multiplicative coefficients
315
Helmut Maier
22
Multiplicative dependence of values of algebraic functions
324
David
Masser
23
Linear forms in logarithms, and simultaneous diophantine approximation
334
Bernard
de Mathan
24
The
Caccetta-Häggkvist
conjecture and additive number theory
347
Melvyn B. Nathanson
25
Z/2 discrepancy and multivariate integration
359
Erich Novak and
Henryk
Woźniakowski
26
Irregularities of sequences relative to long arithmetic progressions
389
A. Sárközy
and C.L. Stewart
27
The number of solutions of a linear homogeneous congruence II
402
A. Schinzel, with an appendix by
Jerzy Kaczorowski
28
The diophantine equation a*1
...
a%
=
f{x ,
...,
xn)
414
Wolfgang M. Schmidt
29
Approximation exponents for function fields
421
Dinesh S. Thakur
30
On generating functions in additive number theory I
436
R.C. Vaughan
31
Words and transcendence
449
Michel
Waldschmidt
32
Roth s theorem, integral points and certain ramified covers of
Ψχ
471
Umberto
Zanníer
Klaus
Roth s pioneering research in thefield of numbertheory has led
to important and substantial breakthroughs in many areas, including
diophantine approximation, irregularities of distribution and large
sieve theory. His work on the Thue-siegel-Roth Theorem earned him
a Fields Medal in 1
958 -
the first British mathematician to receive the
honour.
AnalytkNumberTheoryiEssays in Honour
oţKlaus
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.
Extensive lists of references make th is a valuable source for research
mathematicians in many areas, an introductory overview of the
subject for beginning research students and a fitting long-awaited
tribute to a truly great mathematician.
w.W.
L
Chen is Emeritus Professor of Mathematics in the
Department of Mathematics at Macquarie university,
w.T.Gowers is Rouse Ball Professor of Mathematics in the
Department ofPure Mathematics and Mathematical statistics
(DPMMS)atthe university of Cambridge.
H. Halberstam is Professor Emeritus in the Department of
Mathematics at the university of Illinois, urbana-champaign.
W.M.Schmidt is Distinguished Professor Emeritus in the Department
of Mathematics atthe university of Colorado, Boulder.
R.cvaughan is Professor of Mathematics in the Department
of Mathematics at Pennsylvania state university.
|
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| dewey-full | 512.7/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512.7/3 |
| dewey-sort | 3512.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:42:31Z |
| institution | BVB |
| isbn | 9780521515382 |
| language | English |
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| physical | XVIII, 491 S. Ill. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| spelling | Analytic number theory essays in honour of Klaus Roth W. W. L. Chen ... 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 XVIII, 491 S. Ill. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Number theory Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)4016928-5 Festschrift gnd-content Analytische Zahlentheorie (DE-588)4001870-2 s DE-604 Chen, W. W. L. Sonstige oth Roth, Klaus Friedrich 1925-2015 (DE-588)1026762375 hnr Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017707395&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017707395&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Analytic number theory essays in honour of Klaus Roth Number theory Analytische Zahlentheorie (DE-588)4001870-2 gnd |
| subject_GND | (DE-588)4001870-2 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Analytic number theory essays in honour of Klaus Roth |
| title_auth | Analytic number theory essays in honour of Klaus Roth |
| title_exact_search | Analytic number theory essays in honour of Klaus Roth |
| title_full | Analytic number theory essays in honour of Klaus Roth W. W. L. Chen ... |
| title_fullStr | Analytic number theory essays in honour of Klaus Roth W. W. L. Chen ... |
| title_full_unstemmed | Analytic number theory essays in honour of Klaus Roth W. W. L. Chen ... |
| title_short | Analytic number theory |
| title_sort | analytic number theory essays in honour of klaus roth |
| title_sub | essays in honour of Klaus Roth |
| topic | Number theory Analytische Zahlentheorie (DE-588)4001870-2 gnd |
| topic_facet | Number theory Analytische Zahlentheorie Aufsatzsammlung Festschrift |
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