Class information for:
Level 1: SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9779 1121 15.5 38%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
3165 2             SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE 2181
9779 1                   SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS 1121

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SUMSETS authKW 748985 5% 50% 55
2 ARITHMETIC PROGRESSIONS authKW 303978 5% 22% 51
3 ADDITIVE COMBINATORICS authKW 257167 2% 39% 24
4 NILSEQUENCES authKW 217902 1% 100% 8
5 FREIMANS THEOREM authKW 183851 1% 75% 9
6 BN K GROUPS authKW 163427 1% 100% 6
7 NILSYSTEMS authKW 163427 1% 100% 6
8 SMALL SQUARING PROPERTY authKW 163427 1% 100% 6
9 SMALL DOUBLING authKW 140078 1% 86% 6
10 UPPER BANACH DENSITY authKW 140078 1% 86% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 53361 93% 0% 1039
2 Mathematics, Applied 2014 18% 0% 199
3 Statistics & Probability 321 5% 0% 52
4 Computer Science, Theory & Methods 194 4% 0% 48
5 Logic 133 1% 0% 9
6 Multidisciplinary Sciences 8 1% 0% 8
7 Computer Science, Hardware & Architecture 1 0% 0% 5
8 Computer Science, Software Engineering 0 1% 0% 7
9 Philosophy -1 0% 0% 1
10 Computer Science, Information Systems -1 0% 0% 4

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ELTE TFK 54476 0% 100% 2
2 MATH ELTE TFK 54476 0% 100% 2
3 UMI UCHILE 2071 54476 0% 100% 2
4 ELTE TTK 52374 0% 38% 5
5 PURE MATH MATH STAT 40013 3% 5% 32
6 COURANT MATH STUDIES 36316 0% 67% 2
7 ANAL MATH PL 28709 2% 5% 20
8 CNRS EQUIPE COMBINATOIRE 27238 0% 100% 1
9 E COMBINATOIRE OPTIMIZAT 27238 0% 100% 1
10 EA 769 27238 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ACTA ARITHMETICA 47583 7% 2% 75
2 JOURNAL OF NUMBER THEORY 27532 6% 1% 69
3 COMBINATORICS PROBABILITY & COMPUTING 26881 3% 3% 30
4 COMBINATORICA 26234 3% 3% 36
5 ERGODIC THEORY AND DYNAMICAL SYSTEMS 24999 4% 2% 47
6 JOURNAL OF COMBINATORIAL THEORY SERIES A 23272 5% 2% 53
7 JOURNAL D ANALYSE MATHEMATIQUE 22236 3% 3% 31
8 ISRAEL JOURNAL OF MATHEMATICS 18104 4% 1% 50
9 ASTERISQUE 9453 2% 2% 23
10 EUROPEAN JOURNAL OF COMBINATORICS 8479 3% 1% 31

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SUMSETS 748985 5% 50% 55 Search SUMSETS Search SUMSETS
2 ARITHMETIC PROGRESSIONS 303978 5% 22% 51 Search ARITHMETIC+PROGRESSIONS Search ARITHMETIC+PROGRESSIONS
3 ADDITIVE COMBINATORICS 257167 2% 39% 24 Search ADDITIVE+COMBINATORICS Search ADDITIVE+COMBINATORICS
4 NILSEQUENCES 217902 1% 100% 8 Search NILSEQUENCES Search NILSEQUENCES
5 FREIMANS THEOREM 183851 1% 75% 9 Search FREIMANS+THEOREM Search FREIMANS+THEOREM
6 BN K GROUPS 163427 1% 100% 6 Search BN+K+GROUPS Search BN+K+GROUPS
7 NILSYSTEMS 163427 1% 100% 6 Search NILSYSTEMS Search NILSYSTEMS
8 SMALL SQUARING PROPERTY 163427 1% 100% 6 Search SMALL+SQUARING+PROPERTY Search SMALL+SQUARING+PROPERTY
9 SMALL DOUBLING 140078 1% 86% 6 Search SMALL+DOUBLING Search SMALL+DOUBLING
10 UPPER BANACH DENSITY 140078 1% 86% 6 Search UPPER+BANACH+DENSITY Search UPPER+BANACH+DENSITY

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SHKREDOV, ID , (2015) STRUCTURE THEOREMS IN ADDITIVE COMBINATORICS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 70. ISSUE 1. P. 113 -163 60 73% 0
2 WOLF, J , (2015) FINITE FIELD MODELS IN ARITHMETIC COMBINATORICS - TEN YEARS ON.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 32. ISSUE . P. 233 -274 34 87% 1
3 SANDERS, T , (2012) ON THE BOGOLYUBOV-RUZSA LEMMA.ANALYSIS & PDE. VOL. 5. ISSUE 3. P. 627 -655 27 100% 21
4 FREIMAN, GA , (1999) STRUCTURE THEORY OF SET ADDITION.ASTERISQUE. VOL. . ISSUE 258. P. 1 -33 56 74% 14
5 SHKREDOV, ID , (2010) FOURIER ANALYSIS IN COMBINATORIAL NUMBER THEORY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 65. ISSUE 3. P. 513 -567 48 60% 0
6 GREEN, B , TAO, T , ZIEGLER, T , (2012) AN INVERSE THEOREM FOR THE GOWERS US+1[N]-NORM.ANNALS OF MATHEMATICS. VOL. 176. ISSUE 2. P. 1231 -1372 26 93% 25
7 WOLF, J , (2013) ARITHMETIC AND POLYNOMIAL PROGRESSIONS IN THE PRIMES [AFTER GOWERS, GREEN, TAO AND ZIEGLER].ASTERISQUE. VOL. . ISSUE 352. P. 389-427 28 90% 0
8 SANDERS, T , (2013) THE STRUCTURE THEORY OF SET ADDITION REVISITED.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 50. ISSUE 1. P. 93-127 26 90% 10
9 CHU, Q , FRANTZIKINAKIS, N , HOST, B , (2011) ERGODIC AVERAGES OF COMMUTING TRANSFORMATIONS WITH DISTINCT DEGREE POLYNOMIAL ITERATES.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 102. ISSUE . P. 801 -842 24 100% 6
10 FRANTZIKINAKIS, N , HOST, B , (2017) HIGHER ORDER FOURIER ANALYSIS OF MULTIPLICATIVE FUNCTIONS AND APPLICATIONS.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 30. ISSUE 1. P. 67 -157 27 73% 0

Classes with closest relation at Level 1


Rank Class id link
1 17728 ZERO SUM SEQUENCE//DAVENPORT CONSTANT//ZERO SUM PROBLEMS
2 20125 STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION
3 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
4 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
5 9663 PROPERTY TESTING//GRAPH LIMITS//TURAN DENSITY
6 24868 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS
7 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
8 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
9 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
10 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS

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