Class information for:
Level 1: REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
24868 299 10.9 34%



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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
295 3       CRYPTOGRAPHY//COMPUTER SCIENCE, THEORY & METHODS//IEEE TRANSACTIONS ON INFORMATION THEORY 41419
2567 2             LINEAR COMPLEXITY//PERMUTATION POLYNOMIAL//FINITE FIELDS AND THEIR APPLICATIONS 3707
24868 1                   REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS 299

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 REPRESENTATION FUNCTION authKW 2326516 9% 84% 27
2 ERDOS TURAN CONJECTURE authKW 1429743 5% 100% 14
3 SIDON SETS authKW 1031967 8% 42% 24
4 ADDITIVE REPRESENTATION FUNCTION authKW 919121 3% 100% 9
5 GENERAL SEQUENCES authKW 714872 2% 100% 7
6 SARKOZY PROBLEM authKW 714872 2% 100% 7
7 SIDON SEQUENCE authKW 594175 3% 73% 8
8 ERDOS FUCHS THEOREM authKW 510623 2% 100% 5
9 ADDITIVE BASIS authKW 510613 3% 50% 10
10 B H SEQUENCES authKW 425517 2% 83% 5

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 13395 90% 0% 269
2 Mathematics, Applied 580 18% 0% 55
3 Statistics & Probability 6 2% 0% 5
4 Computer Science, Information Systems 5 2% 0% 5
5 Music 3 0% 0% 1
6 Computer Science, Software Engineering 1 1% 0% 3
7 Computer Science, Theory & Methods 0 1% 0% 3
8 Multidisciplinary Sciences 0 0% 0% 1
9 Engineering, Industrial 0 0% 0% 1
10 Operations Research & Management Science -0 0% 0% 1

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 CANADA CHAIR OPTIMIZAT COMMUN NETWORKS 102125 0% 100% 1
2 CIENCIAS MATEMAT CIS UAM UCM UC3M 102125 0% 100% 1
3 CNRS UMI 3457 102125 0% 100% 1
4 ALGEBRA NUMBER THEORY 53636 5% 4% 14
5 MATHEMAT LAURENT WARTZ 34040 0% 33% 1
6 UNIV PATTERN RECOGNIT INTELLIGENT INFOR 34040 0% 33% 1
7 SHANGHAI PMMP 32309 2% 6% 5
8 CIENCIAS MATEMAT CSIC UAM UC3M UCM 20421 1% 10% 2
9 FJFI MATH 10211 0% 10% 1
10 SCI TECHNIQUES 8509 0% 8% 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 JOURNAL OF NUMBER THEORY 70680 19% 1% 57
2 ACTA ARITHMETICA 45865 13% 1% 38
3 DISCRETE MATHEMATICS 5437 8% 0% 25
4 ACTA MATHEMATICA HUNGARICA 4963 4% 0% 12
5 EUROPEAN JOURNAL OF COMBINATORICS 4010 4% 0% 11
6 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 3708 4% 0% 11
7 ELECTRONIC JOURNAL OF COMBINATORICS 2613 3% 0% 8
8 INTERNATIONAL JOURNAL OF NUMBER THEORY 2270 2% 0% 5
9 JOURNAL OF COMBINATORIAL THEORY SERIES A 1981 3% 0% 8
10 PUBLICATIONES MATHEMATICAE-DEBRECEN 1892 2% 0% 6

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 REPRESENTATION FUNCTION 2326516 9% 84% 27 Search REPRESENTATION+FUNCTION Search REPRESENTATION+FUNCTION
2 ERDOS TURAN CONJECTURE 1429743 5% 100% 14 Search ERDOS+TURAN+CONJECTURE Search ERDOS+TURAN+CONJECTURE
3 SIDON SETS 1031967 8% 42% 24 Search SIDON+SETS Search SIDON+SETS
4 ADDITIVE REPRESENTATION FUNCTION 919121 3% 100% 9 Search ADDITIVE+REPRESENTATION+FUNCTION Search ADDITIVE+REPRESENTATION+FUNCTION
5 GENERAL SEQUENCES 714872 2% 100% 7 Search GENERAL+SEQUENCES Search GENERAL+SEQUENCES
6 SARKOZY PROBLEM 714872 2% 100% 7 Search SARKOZY+PROBLEM Search SARKOZY+PROBLEM
7 SIDON SEQUENCE 594175 3% 73% 8 Search SIDON+SEQUENCE Search SIDON+SEQUENCE
8 ERDOS FUCHS THEOREM 510623 2% 100% 5 Search ERDOS+FUCHS+THEOREM Search ERDOS+FUCHS+THEOREM
9 ADDITIVE BASIS 510613 3% 50% 10 Search ADDITIVE+BASIS Search ADDITIVE+BASIS
10 B H SEQUENCES 425517 2% 83% 5 Search B+H+SEQUENCES Search B+H+SEQUENCES

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 O'BRYANT, K , (2004) A COMPLETE ANNOTATED BIBLIOGRAPHY OF WORK RELATED TO SIDON SEQUENCES.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. . ISSUE . P. - 47 85% 0
2 YANG, QH , CHEN, YG , (2013) WEIGHTED REPRESENTATION FUNCTIONS ON Z(M).TAIWANESE JOURNAL OF MATHEMATICS. VOL. 17. ISSUE 4. P. 1311 -1319 15 94% 3
3 QU, ZH , (2014) PARTITIONS OF Z(M) WITH THE SAME WEIGHTED REPRESENTATION FUNCTIONS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 21. ISSUE 2. P. - 13 100% 0
4 QU, ZH , (2014) A REMARK ON WEIGHTED REPRESENTATION FUNCTIONS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 18. ISSUE 6. P. 1713 -1719 13 100% 0
5 YANG, QH , (2014) REPRESENTATION FUNCTIONS WITH DIFFERENT WEIGHTS.COLLOQUIUM MATHEMATICUM. VOL. 137. ISSUE 1. P. 1 -6 12 100% 1
6 KISS, SZ , SANDOR, C , (2016) ON THE MAXIMUM VALUES OF THE ADDITIVE REPRESENTATION FUNCTIONS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 12. ISSUE 4. P. 1055 -1075 11 100% 0
7 MATOLCSI, M , VINUESA, C , (2010) IMPROVED BOUNDS ON THE SUPREMUM OF AUTOCONVOLUTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 372. ISSUE 2. P. 439-447 11 100% 0
8 YANG, QH , CHEN, YG , (2012) PARTITIONS OF NATURAL NUMBERS WITH THE SAME WEIGHTED REPRESENTATION FUNCTIONS.JOURNAL OF NUMBER THEORY. VOL. 132. ISSUE 12. P. 3047-3055 10 100% 5
9 CHEN, YG , TANG, M , (2009) PARTITIONS OF NATURAL NUMBERS WITH THE SAME REPRESENTATION FUNCTIONS.JOURNAL OF NUMBER THEORY. VOL. 129. ISSUE 11. P. 2689-2695 10 100% 9
10 QU, ZH , (2016) A NOTE ON REPRESENTATION FUNCTIONS WITH DIFFERENT WEIGHTS.COLLOQUIUM MATHEMATICUM. VOL. 143. ISSUE 1. P. 105 -112 8 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 29164 MERIT FACTOR//LITTLEWOOD POLYNOMIALS//FEKETE POLYNOMIALS
2 9779 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
3 21646 COSTAS ARRAYS//PRIMITIVE ELEMENT//GOLOMB METHOD
4 37184 MULTI FACET SEARCH//VIEW BASED SEARCH//FACETED SEARCH
5 15018 GRACEFUL GRAPH//GRACEFUL LABELING//INTEGRAL SUM GRAPH
6 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
7 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
8 19225 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE
9 23117 IRREGULARITY STRENGTH//TOTAL VERTEX IRREGULARITY STRENGTH//COMBINATORIAL NULLSTELLENSATZ
10 9663 PROPERTY TESTING//GRAPH LIMITS//TURAN DENSITY

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