Class information for:
Level 1: PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
1755 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//DEDEKIND SUMS 6790
30223 1                   PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS 188

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PERFECT NUMBER authKW 2860736 12% 74% 23
2 ODD PERFECT NUMBERS authKW 1676431 5% 100% 10
3 SOCIABLE NUMBERS authKW 1676431 5% 100% 10
4 SUM OF DIVISORS authKW 1589492 9% 59% 16
5 AMICABLE NUMBERS authKW 1192127 4% 89% 8
6 NEAR PERFECT NUMBER authKW 1173502 4% 100% 7
7 AMICABLE PAIR authKW 894091 4% 67% 8
8 DEFICIENT NUMBERS authKW 838215 3% 100% 5
9 ALIQUOT SEQUENCES authKW 670572 2% 100% 4
10 ALIQUOT CYCLES authKW 598722 3% 71% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 4738 68% 0% 128
2 Mathematics, Applied 1985 41% 0% 77
3 COMPUTER APPLICATIONS & CYBERNETICS 62 1% 0% 1
4 Statistics & Probability 8 2% 0% 4
5 History & Philosophy of Science 3 1% 0% 1
6 Computer Science, Theory & Methods 0 1% 0% 2
7 Mathematics, Interdisciplinary Applications 0 1% 0% 1
8 Computer Science, Software Engineering 0 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MOSCOW LRI 167643 1% 100% 1
2 MODELING ANAL SIMULAT 83821 1% 50% 1
3 MATH COMPUTAC 27939 1% 17% 1
4 UP A5028 27939 1% 17% 1
5 JV PONCELET 17190 1% 5% 2
6 WENTIAN 7981 1% 5% 1
7 ATER 5406 1% 3% 1
8 CNRS UMR 6205 4655 1% 3% 1
9 BOYD STUDIES 2702 1% 2% 1
10 MATH 2343 42% 0% 79

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICS OF COMPUTATION 103538 27% 1% 50
2 FIBONACCI QUARTERLY 26952 8% 1% 15
3 JOURNAL OF NUMBER THEORY 15230 11% 0% 21
4 PORTUGALIAE MATHEMATICA 9083 2% 2% 3
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 8714 4% 1% 8
6 COLLOQUIUM MATHEMATICUM 5795 3% 1% 5
7 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 4978 5% 0% 10
8 AMERICAN MATHEMATICAL MONTHLY 4891 5% 0% 9
9 PUBLICATIONES MATHEMATICAE-DEBRECEN 4169 4% 0% 7
10 RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA 4072 2% 1% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 PERFECT NUMBER 2860736 12% 74% 23 Search PERFECT+NUMBER Search PERFECT+NUMBER
2 ODD PERFECT NUMBERS 1676431 5% 100% 10 Search ODD+PERFECT+NUMBERS Search ODD+PERFECT+NUMBERS
3 SOCIABLE NUMBERS 1676431 5% 100% 10 Search SOCIABLE+NUMBERS Search SOCIABLE+NUMBERS
4 SUM OF DIVISORS 1589492 9% 59% 16 Search SUM+OF+DIVISORS Search SUM+OF+DIVISORS
5 AMICABLE NUMBERS 1192127 4% 89% 8 Search AMICABLE+NUMBERS Search AMICABLE+NUMBERS
6 NEAR PERFECT NUMBER 1173502 4% 100% 7 Search NEAR+PERFECT+NUMBER Search NEAR+PERFECT+NUMBER
7 AMICABLE PAIR 894091 4% 67% 8 Search AMICABLE+PAIR Search AMICABLE+PAIR
8 DEFICIENT NUMBERS 838215 3% 100% 5 Search DEFICIENT+NUMBERS Search DEFICIENT+NUMBERS
9 ALIQUOT SEQUENCES 670572 2% 100% 4 Search ALIQUOT+SEQUENCES Search ALIQUOT+SEQUENCES
10 ALIQUOT CYCLES 598722 3% 71% 5 Search ALIQUOT+CYCLES Search ALIQUOT+CYCLES

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 38797 APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT
2 18944 BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS
3 24238 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
4 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
5 29241 COVERING SYSTEMS//COVERING CONGRUENCES//SUMS OF PRIME POWERS
6 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM
7 24595 DIAGONAL EQUATION//GAUSS SUM//EQUATION IN A FINITE FIELD
8 30400 EGYPTIAN FRACTIONS//ERDOS MOSER EQUATION//ALGEBRAIC AND LINEAR DEPENDENCES
9 14734 SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS
10 18556 PRIME GRAPH//ELEMENT ORDER//SIMPLE GROUP

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