Class information for:
Level 1: SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS

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
14734 1                   SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS 781

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SUPERCONGRUENCES authKW 1107972 4% 89% 31
2 FERMAT QUOTIENTS authKW 1076764 5% 68% 39
3 CENTRAL BINOMIAL COEFFICIENTS authKW 568443 2% 78% 18
4 GAUSSIAN HYPERGEOMETRIC SERIES authKW 527278 2% 93% 14
5 BINOMIAL COEFFICIENTS authKW 449336 6% 24% 46
6 P ADIC GAMMA FUNCTION authKW 426224 2% 81% 13
7 CONGRUENCE authKW 394797 13% 9% 104
8 APERY NUMBERS authKW 305163 1% 69% 11
9 EULER QUOTIENTS authKW 282471 1% 100% 7
10 FRANEL NUMBERS authKW 282471 1% 100% 7

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 32461 87% 0% 679
2 Mathematics, Applied 2096 21% 0% 167
3 Computer Science, Information Systems 5 1% 0% 10
4 Computer Science, Software Engineering 4 1% 0% 8
5 Statistics & Probability 1 1% 0% 7
6 Computer Science, Hardware & Architecture 0 0% 0% 3
7 Mathematics, Interdisciplinary Applications 0 1% 0% 4
8 Computer Science, Theory & Methods -0 1% 0% 5
9 Physics, Mathematical -0 1% 0% 5
10 Mathematical & Computational Biology -1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROV PL MATH 121059 0% 100% 3
2 SHANGHAI PMMP 95548 2% 16% 15
3 DIPARTIMENTO MATEMAT 1 40353 0% 100% 1
4 INFORM SECUR 40353 0% 100% 1
5 RECH INFORMAT UMR 8623 40353 0% 100% 1
6 QUANTUM GEOMETRY QGM 20176 0% 50% 1
7 SIIRT VOCAT HIGH 20176 0% 50% 1
8 CEVIS 20172 0% 17% 3
9 MARITIME KOTOR 16138 0% 20% 2
10 MATH CC 10087 0% 25% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FIBONACCI QUARTERLY 184584 10% 6% 80
2 JOURNAL OF NUMBER THEORY 111939 15% 2% 116
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 99218 7% 4% 55
4 ACTA ARITHMETICA 18681 5% 1% 39
5 RAMANUJAN JOURNAL 12172 2% 2% 18
6 AMERICAN MATHEMATICAL MONTHLY 5796 3% 1% 20
7 MATHEMATICS OF COMPUTATION 5700 3% 1% 24
8 FINITE FIELDS AND THEIR APPLICATIONS 4483 1% 1% 11
9 ELECTRONIC JOURNAL OF COMBINATORICS 2605 2% 1% 13
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2235 4% 0% 31

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SUPERCONGRUENCES 1107972 4% 89% 31 Search SUPERCONGRUENCES Search SUPERCONGRUENCES
2 FERMAT QUOTIENTS 1076764 5% 68% 39 Search FERMAT+QUOTIENTS Search FERMAT+QUOTIENTS
3 CENTRAL BINOMIAL COEFFICIENTS 568443 2% 78% 18 Search CENTRAL+BINOMIAL+COEFFICIENTS Search CENTRAL+BINOMIAL+COEFFICIENTS
4 GAUSSIAN HYPERGEOMETRIC SERIES 527278 2% 93% 14 Search GAUSSIAN+HYPERGEOMETRIC+SERIES Search GAUSSIAN+HYPERGEOMETRIC+SERIES
5 BINOMIAL COEFFICIENTS 449336 6% 24% 46 Search BINOMIAL+COEFFICIENTS Search BINOMIAL+COEFFICIENTS
6 P ADIC GAMMA FUNCTION 426224 2% 81% 13 Search P+ADIC+GAMMA+FUNCTION Search P+ADIC+GAMMA+FUNCTION
7 CONGRUENCE 394797 13% 9% 104 Search CONGRUENCE Search CONGRUENCE
8 APERY NUMBERS 305163 1% 69% 11 Search APERY+NUMBERS Search APERY+NUMBERS
9 EULER QUOTIENTS 282471 1% 100% 7 Search EULER+QUOTIENTS Search EULER+QUOTIENTS
10 FRANEL NUMBERS 282471 1% 100% 7 Search FRANEL+NUMBERS Search FRANEL+NUMBERS

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 29035 QUARTIC JACOBI SYMBOL//CUBIC CONGRUENCE//OCTIC RESIDUE
2 20679 STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS
3 24595 DIAGONAL EQUATION//GAUSS SUM//EQUATION IN A FINITE FIELD
4 37370 FIRST FACTOR CLASS NUMBER//KUMMER SYSTEM OF CONGRUENCES//CATALAN CURVE
5 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
6 12655 RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX
7 31774 STEINHAUS GRAPH//DUCCI SEQUENCES//FIBONACCI QUARTERLY
8 20995 IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY
9 20719 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
10 36047 NORMAL SUBGROUP LATTICE//SUBGROUP COMMUTATIVITY DEGREE//SOLITARY SUBGROUP

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