Class information for:
Level 1: SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS

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
9893 1                   SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS 1143

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SHIFTED PRIMES authKW 270199 1% 70% 14
2 ACTA ARITHMETICA journal 229104 14% 5% 165
3 MULTIPLICATIVE FUNCTIONS authKW 199048 2% 38% 19
4 COMP ALGEBRA address 196035 2% 30% 24
5 SMOOTH NUMBERS authKW 193851 1% 47% 15
6 FRIABLE INTEGERS authKW 168878 1% 88% 7
7 ADDITIVE ARITHMETIC SEMIGROUP authKW 137861 0% 100% 5
8 PRIMES IN RESIDUE CLASSES authKW 137861 0% 100% 5
9 EULER FUNCTION authKW 131974 1% 32% 15
10 ADDITIVE ARITHMETICAL SEMIGROUPS authKW 110289 0% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 56937 95% 0% 1086
2 Mathematics, Applied 547 10% 0% 113
3 Statistics & Probability 2 1% 0% 10
4 Logic 0 0% 0% 1
5 Cell & Tissue Engineering -0 0% 0% 1
6 Computer Science, Theory & Methods -0 1% 0% 8
7 Multidisciplinary Sciences -0 0% 0% 2
8 Computer Science, Hardware & Architecture -2 0% 0% 1
9 Mathematical & Computational Biology -2 0% 0% 1
10 Mathematics, Interdisciplinary Applications -2 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMP ALGEBRA 196035 2% 30% 24
2 ELIE CARTAN 85814 4% 7% 45
3 AL ZARKA UNIV 55144 0% 100% 2
4 PROBABIL THEORY NUMBER THEORY 49013 0% 44% 4
5 ALGORITHM ARITHMET EXPT A2X 27572 0% 100% 1
6 CASE 7012UMR 7586 27572 0% 100% 1
7 CNRSUP A 6090 LACO 27572 0% 100% 1
8 ELIE CARATAN 27572 0% 100% 1
9 FED CNRS 27572 0% 100% 1
10 FEZA GURSEY ENSTITUSU 27572 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 229104 14% 5% 165
2 JOURNAL OF NUMBER THEORY 75099 10% 2% 115
3 ACTA MATHEMATICA HUNGARICA 41154 6% 2% 67
4 MATHEMATIKA 33636 3% 4% 33
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 12875 2% 2% 24
6 RAMANUJAN JOURNAL 12417 2% 2% 22
7 QUARTERLY JOURNAL OF MATHEMATICS 9072 2% 2% 22
8 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 8345 2% 1% 25
9 PROGRESS IN MATHEMATICS 6892 0% 25% 1
10 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 6767 3% 1% 30

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SHIFTED PRIMES 270199 1% 70% 14 Search SHIFTED+PRIMES Search SHIFTED+PRIMES
2 MULTIPLICATIVE FUNCTIONS 199048 2% 38% 19 Search MULTIPLICATIVE+FUNCTIONS Search MULTIPLICATIVE+FUNCTIONS
3 SMOOTH NUMBERS 193851 1% 47% 15 Search SMOOTH+NUMBERS Search SMOOTH+NUMBERS
4 FRIABLE INTEGERS 168878 1% 88% 7 Search FRIABLE+INTEGERS Search FRIABLE+INTEGERS
5 ADDITIVE ARITHMETIC SEMIGROUP 137861 0% 100% 5 Search ADDITIVE+ARITHMETIC+SEMIGROUP Search ADDITIVE+ARITHMETIC+SEMIGROUP
6 PRIMES IN RESIDUE CLASSES 137861 0% 100% 5 Search PRIMES+IN+RESIDUE+CLASSES Search PRIMES+IN+RESIDUE+CLASSES
7 EULER FUNCTION 131974 1% 32% 15 Search EULER+FUNCTION Search EULER+FUNCTION
8 ADDITIVE ARITHMETICAL SEMIGROUPS 110289 0% 100% 4 Search ADDITIVE+ARITHMETICAL+SEMIGROUPS Search ADDITIVE+ARITHMETICAL+SEMIGROUPS
9 DENSE DIVISORS 110289 0% 100% 4 Search DENSE+DIVISORS Search DENSE+DIVISORS
10 PRACTICAL NUMBER 110289 0% 100% 4 Search PRACTICAL+NUMBER Search PRACTICAL+NUMBER

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 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM
2 18944 BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS
3 10665 CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD
4 24238 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
5 21059 RANDOM MAPPINGS//CYCLE WEIGHTS//NATURAL DIVISOR
6 30400 EGYPTIAN FRACTIONS//ERDOS MOSER EQUATION//ALGEBRAIC AND LINEAR DEPENDENCES
7 12566 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
8 33184 FACTORISATIO NUMERORUM//ORDERED FACTORIZATIONS//PARTIAL DIGEST
9 30223 PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS
10 14324 DEDEKIND SUMS//HYBRID MEAN VALUE//ASYMPTOTIC FORMULA

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