Class information for:
Level 1: BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED 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
18944 1                   BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS 552

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BEURLING GENERALIZED PRIMES authKW 342567 1% 100% 6
2 CHEBYSHEVS BIAS authKW 237892 1% 83% 5
3 BEURLING GENERALIZED NUMBERS authKW 228378 1% 100% 4
4 FACTORIZATIONS OF DISTINCT LENGTHS authKW 228378 1% 100% 4
5 ZERO FREE REGIONS authKW 182701 1% 80% 4
6 OMEGA ESTIMATES authKW 178417 1% 63% 5
7 CHEBYSHEV PRIME BOUNDS authKW 171284 1% 100% 3
8 HILBERT SEMIGROUP authKW 171284 1% 100% 3
9 ROBINS INEQUALITY authKW 171284 1% 100% 3
10 SHIFTED POWER authKW 171284 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 17726 77% 0% 423
2 Mathematics, Applied 2331 26% 0% 146
3 Computer Science, Theory & Methods 36 3% 0% 16
4 Computer Science, Software Engineering 23 2% 0% 11
5 Logic 11 0% 0% 2
6 Computer Science, Information Systems 2 1% 0% 6
7 Multidisciplinary Sciences 1 1% 0% 3
8 Physics, Mathematical 1 1% 0% 6
9 Computer Science, Hardware & Architecture 0 0% 0% 2
10 Statistics & Probability -0 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIPARTIMENTO INGN GEST INFORMAZ PROD 95151 1% 33% 5
2 CNRS PAUL PAINLEVE 76125 0% 67% 2
3 ACTUARIAL ANAL 57095 0% 100% 1
4 ELECT TELECOMUNICAC INFORMAT 57095 0% 100% 1
5 NORHAM GARDENS 57095 0% 100% 1
6 UMR 8423 PAUL PAINLEVE 57095 0% 100% 1
7 UNIILL 57095 0% 100% 1
8 UNITE MIXTE RECH 9936 57095 0% 100% 1
9 UP A 6090CNRS 57095 0% 100% 1
10 URA 8628 57095 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICS OF COMPUTATION 90201 14% 2% 80
2 ACTA ARITHMETICA 73596 12% 2% 65
3 JOURNAL OF NUMBER THEORY 34284 10% 1% 54
4 EXPERIMENTAL MATHEMATICS 12738 2% 2% 13
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 11861 3% 1% 16
6 RAMANUJAN JOURNAL 8984 2% 1% 13
7 AMERICAN MATHEMATICAL MONTHLY 4615 3% 1% 15
8 ALGEBRA & NUMBER THEORY 2638 1% 1% 5
9 MONATSHEFTE FUR MATHEMATIK 2429 2% 0% 10
10 PUBLICATIONES MATHEMATICAE-DEBRECEN 2337 2% 0% 9

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BEURLING GENERALIZED PRIMES 342567 1% 100% 6 Search BEURLING+GENERALIZED+PRIMES Search BEURLING+GENERALIZED+PRIMES
2 CHEBYSHEVS BIAS 237892 1% 83% 5 Search CHEBYSHEVS+BIAS Search CHEBYSHEVS+BIAS
3 BEURLING GENERALIZED NUMBERS 228378 1% 100% 4 Search BEURLING+GENERALIZED+NUMBERS Search BEURLING+GENERALIZED+NUMBERS
4 FACTORIZATIONS OF DISTINCT LENGTHS 228378 1% 100% 4 Search FACTORIZATIONS+OF+DISTINCT+LENGTHS Search FACTORIZATIONS+OF+DISTINCT+LENGTHS
5 ZERO FREE REGIONS 182701 1% 80% 4 Search ZERO+FREE+REGIONS Search ZERO+FREE+REGIONS
6 OMEGA ESTIMATES 178417 1% 63% 5 Search OMEGA+ESTIMATES Search OMEGA+ESTIMATES
7 CHEBYSHEV PRIME BOUNDS 171284 1% 100% 3 Search CHEBYSHEV+PRIME+BOUNDS Search CHEBYSHEV+PRIME+BOUNDS
8 HILBERT SEMIGROUP 171284 1% 100% 3 Search HILBERT+SEMIGROUP Search HILBERT+SEMIGROUP
9 ROBINS INEQUALITY 171284 1% 100% 3 Search ROBINS+INEQUALITY Search ROBINS+INEQUALITY
10 SHIFTED POWER 171284 1% 100% 3 Search SHIFTED+POWER Search SHIFTED+POWER

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 24238 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
2 30223 PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS
3 5230 L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS
4 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
5 24523 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
6 30400 EGYPTIAN FRACTIONS//ERDOS MOSER EQUATION//ALGEBRAIC AND LINEAR DEPENDENCES
7 12566 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
8 10665 CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD
9 24345 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS
10 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM

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