Class information for:
Level 1: ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM

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
20654 1                   ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM 475

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ARTINS CONJECTURE authKW 236952 2% 36% 10
2 CHEBOTAREV DENSITY THEOREM authKW 223921 2% 38% 9
3 BARBAN DAVENPORT HALBERSTAM THEOREM authKW 212319 1% 80% 4
4 PRIMITIVE ROOTS authKW 207632 3% 24% 13
5 ARTINS PRIMITIVE ROOT CONJECTURE authKW 199050 1% 100% 3
6 KOBLITZ CONJECTURE authKW 199050 1% 100% 3
7 REDUCTION MOD P OF ELLIPTIC CURVES authKW 199050 1% 100% 3
8 LANG TROTTER CONJECTURE authKW 184302 1% 56% 5
9 RESIDUAL ORDER authKW 176931 1% 67% 4
10 TITCHMARSH DIVISOR PROBLEM authKW 176931 1% 67% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 23415 95% 0% 449
2 Mathematics, Applied 530 14% 0% 68
3 Computer Science, Theory & Methods 0 1% 0% 4
4 Statistics & Probability 0 1% 0% 3
5 Chemistry, Applied -2 0% 0% 1
6 Mechanics -4 0% 0% 1
7 Food Science & Technology -4 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CENTREVILLE STN 66350 0% 100% 1
2 PIONEER GRP 66350 0% 100% 1
3 PIONIER GRP 66350 0% 100% 1
4 SERV CALCUL PARALLELE S C AD 66350 0% 100% 1
5 TELECOM FUNDAMENTALS 66350 0% 100% 1
6 TELECOMMUN FUNDAMENTAL 66350 0% 100% 1
7 SCI ENGN OFF MC 249 322 22115 0% 33% 1
8 EQUIPE GAATI 16586 0% 25% 1
9 WINS 13965 0% 11% 2
10 MATH COMP SCI EDUC 13266 0% 10% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF NUMBER THEORY 74908 16% 2% 74
2 ACTA ARITHMETICA 59025 11% 2% 54
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 39304 6% 2% 27
4 AMERICAN MATHEMATICAL MONTHLY 6899 4% 1% 17
5 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 4801 3% 1% 13
6 MATHEMATIKA 4750 2% 1% 8
7 MATHEMATICS OF COMPUTATION 4168 3% 0% 16
8 EXPERIMENTAL MATHEMATICS 3148 1% 1% 6
9 ARCHIV DER MATHEMATIK 2529 3% 0% 14
10 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 2466 2% 0% 11

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ARTINS CONJECTURE 236952 2% 36% 10 Search ARTINS+CONJECTURE Search ARTINS+CONJECTURE
2 CHEBOTAREV DENSITY THEOREM 223921 2% 38% 9 Search CHEBOTAREV+DENSITY+THEOREM Search CHEBOTAREV+DENSITY+THEOREM
3 BARBAN DAVENPORT HALBERSTAM THEOREM 212319 1% 80% 4 Search BARBAN+DAVENPORT+HALBERSTAM+THEOREM Search BARBAN+DAVENPORT+HALBERSTAM+THEOREM
4 PRIMITIVE ROOTS 207632 3% 24% 13 Search PRIMITIVE+ROOTS Search PRIMITIVE+ROOTS
5 ARTINS PRIMITIVE ROOT CONJECTURE 199050 1% 100% 3 Search ARTINS+PRIMITIVE+ROOT+CONJECTURE Search ARTINS+PRIMITIVE+ROOT+CONJECTURE
6 KOBLITZ CONJECTURE 199050 1% 100% 3 Search KOBLITZ+CONJECTURE Search KOBLITZ+CONJECTURE
7 REDUCTION MOD P OF ELLIPTIC CURVES 199050 1% 100% 3 Search REDUCTION+MOD+P+OF+ELLIPTIC+CURVES Search REDUCTION+MOD+P+OF+ELLIPTIC+CURVES
8 LANG TROTTER CONJECTURE 184302 1% 56% 5 Search LANG+TROTTER+CONJECTURE Search LANG+TROTTER+CONJECTURE
9 RESIDUAL ORDER 176931 1% 67% 4 Search RESIDUAL+ORDER Search RESIDUAL+ORDER
10 TITCHMARSH DIVISOR PROBLEM 176931 1% 67% 4 Search TITCHMARSH+DIVISOR+PROBLEM Search TITCHMARSH+DIVISOR+PROBLEM

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 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
2 22540 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
3 24238 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
4 15427 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
5 33389 ITERATION DIGRAPH//CARMICHAEL LAMBDA FUNCTION//CUBIC MAPPING GRAPH
6 33554 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
7 9935 ELLIPTIC CURVES//CONGRUENT NUMBERS//MODULAR CURVES
8 16948 SUM PRODUCT ESTIMATES//DISTINCT DISTANCES//PRODUCT SETS
9 29035 QUARTIC JACOBI SYMBOL//CUBIC CONGRUENCE//OCTIC RESIDUE
10 30223 PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS

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