Class information for:
Level 1: QUARTIC JACOBI SYMBOL//CUBIC CONGRUENCE//OCTIC RESIDUE

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
29035 1                   QUARTIC JACOBI SYMBOL//CUBIC CONGRUENCE//OCTIC RESIDUE 212

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 QUARTIC JACOBI SYMBOL authKW 891986 3% 100% 6
2 CUBIC CONGRUENCE authKW 445993 1% 100% 3
3 OCTIC RESIDUE authKW 445993 1% 100% 3
4 BINARY QUADRATIC FORM authKW 380570 4% 32% 8
5 DICKSONS SYSTEM authKW 297329 1% 100% 2
6 FUNCTIONAL EQUATIONS IN DEGREE ONE authKW 297329 1% 100% 2
7 REDEI REICHARDT THEOREM authKW 297329 1% 100% 2
8 QUARTIC RESIDUE authKW 222994 1% 50% 3
9 LUCAS SEQUENCE authKW 202337 3% 19% 7
10 NEGATIVE PELL EQUATION authKW 198218 1% 67% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 10093 93% 0% 197
2 Mathematics, Applied 167 12% 0% 26
3 Statistics & Probability 6 2% 0% 4
4 Computer Science, Theory & Methods 1 1% 0% 3
5 Engineering, Electrical & Electronic -5 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTUARIAL ECON SERV 24776 0% 17% 1
2 RAYMOND BEVERLY SACKLER MATH SCI 1580 0% 1% 1
3 ALGEBRA NUMBER THEORY 1509 1% 1% 2
4 MATH 859 25% 0% 52
5 ALGEBRA GEOMETRIA 467 0% 0% 1
6 MATH INTERDISCIPLINARY SCI 397 0% 0% 1
7 SHANGHAI INTELLIGENT INFORMAT PROC 380 0% 0% 1
8 LIX 355 0% 0% 1
9 MATH SIMION STOILOW 287 0% 0% 1
10 MATH SCI 269 6% 0% 13

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 55589 17% 1% 35
2 JOURNAL OF NUMBER THEORY 41968 17% 1% 37
3 PACIFIC JOURNAL OF MATHEMATICS 7190 7% 0% 15
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 5913 3% 1% 7
5 MANUSCRIPTA MATHEMATICA 5446 5% 0% 11
6 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 5294 4% 0% 9
7 MATHEMATICS OF COMPUTATION 2337 4% 0% 8
8 CONTRIBUTIONS TO DISCRETE MATHEMATICS 1833 0% 1% 1
9 FIBONACCI QUARTERLY 1693 2% 0% 4
10 FINITE FIELDS AND THEIR APPLICATIONS 1228 1% 0% 3

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 QUARTIC JACOBI SYMBOL 891986 3% 100% 6 Search QUARTIC+JACOBI+SYMBOL Search QUARTIC+JACOBI+SYMBOL
2 CUBIC CONGRUENCE 445993 1% 100% 3 Search CUBIC+CONGRUENCE Search CUBIC+CONGRUENCE
3 OCTIC RESIDUE 445993 1% 100% 3 Search OCTIC+RESIDUE Search OCTIC+RESIDUE
4 BINARY QUADRATIC FORM 380570 4% 32% 8 Search BINARY+QUADRATIC+FORM Search BINARY+QUADRATIC+FORM
5 DICKSONS SYSTEM 297329 1% 100% 2 Search DICKSONS+SYSTEM Search DICKSONS+SYSTEM
6 FUNCTIONAL EQUATIONS IN DEGREE ONE 297329 1% 100% 2 Search FUNCTIONAL+EQUATIONS+IN+DEGREE+ONE Search FUNCTIONAL+EQUATIONS+IN+DEGREE+ONE
7 REDEI REICHARDT THEOREM 297329 1% 100% 2 Search REDEI+REICHARDT+THEOREM Search REDEI+REICHARDT+THEOREM
8 QUARTIC RESIDUE 222994 1% 50% 3 Search QUARTIC+RESIDUE Search QUARTIC+RESIDUE
9 LUCAS SEQUENCE 202337 3% 19% 7 Search LUCAS+SEQUENCE Search LUCAS+SEQUENCE
10 NEGATIVE PELL EQUATION 198218 1% 67% 2 Search NEGATIVE+PELL+EQUATION Search NEGATIVE+PELL+EQUATION

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 24595 DIAGONAL EQUATION//GAUSS SUM//EQUATION IN A FINITE FIELD
2 14909 CLASS NUMBER//RELATIVE CLASS NUMBER//CM FIELD
3 14734 SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS
4 24238 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
5 34839 INTEGER VALUED ENTIRE FUNCTION//WARINGS PROBLEM//RECURRENT STEP EQUATIONS
6 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM
7 23227 MAHLERS METHOD//ALGEBRAIC INDEPENDENCE//MAHLER FUNCTION
8 6804 TAME KERNEL//CLASS GROUP//IWASAWA THEORY
9 6453 PERMUTATION POLYNOMIAL//BENT FUNCTION//RELATIVE DIFFERENCE SET
10 15427 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES

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