Class information for:
Level 1: CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD

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
1976 2             RIEMANN ZETA FUNCTION//MULTIPLE ZETA VALUES//ACTA ARITHMETICA 6008
10665 1                   CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD 1074

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CIRCLE METHOD authKW 2034621 10% 67% 103
2 WARING GOLDBACH PROBLEM authKW 1379750 4% 98% 48
3 HARDY LITTLEWOOD METHOD authKW 845084 3% 80% 36
4 SIEVE METHODS authKW 689530 4% 50% 47
5 ALMOST PRIMES authKW 312989 1% 67% 16
6 FORMS IN MANY VARIABLES authKW 293437 1% 100% 10
7 GOLDBACH PROBLEM authKW 281695 1% 80% 12
8 GOLDBACH TYPE THEOREMS authKW 264093 1% 100% 9
9 DIOPHANTINE INEQUALITIES authKW 242278 2% 49% 17
10 EXPONENTIAL SUMS OVER PRIMES authKW 225716 1% 77% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 56594 98% 0% 1049
2 Mathematics, Applied 865 12% 0% 133
3 Multidisciplinary Sciences 93 2% 0% 20
4 Statistics & Probability -0 0% 0% 5
5 Computer Science, Information Systems -5 0% 0% 1
6 Mechanics -6 0% 0% 4
7 Computer Science, Theory & Methods -6 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 A JURAEV MATH 29344 0% 100% 1
2 CICLO BASICO COMAN 29344 0% 100% 1
3 DIPARTIMENTO MATEMAT E PL R CACCIOPPOLI 29344 0% 100% 1
4 DOKL ROSS AKAD NAUK 29344 0% 100% 1
5 DZHURAEV MATH 29344 0% 100% 1
6 EX CEMPI 29344 0% 100% 1
7 KARIN HALUPCZOK 29344 0% 100% 1
8 MATH A 25057 2% 5% 17
9 ALGEBRA ZAHLENTHEORIE 25026 1% 11% 8
10 DESARROLLO HUMANO 19159 1% 9% 7

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 212395 14% 5% 154
2 MATHEMATIKA 92410 5% 6% 53
3 JOURNAL OF NUMBER THEORY 66623 10% 2% 105
4 QUARTERLY JOURNAL OF MATHEMATICS 27367 3% 3% 37
5 MONATSHEFTE FUR MATHEMATIK 25403 4% 2% 45
6 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 16456 3% 2% 34
7 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 16164 4% 1% 45
8 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 13489 4% 1% 41
9 INTERNATIONAL JOURNAL OF NUMBER THEORY 10488 2% 2% 21
10 ACTA MATHEMATICA HUNGARICA 8174 3% 1% 29

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CIRCLE METHOD 2034621 10% 67% 103 Search CIRCLE+METHOD Search CIRCLE+METHOD
2 WARING GOLDBACH PROBLEM 1379750 4% 98% 48 Search WARING+GOLDBACH+PROBLEM Search WARING+GOLDBACH+PROBLEM
3 HARDY LITTLEWOOD METHOD 845084 3% 80% 36 Search HARDY+LITTLEWOOD+METHOD Search HARDY+LITTLEWOOD+METHOD
4 SIEVE METHODS 689530 4% 50% 47 Search SIEVE+METHODS Search SIEVE+METHODS
5 ALMOST PRIMES 312989 1% 67% 16 Search ALMOST+PRIMES Search ALMOST+PRIMES
6 FORMS IN MANY VARIABLES 293437 1% 100% 10 Search FORMS+IN+MANY+VARIABLES Search FORMS+IN+MANY+VARIABLES
7 GOLDBACH PROBLEM 281695 1% 80% 12 Search GOLDBACH+PROBLEM Search GOLDBACH+PROBLEM
8 GOLDBACH TYPE THEOREMS 264093 1% 100% 9 Search GOLDBACH+TYPE+THEOREMS Search GOLDBACH+TYPE+THEOREMS
9 DIOPHANTINE INEQUALITIES 242278 2% 49% 17 Search DIOPHANTINE+INEQUALITIES Search DIOPHANTINE+INEQUALITIES
10 EXPONENTIAL SUMS OVER PRIMES 225716 1% 77% 10 Search EXPONENTIAL+SUMS+OVER+PRIMES Search EXPONENTIAL+SUMS+OVER+PRIMES

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 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
2 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
3 12566 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
4 14324 DEDEKIND SUMS//HYBRID MEAN VALUE//ASYMPTOTIC FORMULA
5 18944 BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS
6 34839 INTEGER VALUED ENTIRE FUNCTION//WARINGS PROBLEM//RECURRENT STEP EQUATIONS
7 9920 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
8 29241 COVERING SYSTEMS//COVERING CONGRUENCES//SUMS OF PRIME POWERS
9 33243 SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD
10 20145 SUM OF DIGITS FUNCTION//SUM OF DIGITS//DIGITAL EXPANSIONS

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