Class information for:
Level 1: IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY

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
486 3       ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS//HAUSDORFF DIMENSION 24099
2336 2             COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION 4693
20995 1                   IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY 460

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IRRATIONALITY MEASURE authKW 945006 4% 69% 20
2 LINEAR INDEPENDENCE MEASURE authKW 548111 2% 100% 8
3 IRRATIONALITY authKW 429955 6% 22% 29
4 RAMANUJAN FUNCTIONS authKW 411083 1% 100% 6
5 ZETA VALUE authKW 352355 1% 86% 6
6 MEASURE OF IRRATIONALITY authKW 274051 1% 67% 6
7 ALGORITHM OF CREATIVE TELESCOPING authKW 205541 1% 100% 3
8 BAKERS THEORY OF LINEAR FORMS IN LOGARITHMS authKW 205541 1% 100% 3
9 E FUNCTIONS authKW 205541 1% 100% 3
10 NESTERENKO TYPE DIMENSION ESTIMATES authKW 205541 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 21957 93% 0% 428
2 Mathematics, Applied 386 13% 0% 58
3 Mechanics 82 6% 0% 26
4 Multidisciplinary Sciences 24 2% 0% 7
5 Statistics & Probability 4 1% 0% 6
6 Computer Science, Theory & Methods -0 1% 0% 3
7 Rheumatology -0 0% 0% 1
8 Computer Science, Software Engineering -1 0% 0% 1
9 Physics, Mathematical -2 0% 0% 1
10 Medicine, General & Internal -4 1% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CNRS FRE 2271 137028 0% 100% 2
2 EQUIPE ARITHMET GEOMETRIE ALGEBR 99651 1% 36% 4
3 CNRS UP A 5465 68514 0% 100% 1
4 HHOCH WIRT AFT 68514 0% 100% 1
5 UNITE MIXTE INT 3457 68514 0% 100% 1
6 FHDW HANNOVER 68512 0% 50% 2
7 HH WIRT AFT 54809 0% 40% 2
8 MATEMAATTISTEN TIETEIDEN LAITOS 34256 0% 50% 1
9 N O ME 30447 0% 22% 2
10 FOURIER 18793 3% 2% 15

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 44655 6% 3% 26
2 ACTA ARITHMETICA 33424 9% 1% 40
3 MATHEMATICAL NOTES 29583 10% 1% 47
4 JOURNAL OF NUMBER THEORY 18271 8% 1% 36
5 RAMANUJAN JOURNAL 14364 3% 1% 15
6 INTERNATIONAL JOURNAL OF NUMBER THEORY 8004 3% 1% 12
7 RUSSIAN MATHEMATICAL SURVEYS 7963 4% 1% 17
8 SBORNIK MATHEMATICS 3468 2% 1% 9
9 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES 2839 1% 1% 4
10 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 2553 1% 1% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 IRRATIONALITY MEASURE 945006 4% 69% 20 Search IRRATIONALITY+MEASURE Search IRRATIONALITY+MEASURE
2 LINEAR INDEPENDENCE MEASURE 548111 2% 100% 8 Search LINEAR+INDEPENDENCE+MEASURE Search LINEAR+INDEPENDENCE+MEASURE
3 IRRATIONALITY 429955 6% 22% 29 Search IRRATIONALITY Search IRRATIONALITY
4 RAMANUJAN FUNCTIONS 411083 1% 100% 6 Search RAMANUJAN+FUNCTIONS Search RAMANUJAN+FUNCTIONS
5 ZETA VALUE 352355 1% 86% 6 Search ZETA+VALUE Search ZETA+VALUE
6 MEASURE OF IRRATIONALITY 274051 1% 67% 6 Search MEASURE+OF+IRRATIONALITY Search MEASURE+OF+IRRATIONALITY
7 ALGORITHM OF CREATIVE TELESCOPING 205541 1% 100% 3 Search ALGORITHM+OF+CREATIVE+TELESCOPING Search ALGORITHM+OF+CREATIVE+TELESCOPING
8 BAKERS THEORY OF LINEAR FORMS IN LOGARITHMS 205541 1% 100% 3 Search BAKERS+THEORY+OF+LINEAR+FORMS+IN+LOGARITHMS Search BAKERS+THEORY+OF+LINEAR+FORMS+IN+LOGARITHMS
9 E FUNCTIONS 205541 1% 100% 3 Search E+FUNCTIONS Search E+FUNCTIONS
10 NESTERENKO TYPE DIMENSION ESTIMATES 205541 1% 100% 3 Search NESTERENKO+TYPE+DIMENSION+ESTIMATES Search NESTERENKO+TYPE+DIMENSION+ESTIMATES

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 34839 INTEGER VALUED ENTIRE FUNCTION//WARINGS PROBLEM//RECURRENT STEP EQUATIONS
2 23227 MAHLERS METHOD//ALGEBRAIC INDEPENDENCE//MAHLER FUNCTION
3 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
4 11606 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ZILBER PINK CONJECTURE
5 24801 CONTINUED FRACTIONS//Q CONTINUED FRACTION//BAUER MUIR TRANSFORMATION
6 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
7 20719 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
8 24144 LPTHIRM//WHEATSTONE PHYS//IAESB
9 14734 SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS
10 11953 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION

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