Class information for:
Level 1: MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION

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
3714 2             MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION 1196
17822 1                   MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION 608

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MAHLER MEASURE authKW 2446648 13% 58% 81
2 SALEM NUMBERS authKW 716796 4% 63% 22
3 EXPLICIT AUXILIARY FUNCTION authKW 673863 2% 100% 13
4 LEHMERS PROBLEM authKW 554821 3% 63% 17
5 INTEGER TRANSFINITE DIAMETER authKW 471231 2% 91% 10
6 PISOT NUMBERS authKW 379764 5% 26% 28
7 ALGEBRAIC INTEGER authKW 287967 2% 56% 10
8 WEIL HEIGHT authKW 272689 2% 48% 11
9 METRIC MAHLER MEASURE authKW 259178 1% 100% 5
10 UER 48 EQUIPE RECH 294 address 207342 1% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 25310 87% 0% 529
2 Mathematics, Applied 1092 18% 0% 108
3 Computer Science, Theory & Methods 36 3% 0% 17
4 Multidisciplinary Sciences 6 1% 0% 5
5 Logic 2 0% 0% 1
6 Physics, Mathematical 1 1% 0% 7
7 Computer Science, Interdisciplinary Applications 1 1% 0% 6
8 Computer Science, Cybernetics 0 0% 0% 1
9 Statistics & Probability -0 0% 0% 3
10 Mathematics, Interdisciplinary Applications -0 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UER 48 EQUIPE RECH 294 207342 1% 100% 4
2 CNRSUMR 7122 116629 0% 75% 3
3 UFR MIM 54546 2% 11% 10
4 CNRSUMR 7586UNIV PARIS DIDEROTSORBONNE PARIS C 51836 0% 100% 1
5 EQUIPE RECH 294 UER 48 51836 0% 100% 1
6 IECLUFR MIM 51836 0% 100% 1
7 IECLUMR CNRS 7502CS 50128 51836 0% 100% 1
8 INFORMAT PARALLEELISME 51836 0% 100% 1
9 MATH SATIST 51836 0% 100% 1
10 MATH UR11ES50 51836 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 60776 10% 2% 62
2 JOURNAL OF NUMBER THEORY 29973 9% 1% 53
3 RAMANUJAN JOURNAL 19320 3% 2% 20
4 MATHEMATICS OF COMPUTATION 18434 6% 1% 38
5 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 10526 1% 3% 7
6 EXPERIMENTAL MATHEMATICS 9850 2% 2% 12
7 CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 6309 3% 1% 17
8 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 4130 1% 2% 5
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 3494 4% 0% 24
10 INTERNATIONAL JOURNAL OF NUMBER THEORY 3398 1% 1% 9

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MAHLER MEASURE 2446648 13% 58% 81 Search MAHLER+MEASURE Search MAHLER+MEASURE
2 SALEM NUMBERS 716796 4% 63% 22 Search SALEM+NUMBERS Search SALEM+NUMBERS
3 EXPLICIT AUXILIARY FUNCTION 673863 2% 100% 13 Search EXPLICIT+AUXILIARY+FUNCTION Search EXPLICIT+AUXILIARY+FUNCTION
4 LEHMERS PROBLEM 554821 3% 63% 17 Search LEHMERS+PROBLEM Search LEHMERS+PROBLEM
5 INTEGER TRANSFINITE DIAMETER 471231 2% 91% 10 Search INTEGER+TRANSFINITE+DIAMETER Search INTEGER+TRANSFINITE+DIAMETER
6 PISOT NUMBERS 379764 5% 26% 28 Search PISOT+NUMBERS Search PISOT+NUMBERS
7 ALGEBRAIC INTEGER 287967 2% 56% 10 Search ALGEBRAIC+INTEGER Search ALGEBRAIC+INTEGER
8 WEIL HEIGHT 272689 2% 48% 11 Search WEIL+HEIGHT Search WEIL+HEIGHT
9 METRIC MAHLER MEASURE 259178 1% 100% 5 Search METRIC+MAHLER+MEASURE Search METRIC+MAHLER+MEASURE
10 MAHLERS MEASURE 207338 1% 67% 6 Search MAHLERS+MEASURE Search MAHLERS+MEASURE

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 29153 TERNARY CYCLOTOMIC POLYNOMIAL//FLAT CYCLOTOMIC POLYNOMIAL//BOMBIERIS NORM
2 23483 LITTLEWOOD POLYNOMIALS//MERIT FACTOR//FEKETE POLYNOMIALS
3 11606 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ZILBER PINK CONJECTURE
4 28911 3X1 PROBLEM//COLLATZ CONJECTURE//COLLATZ PROBLEM
5 9270 BETA EXPANSION//PISOT NUMBERS//CANONICAL NUMBER SYSTEM
6 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
7 31984 PACKING CHROMATIC NUMBER//DISTANCE GRAPH//TOEPLITZ GRAPH
8 19456 SOFIC GROUPS//ALGEBRAIC ENTROPY//ALGEBRAIC ACTION
9 24144 LPTHIRM//WHEATSTONE PHYS//IAESB
10 11527 DIOPHANTINE APPROXIMATION//FORMAL LAURENT SERIES//METRIC DIOPHANTINE APPROXIMATION

Go to start page