Class information for:
Level 2: MAHLER MEASURE//HILBERTS TENTH PROBLEM//INTEGER TRANSFINITE DIAMETER

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
3401 1166 14.7 31%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
238 43607 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//INTERNATIONAL JOURNAL OF NUMBER THEORY

Classes in level below (level 1)



ID, lev. below Publications Label for level below
18817 469 MAHLER MEASURE//INTEGER TRANSFINITE DIAMETER//WEIL HEIGHT
25874 222 HILBERTS TENTH PROBLEM//BUCHIS PROBLEM//DIOPHANTINE DEFINITION
27025 197 TERNARY CYCLOTOMIC POLYNOMIAL//COMPLEX PERTURBATION//POLARIZATION CONSTANT
29848 146 SIEGELS LEMMA//HERMITE CONSTANT//PROD POWER ENGN
30808 132 ORTHOCENTRIC SIMPLEX//IC COLORING//IC INDEX

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 MAHLER MEASURE Author keyword 81 65% 7% 77
2 HILBERTS TENTH PROBLEM Author keyword 27 62% 2% 28
3 INTEGER TRANSFINITE DIAMETER Author keyword 23 100% 1% 10
4 WEIL HEIGHT Author keyword 23 76% 1% 16
5 LEHMERS PROBLEM Author keyword 23 72% 2% 18
6 TERNARY CYCLOTOMIC POLYNOMIAL Author keyword 20 100% 1% 9
7 BUCHIS PROBLEM Author keyword 12 86% 1% 6
8 EXPLICIT AUXILIARY FUNCTION Author keyword 11 100% 1% 6
9 ORTHOCENTRIC SIMPLEX Author keyword 9 83% 0% 5
10 SALEM NUMBERS Author keyword 8 56% 1% 10

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 MAHLER MEASURE 81 65% 7% 77 Search MAHLER+MEASURE Search MAHLER+MEASURE
2 HILBERTS TENTH PROBLEM 27 62% 2% 28 Search HILBERTS+TENTH+PROBLEM Search HILBERTS+TENTH+PROBLEM
3 INTEGER TRANSFINITE DIAMETER 23 100% 1% 10 Search INTEGER+TRANSFINITE+DIAMETER Search INTEGER+TRANSFINITE+DIAMETER
4 WEIL HEIGHT 23 76% 1% 16 Search WEIL+HEIGHT Search WEIL+HEIGHT
5 LEHMERS PROBLEM 23 72% 2% 18 Search LEHMERS+PROBLEM Search LEHMERS+PROBLEM
6 TERNARY CYCLOTOMIC POLYNOMIAL 20 100% 1% 9 Search TERNARY+CYCLOTOMIC+POLYNOMIAL Search TERNARY+CYCLOTOMIC+POLYNOMIAL
7 BUCHIS PROBLEM 12 86% 1% 6 Search BUCHIS+PROBLEM Search BUCHIS+PROBLEM
8 EXPLICIT AUXILIARY FUNCTION 11 100% 1% 6 Search EXPLICIT+AUXILIARY+FUNCTION Search EXPLICIT+AUXILIARY+FUNCTION
9 ORTHOCENTRIC SIMPLEX 9 83% 0% 5 Search ORTHOCENTRIC+SIMPLEX Search ORTHOCENTRIC+SIMPLEX
10 SALEM NUMBERS 8 56% 1% 10 Search SALEM+NUMBERS Search SALEM+NUMBERS

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 HILBERTS 10TH PROBLEM 31 74% 2% 23
2 DIOPHANTINE UNDECIDABILITY 30 100% 1% 12
3 HILBERT 10TH PROBLEM 20 100% 1% 9
4 SIEGELS LEMMA 18 83% 1% 10
5 RECIPROCAL POLYNOMIALS 15 62% 1% 16
6 10TH PROBLEM 15 77% 1% 10
7 POSITIVE ALGEBRAIC INTEGERS 15 88% 1% 7
8 DIOPHANTINE DEFINABILITY 14 100% 1% 7
9 INFINITE FIELDS 14 100% 1% 7
10 SALEM NUMBERS 10 46% 1% 16

Journals

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
A list of arithmetical structures complete with respect to the first-order definability 2001 4 28 68%
Definability, decidability, complexity 1996 4 6 83%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ.
in class
1 CNRSUMR 7122 4 75% 0.3% 3
2 PROD POWER ENGN 4 75% 0.3% 3
3 VAKGRP KWANTITAT TECH 1 100% 0.2% 2
4 MATH BERNOULLI 1 33% 0.3% 3
5 UFR MIM 1 11% 0.8% 9
6 EQUIPE MATH PL 1 29% 0.2% 2
7 IECL 1 15% 0.3% 4
8 EQUIPE ARITHMET 1 25% 0.2% 2
9 CNRS UMR 7122 0 25% 0.1% 1
10 CNRSURA 399 0 25% 0.1% 1

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000021496 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//IWASAWA THEORY
2 0.0000013372 HAUSDORFF DIMENSION//COMBINATORICS ON WORDS//OPEN SET CONDITION
3 0.0000012225 JOURNAL OF SYMBOLIC COMPUTATION//IMPLICITIZATION//MU BASIS
4 0.0000012136 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD CLOSED SET
5 0.0000011896 RAMANUJAN JOURNAL//Q SERIES//BASIC HYPERGEOMETRIC SERIES
6 0.0000009588 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//CIRCLE METHOD
7 0.0000009130 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//SOBOLEV ORTHOGONAL POLYNOMIALS
8 0.0000008713 DISCRETE TOMOGRAPHY//PARIKH MATRIX//SCATTERED SUBWORD
9 0.0000007906 CONVEX BODY//STAR BODY//CONVEX BODIES
10 0.0000007365 MATH INVEST CRYSTALLOG MINERAL PETROG//DIHEDRAL F TILINGS//PLATINUM GRP ELEMENTS ORE GENESIS