Class information for:
Level 1: MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14479 767 13.7 31%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
3266 2             MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS 1935
14479 1                   MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE 767

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MAHLERS METHOD authKW 756391 2% 100% 19
2 IRRATIONALITY MEASURE authKW 713623 3% 81% 22
3 ALGEBRAIC INDEPENDENCE authKW 538802 4% 44% 31
4 IRRATIONALITY authKW 497570 5% 31% 40
5 LINEAR INDEPENDENCE MEASURE authKW 318480 1% 100% 8
6 MEASURE OF IRRATIONALITY authKW 318480 1% 100% 8
7 MAHLER FUNCTION authKW 268713 1% 75% 9
8 EXPRESSIBLE SET authKW 238860 1% 100% 6
9 STERN DIATOMIC SEQUENCE authKW 238860 1% 100% 6
10 ZETA VALUE authKW 204736 1% 86% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 37576 94% 0% 721
2 Mathematics, Applied 664 13% 0% 98
3 Mechanics 38 4% 0% 27
4 Multidisciplinary Sciences 16 1% 0% 8
5 Statistics & Probability 7 1% 0% 10
6 Logic 1 0% 0% 1
7 Computer Science, Theory & Methods 0 1% 0% 6
8 Computer Science, Software Engineering 0 1% 0% 4
9 Physics, Mathematical -1 1% 0% 4
10 Rheumatology -1 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 HH WIRT AFT 199050 1% 100% 5
2 PLICAT FUZZY MODELING 124581 3% 13% 24
3 UO 100756 1% 28% 9
4 CNRS FRE 2271 79620 0% 100% 2
5 MATEMAATTISTEN TIETEIDEN LAITOS 79620 0% 100% 2
6 EQUIPE ARITHMET GEOMETRIE ALGEBR 57900 1% 36% 4
7 CHINESE MATH SYST SCI 39810 0% 100% 1
8 CNRS UP A 5465 39810 0% 100% 1
9 HHOCH WIRT AFT 39810 0% 100% 1
10 MATMAT LAITOS 39810 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ACTA ARITHMETICA 81211 11% 3% 81
2 JOURNAL OF NUMBER THEORY 47630 10% 2% 75
3 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 28042 4% 3% 27
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 22167 3% 2% 25
5 MATHEMATICAL NOTES 20742 7% 1% 51
6 RAMANUJAN JOURNAL 13916 2% 2% 19
7 RUSSIAN MATHEMATICAL SURVEYS 5223 2% 1% 18
8 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 4663 1% 2% 5
9 MONATSHEFTE FUR MATHEMATIK 4480 2% 1% 16
10 INDAGATIONES MATHEMATICAE-NEW SERIES 3300 1% 1% 10

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MAHLERS METHOD 756391 2% 100% 19 Search MAHLERS+METHOD Search MAHLERS+METHOD
2 IRRATIONALITY MEASURE 713623 3% 81% 22 Search IRRATIONALITY+MEASURE Search IRRATIONALITY+MEASURE
3 ALGEBRAIC INDEPENDENCE 538802 4% 44% 31 Search ALGEBRAIC+INDEPENDENCE Search ALGEBRAIC+INDEPENDENCE
4 IRRATIONALITY 497570 5% 31% 40 Search IRRATIONALITY Search IRRATIONALITY
5 LINEAR INDEPENDENCE MEASURE 318480 1% 100% 8 Search LINEAR+INDEPENDENCE+MEASURE Search LINEAR+INDEPENDENCE+MEASURE
6 MEASURE OF IRRATIONALITY 318480 1% 100% 8 Search MEASURE+OF+IRRATIONALITY Search MEASURE+OF+IRRATIONALITY
7 MAHLER FUNCTION 268713 1% 75% 9 Search MAHLER+FUNCTION Search MAHLER+FUNCTION
8 EXPRESSIBLE SET 238860 1% 100% 6 Search EXPRESSIBLE+SET Search EXPRESSIBLE+SET
9 STERN DIATOMIC SEQUENCE 238860 1% 100% 6 Search STERN+DIATOMIC+SEQUENCE Search STERN+DIATOMIC+SEQUENCE
10 ZETA VALUE 204736 1% 86% 6 Search ZETA+VALUE Search ZETA+VALUE

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 ZUDILIN, W , (2011) ARITHMETIC HYPERGEOMETRIC SERIES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 2. P. 369 -420 36 45% 5
2 NATHANSON, MB , (2017) FREE MONOIDS AND FORESTS OF RATIONAL NUMBERS.DISCRETE APPLIED MATHEMATICS. VOL. 216. ISSUE . P. 662 -669 8 100% 1
3 VAN ASSCHE, W , (2010) HERMITE-PADE RATIONAL APPROXIMATION TO IRRATIONAL NUMBERS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 10. ISSUE 2. P. 585-602 15 100% 0
4 FISCHLER, S , RIVOAL, T , (2016) MULTIPLE ZETA VALUES, PADE APPROXIMATION AND VASILYEV'S CONJECTURE.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 15. ISSUE . P. 1 -24 13 100% 0
5 NATHANSON, MB , (2017) FORESTS OF COMPLEX NUMBERS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 13. ISSUE 1. P. 15 -25 7 100% 1
6 MATALA-AHO, T , MERILA, V , (2009) ON DIOPHANTINE APPROXIMATIONS OF RAMANUJAN TYPE Q-CONTINUED FRACTIONS.JOURNAL OF NUMBER THEORY. VOL. 129. ISSUE 5. P. 1044-1055 14 93% 2
7 COUSSEMENT, J , SMET, C , (2009) IRRATIONALITY PROOF OF CERTAIN LAMBERT SERIES USING LITTLE Q-JACOBI POLYNOMIALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 233. ISSUE 3. P. 680-690 13 100% 1
8 BUNDSCHUH, P , VAANANEN, K , (2015) ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 98. ISSUE 3. P. 289 -310 11 100% 0
9 DAUGUET, S , (2015) QUANTITAVE GENERALIZATIONS OF NESTERENKOS'S LINEAR INDEPENDENCE CRITERIA.JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX. VOL. 27. ISSUE 2. P. 483 -498 11 100% 0
10 MERILA, V , (2011) A NONVANISHING LEMMA FOR CERTAIN PADE APPROXIMATIONS OF THE SECOND KIND.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 7. ISSUE 8. P. 1977-1997 12 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 35085 INTEGER VALUED ENTIRE FUNCTION//RECURRENT STEP EQUATIONS//ABEL ARITHMETIC FUNCTIONS
2 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
3 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
4 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
5 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
6 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
7 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
8 28866 NOWHERE DIFFERENTIABLE FUNCTION//SINGULAR FUNCTIONS//TAKAGIS FUNCTION
9 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
10 5684 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS

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