Class information for:
Level 1: EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5025 1686 15.1 40%


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
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
5025 1                   EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS 1686

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 EXPONENTIAL DIOPHANTINE EQUATION authKW 1517587 5% 91% 92
2 DIOPHANTINE EQUATIONS authKW 1269790 11% 39% 180
3 LINEAR FORMS IN LOGARITHMS authKW 724633 3% 78% 51
4 DIOPHANTINE M TUPLES authKW 525755 2% 97% 30
5 THUE EQUATIONS authKW 478956 2% 73% 36
6 PELL EQUATION authKW 454325 2% 61% 41
7 NUMBER THEORY GRP address 405855 2% 55% 41
8 BAKERS METHOD authKW 368451 1% 88% 23
9 ACTA ARITHMETICA journal 321809 14% 7% 239
10 DIOPHANTINE TUPLES authKW 271641 1% 100% 15

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 80396 93% 0% 1564
2 Mathematics, Applied 2111 15% 0% 254
3 Computer Science, Theory & Methods 58 2% 0% 39
4 Statistics & Probability 1 1% 0% 12
5 Multidisciplinary Sciences -1 0% 0% 3
6 Mathematics, Interdisciplinary Applications -5 0% 0% 2
7 Computer Science, Software Engineering -7 0% 0% 1
8 Physics, Mathematical -9 0% 0% 2
9 Mechanics -17 0% 0% 1
10 Physics, Multidisciplinary -29 0% 0% 2

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 NUMBER THEORY GRP 405855 2% 55% 41
2 MTA DE GRP EQUAT FUNCT CURVES 161070 1% 68% 13
3 FDN MARCOS MOSHINSKY 46560 0% 43% 6
4 PROJET POLKA 40745 0% 75% 3
5 CUSANUS FOR 36219 0% 100% 2
6 MTADE GRP EQUAT FUNCT CURVES 36219 0% 100% 2
7 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THE 28850 1% 12% 13
8 MATH 27952 48% 0% 808
9 IMATE 20369 0% 38% 3
10 EQUIPE THEOR NOMB 18109 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 321809 14% 7% 239
2 PUBLICATIONES MATHEMATICAE-DEBRECEN 151025 8% 7% 127
3 JOURNAL OF NUMBER THEORY 145044 12% 4% 194
4 FIBONACCI QUARTERLY 89059 4% 7% 75
5 GLASNIK MATEMATICKI 70186 2% 12% 32
6 PERIODICA MATHEMATICA HUNGARICA 46809 2% 9% 29
7 INTERNATIONAL JOURNAL OF NUMBER THEORY 37162 3% 4% 48
8 INDAGATIONES MATHEMATICAE-NEW SERIES 31871 3% 4% 46
9 MATHEMATICS OF COMPUTATION 19194 4% 2% 65
10 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 10946 2% 2% 37

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 EXPONENTIAL DIOPHANTINE EQUATION 1517587 5% 91% 92 Search EXPONENTIAL+DIOPHANTINE+EQUATION Search EXPONENTIAL+DIOPHANTINE+EQUATION
2 DIOPHANTINE EQUATIONS 1269790 11% 39% 180 Search DIOPHANTINE+EQUATIONS Search DIOPHANTINE+EQUATIONS
3 LINEAR FORMS IN LOGARITHMS 724633 3% 78% 51 Search LINEAR+FORMS+IN+LOGARITHMS Search LINEAR+FORMS+IN+LOGARITHMS
4 DIOPHANTINE M TUPLES 525755 2% 97% 30 Search DIOPHANTINE+M+TUPLES Search DIOPHANTINE+M+TUPLES
5 THUE EQUATIONS 478956 2% 73% 36 Search THUE+EQUATIONS Search THUE+EQUATIONS
6 PELL EQUATION 454325 2% 61% 41 Search PELL+EQUATION Search PELL+EQUATION
7 BAKERS METHOD 368451 1% 88% 23 Search BAKERS+METHOD Search BAKERS+METHOD
8 DIOPHANTINE TUPLES 271641 1% 100% 15 Search DIOPHANTINE+TUPLES Search DIOPHANTINE+TUPLES
9 SIMULTANEOUS PELLIAN EQUATIONS 271641 1% 100% 15 Search SIMULTANEOUS+PELLIAN+EQUATIONS Search SIMULTANEOUS+PELLIAN+EQUATIONS
10 DIOPHANTINE QUADRUPLES 235422 1% 100% 13 Search DIOPHANTINE+QUADRUPLES Search DIOPHANTINE+QUADRUPLES

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 SHOREY, TN , (2006) DIOPHANTINE APPROXIMATIONS, DIOPHANTINE EQUATIONS, TRANSCENDENCE AND APPLICATIONS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 37. ISSUE 1. P. 9 -39 73 89% 3
2 BERCZES, A , PINK, I , (2014) ON GENERALIZED LEBESGUE-RAMANUJAN-NAGELL EQUATIONS.ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA. VOL. 22. ISSUE 1. P. 51 -71 46 94% 0
3 GYORY, K , KOVACS, T , PETER, G , PINTER, A , (2014) EQUAL VALUES OF STANDARD COUNTING POLYNOMIALS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 84. ISSUE 1-2. P. 259 -277 32 100% 2
4 KOVACS, T , LIPTAI, K , OLAJOS, P , (2010) ON (A, B)-BALANCING NUMBERS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 77. ISSUE 3-4. P. 485-498 29 91% 2
5 BENNETT, MA , CHEN, I , DAHMEN, SR , YAZDANI, S , (2015) GENERALIZED FERMAT EQUATIONS: A MISCELLANY.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 11. ISSUE 1. P. 1 -28 33 67% 1
6 HAJDU, L , LAISHRAM, S , TENGELY, S , (2016) POWER VALUES OF SUMS OF PRODUCTS OF CONSECUTIVE INTEGERS.ACTA ARITHMETICA. VOL. 172. ISSUE 4. P. 333 -349 23 96% 0
7 MARQUES, D , TROJOVSKY, P , (2016) TERMS OF GENERALIZED FIBONACCI SEQUENCES THAT ARE POWERS OF THEIR ORDERS.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 2. P. 219 -228 21 100% 0
8 SOLDO, I , (2013) ON THE EXTENSIBILITY OF D(-1)-TRIPLES {1, B, C} IN THE RING Z[ROOT-T], T > 0.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 50. ISSUE 3. P. 296 -330 22 100% 2
9 HE, B , TOGBE, A , (2011) ON THE D(-1)-TRIPLE {1, K(2)+1, K(2)+2K+2} AND ITS UNIQUE D(1)-EXTENSION.JOURNAL OF NUMBER THEORY. VOL. 131. ISSUE 1. P. 120 -137 23 100% 4
10 FUJITA, Y , (2009) EXTENSIONS OF THE D(-/+ K(2))-TRIPLES {K(2), K(2) +/- 1, 4K(2) +/- 1}.PERIODICA MATHEMATICA HUNGARICA. VOL. 59. ISSUE 1. P. 81 -98 24 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
2 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
3 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER
4 25105 VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM
5 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
6 14631 FIBONACCI QUARTERLY//FIBONACCI NUMBERS//LUCAS NUMBERS
7 29968 SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD
8 24944 COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS
9 25185 HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM
10 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD

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