Class information for:
Level 1: POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
34546 110 11.3 32%


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
34546 1                   POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS 110

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 POLYNOMIAL KNOTS authKW 1387982 5% 100% 5
2 CHEBYSHEV CURVES authKW 1110386 4% 100% 4
3 LISSAJOUS KNOTS authKW 832789 3% 100% 3
4 POLYNOMIAL CURVES authKW 713813 5% 43% 6
5 TWO BRIDGE KNOTS authKW 634503 4% 57% 4
6 FOURIER KNOT authKW 555193 2% 100% 2
7 KUMMER SYSTEM OF CONGRUENCES authKW 555193 2% 100% 2
8 RATIONAL KNOTS authKW 499671 3% 60% 3
9 BILLIARD KNOTS authKW 277596 1% 100% 1
10 CATALAN CURVE authKW 277596 1% 100% 1

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 5346 94% 0% 103
2 Mathematics, Applied 94 13% 0% 14
3 Computer Science, Theory & Methods 22 5% 0% 5
4 Computer Science, Interdisciplinary Applications 2 2% 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 INRIA PARIS ROCQUENCOURT OURAGAN 277596 1% 100% 1
2 INRIA PARIS ROCQUENCOURT SALSA 277596 1% 100% 1
3 LMPT UMR CNRS 7750 277596 1% 100% 1
4 IMJ PRG 10675 1% 4% 1
5 CNRS UMR 7586 7709 1% 3% 1
6 INRIA PARIS ROCQUENCOURT 7116 1% 3% 1
7 UMR 7606 6452 2% 1% 2
8 MATH LAURENT WARTZ 5020 2% 1% 2
9 INFORMAT PARIS 6 2412 1% 1% 1
10 UMR 7586 2099 2% 0% 2

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 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 35006 8% 1% 9
2 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 31716 13% 1% 14
3 ACTA ARITHMETICA 27983 16% 1% 18
4 JOURNAL OF NUMBER THEORY 13296 14% 0% 15
5 MATHEMATIKA 2879 3% 0% 3
6 MONATSHEFTE FUR MATHEMATIK 1958 4% 0% 4
7 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 1825 2% 0% 2
8 EXPERIMENTAL MATHEMATICS 1525 2% 0% 2
9 MANUSCRIPTA MATHEMATICA 1365 4% 0% 4
10 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 1104 3% 0% 3

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 POLYNOMIAL KNOTS 1387982 5% 100% 5 Search POLYNOMIAL+KNOTS Search POLYNOMIAL+KNOTS
2 CHEBYSHEV CURVES 1110386 4% 100% 4 Search CHEBYSHEV+CURVES Search CHEBYSHEV+CURVES
3 LISSAJOUS KNOTS 832789 3% 100% 3 Search LISSAJOUS+KNOTS Search LISSAJOUS+KNOTS
4 POLYNOMIAL CURVES 713813 5% 43% 6 Search POLYNOMIAL+CURVES Search POLYNOMIAL+CURVES
5 TWO BRIDGE KNOTS 634503 4% 57% 4 Search TWO+BRIDGE+KNOTS Search TWO+BRIDGE+KNOTS
6 FOURIER KNOT 555193 2% 100% 2 Search FOURIER+KNOT Search FOURIER+KNOT
7 KUMMER SYSTEM OF CONGRUENCES 555193 2% 100% 2 Search KUMMER+SYSTEM+OF+CONGRUENCES Search KUMMER+SYSTEM+OF+CONGRUENCES
8 RATIONAL KNOTS 499671 3% 60% 3 Search RATIONAL+KNOTS Search RATIONAL+KNOTS
9 BILLIARD KNOTS 277596 1% 100% 1 Search BILLIARD+KNOTS Search BILLIARD+KNOTS
10 CATALAN CURVE 277596 1% 100% 1 Search CATALAN+CURVE Search CATALAN+CURVE

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 KUCERA, R , (2001) FORMULAE FOR THE RELATIVE CLASS NUMBER OF AN IMAGINARY ABELIAN FIELD IN THE FORM OF A DETERMINANT.NAGOYA MATHEMATICAL JOURNAL. VOL. 163. ISSUE . P. 167-191 15 88% 10
2 KOSELEFF, PV , PECKER, D , (2011) CHEBYSHEV KNOTS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 20. ISSUE 4. P. 575-593 9 90% 3
3 MISHRA, R , RAUNDAL, H , (2015) SPACES OF POLYNOMIAL KNOTS IN LOW DEGREE.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 24. ISSUE 14. P. - 9 82% 0
4 KOSELEFF, PV , PECKER, D , (2016) HARMONIC KNOTS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 25. ISSUE 13. P. - 7 100% 0
5 KANEMITSU, S , KUZUMAKI, T , (2007) ON A GENERALIZATION OF THE DEMJANENKO DETERMINANT.ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. VOL. 77. ISSUE . P. 25-38 10 83% 0
6 BRUGALLE, E , KOSELEFF, PV , PECKER, D , (2016) ON THE LEXICOGRAPHIC DEGREE OF TWO-BRIDGE KNOTS.JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. VOL. 25. ISSUE 7. P. - 7 88% 0
7 ENDO, A , (2003) A GENERALIZATION OF THE MAILLET DETERMINANT AND THE DEMYANENKO MATRIX.ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. VOL. 73. ISSUE . P. 181-193 9 90% 1
8 HIRABAYASHI, M , (2008) A GENERALIZATION OF NEWMAN'S FORMULA.ARCHIV DER MATHEMATIK. VOL. 90. ISSUE 3. P. 223-229 7 100% 1
9 ENDO, A , (1996) THE RELATIVE CLASS NUMBER OF CERTAIN IMAGINARY ABELIAN NUMBER FIELDS OF ODD CONDUCTORS.PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES. VOL. 72. ISSUE 3. P. 64 -68 10 91% 1
10 KANEMITSU, S , KUZUMAKI, T , (2001) ON A GENERALIZATION OF THE MAILLET DETERMINANT II.ACTA ARITHMETICA. VOL. 99. ISSUE 4. P. 343 -361 9 82% 5

Classes with closest relation at Level 1


Rank Class id link
1 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
2 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
3 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA
4 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
5 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
6 25860 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
7 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
8 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER
9 27905 QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL
10 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL

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