Class information for:
Level 1: SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22938 363 22.1 26%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
127 2             PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION//SOLITON SOLUTION 23959
22938 1                   SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS 363

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 SIGMA FUNCTION authKW 710794 4% 65% 13
2 ELLIPTIC SOLITONS authKW 538357 2% 80% 8
3 ABELIAN FUNCTIONS authKW 494808 3% 59% 10
4 KLEINIAN SIGMA FUNCTION authKW 269178 1% 80% 4
5 FINITE GAP POTENTIALS authKW 262867 1% 63% 5
6 CYCLIC TRIGONAL CURVE authKW 168237 1% 100% 2
7 LML EA2462 address 168237 1% 100% 2
8 TELESCOPIC CURVE authKW 168237 1% 100% 2
9 HYPERELLIPTIC FUNCTIONS authKW 134585 1% 40% 4
10 ARCHAOLOGISCHES NACHRICHTENBLATT journal 102566 3% 12% 10

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 6905 59% 0% 215
2 Physics, Mathematical 2860 25% 0% 91
3 Mathematics, Applied 1370 25% 0% 91
4 Archaeology 263 3% 0% 11
5 BIOLOGY, MISCELLANEOUS 215 1% 0% 2
6 MEDICINE, MISCELLANEOUS 209 1% 0% 2
7 Physics, Multidisciplinary 185 12% 0% 43
8 Multidisciplinary Sciences 80 3% 0% 10
9 Computer Science, Software Engineering 1 1% 0% 3
10 Education, Scientific Disciplines 0 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 LML EA2462 168237 1% 100% 2
2 MITTAG LEFFLER 89721 1% 27% 4
3 ABT BODENDENKMALPFLEGE 84119 0% 100% 1
4 FEDERAT CNRS NORD PAS DE CALAIS MATH LENSFR 84119 0% 100% 1
5 HOHENTUBINGEN 84119 0% 100% 1
6 INVEST PEDECIBA 84119 0% 100% 1
7 LEHRSTUHL URGE ICHTE FRUHGE ICHTE 84119 0% 100% 1
8 MATH LENSEA2462 84119 0% 100% 1
9 POITIERS 84119 0% 100% 1
10 SCI JEAN PERRINEA2462 84119 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 ARCHAOLOGISCHES NACHRICHTENBLATT 102566 3% 12% 10
2 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 32856 7% 2% 26
3 RUSSIAN MATHEMATICAL SURVEYS 19705 7% 1% 24
4 THEORETICAL AND MATHEMATICAL PHYSICS 5411 5% 0% 18
5 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 4485 2% 1% 8
6 LMS JOURNAL OF COMPUTATION AND MATHEMATICS 2951 1% 1% 3
7 COLLECTANEA MATHEMATICA 2569 1% 1% 3
8 MANUSCRIPTA MATHEMATICA 2089 2% 0% 9
9 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 1963 1% 0% 5
10 MATHEMATICS OF THE USSR-SBORNIK 1923 1% 1% 4

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 SIGMA FUNCTION 710794 4% 65% 13 Search SIGMA+FUNCTION Search SIGMA+FUNCTION
2 ELLIPTIC SOLITONS 538357 2% 80% 8 Search ELLIPTIC+SOLITONS Search ELLIPTIC+SOLITONS
3 ABELIAN FUNCTIONS 494808 3% 59% 10 Search ABELIAN+FUNCTIONS Search ABELIAN+FUNCTIONS
4 KLEINIAN SIGMA FUNCTION 269178 1% 80% 4 Search KLEINIAN+SIGMA+FUNCTION Search KLEINIAN+SIGMA+FUNCTION
5 FINITE GAP POTENTIALS 262867 1% 63% 5 Search FINITE+GAP+POTENTIALS Search FINITE+GAP+POTENTIALS
6 CYCLIC TRIGONAL CURVE 168237 1% 100% 2 Search CYCLIC+TRIGONAL+CURVE Search CYCLIC+TRIGONAL+CURVE
7 TELESCOPIC CURVE 168237 1% 100% 2 Search TELESCOPIC+CURVE Search TELESCOPIC+CURVE
8 HYPERELLIPTIC FUNCTIONS 134585 1% 40% 4 Search HYPERELLIPTIC+FUNCTIONS Search HYPERELLIPTIC+FUNCTIONS
9 FINITE GAP INTEGRATION 94630 1% 38% 3 Search FINITE+GAP+INTEGRATION Search FINITE+GAP+INTEGRATION
10 14H70 84119 0% 100% 1 Search 14H70 Search 14H70

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 GESZTESY, F , UNTERKOFLER, K , WEIKARD, R , (2006) AN EXPLICIT CHARACTERIZATION OF CALOGERO-MOSER SYSTEMS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 358. ISSUE 2. P. 603 -656 33 66% 9
2 ATHORNE, C , ENGLAND, M , (2012) GENERALISED ELLIPTIC FUNCTIONS.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 10. ISSUE 5. P. 1655 -1672 16 94% 0
3 GESZTESY, F , WEIKARD, R , (1998) ELLIPTIC ALGEBRO-GEOMETRIC SOLUTIONS OF THE KDV AND AKNS HIERARCHIES - AN ANALYTIC APPROACH.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 35. ISSUE 4. P. 271 -317 38 47% 42
4 GESZTESY, F , WEIKARD, R , (1998) A CHARACTERIZATION OF ALL ELLIPTIC ALGEBRO-GEOMETRIC SOLUTIONS OF THE AKNS HIERARCHY.ACTA MATHEMATICA. VOL. 181. ISSUE 1. P. 63 -108 28 67% 13
5 BUNKOVA, EY , BUCHSTABER, VM , (2009) HEAT EQUATIONS AND FAMILIES OF TWO-DIMENSIONAL SIGMA FUNCTIONS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 266. ISSUE 1. P. 1-28 15 83% 0
6 ENGLAND, M , ATHORNE, C , (2012) BUILDING ABELIAN FUNCTIONS WITH GENERALISED BAKER-HIROTA OPERATORS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 8. ISSUE . P. - 14 82% 0
7 HARNAD, J , ENOLSKI, VZ , (2011) SCHUR FUNCTION EXPANSIONS OF KP TAU-FUNCTIONS ASSOCIATED TO ALGEBRAIC CURVES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 4. P. 767 -807 13 87% 5
8 EILBECK, JC , ENGLAND, M , ONISHI, Y , (2011) ABELIAN FUNCTIONS ASSOCIATED WITH GENUS THREE ALGEBRAIC CURVES.LMS JOURNAL OF COMPUTATION AND MATHEMATICS. VOL. 14. ISSUE . P. 291 -326 12 92% 6
9 ENGLAND, M , (2011) DERIVING BASES FOR ABELIAN FUNCTIONS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 11. ISSUE 2. P. 617 -654 12 92% 1
10 AYANO, T , (2016) ON JACOBI INVERSION FORMULAE FOR TELESCOPIC CURVES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 12. ISSUE . P. - 10 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 27268 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS
2 37275 MODEL OF NEUROMEMBRANE//OPT INTEGRATED CIRCUIT DESIGN//OSCILLATOR LIKE INDEX OF REFRACTION
3 8784 FROBENIUS MANIFOLDS//WHITHAM EQUATIONS//HYDRODYNAMIC REDUCTIONS
4 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
5 7969 CALOGERO SUTHERLAND MODEL//CALOGERO MOSER SYSTEM//HALDANE SHASTRY SPIN CHAIN
6 4300 INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA
7 12789 MATEMAT FUNDAMENTALES//KLEIN SURFACES//RIEMANN SURFACE
8 13977 HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS
9 31537 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
10 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS

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