Class information for:
Level 1: MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
1976 2             RIEMANN ZETA FUNCTION//MULTIPLE ZETA VALUES//ACTA ARITHMETICA 6008
26349 1                   MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION 278

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MULTIPLE SINE FUNCTION authKW 1999831 8% 84% 21
2 FIELD WITH ONE ELEMENT authKW 1030630 4% 91% 10
3 MULTIPLE GAMMA FUNCTION authKW 944732 5% 56% 15
4 DOUBLE SINE FUNCTION authKW 793586 3% 100% 7
5 ZETA REGULARIZED PRODUCT authKW 725562 3% 80% 8
6 F 1 GEOMETRY authKW 472371 2% 83% 5
7 BC SYSTEM authKW 340108 1% 100% 3
8 FIELD OF ONE ELEMENT authKW 340108 1% 100% 3
9 MULTIPLE TRIGONOMETRIC FUNCTION authKW 340108 1% 100% 3
10 SELBERG ZETA FUNCTION authKW 327950 3% 32% 9

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 13727 95% 0% 263
2 Mathematics, Applied 297 14% 0% 39
3 Physics, Mathematical 122 6% 0% 18
4 Computer Science, Artificial Intelligence -0 0% 0% 1
5 Physics, Multidisciplinary -4 0% 0% 1
6 Engineering, Electrical & Electronic -7 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UFR SCI TECHUMR 6085 226739 1% 100% 2
2 FRANCE 3 113369 0% 100% 1
3 KAWAIJUKU 113369 0% 100% 1
4 OHOKAYAMA MEGURO KU 113369 0% 100% 1
5 UNIT MATH SCI 113369 0% 100% 1
6 ZETA MATH 113369 0% 100% 1
7 HIYOSHI KOHOKU KU 56684 0% 50% 1
8 MATH LAMUSE 56684 0% 50% 1
9 ZETA 56684 0% 50% 1
10 INFORMAT MATH E STUDIES 22672 0% 20% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 75986 14% 2% 39
2 JOURNAL OF NUMBER THEORY 13441 9% 0% 24
3 KODAI MATHEMATICAL JOURNAL 10930 2% 2% 6
4 NAGOYA MATHEMATICAL JOURNAL 7540 3% 1% 9
5 INTERNATIONAL JOURNAL OF MATHEMATICS 6855 4% 1% 10
6 ACTA ARITHMETICA 4171 4% 0% 11
7 JOURNAL OF NONCOMMUTATIVE GEOMETRY 3549 1% 1% 3
8 FORUM MATHEMATICUM 3068 2% 0% 6
9 LITHUANIAN MATHEMATICAL JOURNAL 2624 1% 1% 3
10 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 1878 1% 1% 2

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MULTIPLE SINE FUNCTION 1999831 8% 84% 21 Search MULTIPLE+SINE+FUNCTION Search MULTIPLE+SINE+FUNCTION
2 FIELD WITH ONE ELEMENT 1030630 4% 91% 10 Search FIELD+WITH+ONE+ELEMENT Search FIELD+WITH+ONE+ELEMENT
3 MULTIPLE GAMMA FUNCTION 944732 5% 56% 15 Search MULTIPLE+GAMMA+FUNCTION Search MULTIPLE+GAMMA+FUNCTION
4 DOUBLE SINE FUNCTION 793586 3% 100% 7 Search DOUBLE+SINE+FUNCTION Search DOUBLE+SINE+FUNCTION
5 ZETA REGULARIZED PRODUCT 725562 3% 80% 8 Search ZETA+REGULARIZED+PRODUCT Search ZETA+REGULARIZED+PRODUCT
6 F 1 GEOMETRY 472371 2% 83% 5 Search F+1+GEOMETRY Search F+1+GEOMETRY
7 BC SYSTEM 340108 1% 100% 3 Search BC+SYSTEM Search BC+SYSTEM
8 FIELD OF ONE ELEMENT 340108 1% 100% 3 Search FIELD+OF+ONE+ELEMENT Search FIELD+OF+ONE+ELEMENT
9 MULTIPLE TRIGONOMETRIC FUNCTION 340108 1% 100% 3 Search MULTIPLE+TRIGONOMETRIC+FUNCTION Search MULTIPLE+TRIGONOMETRIC+FUNCTION
10 SELBERG ZETA FUNCTION 327950 3% 32% 9 Search SELBERG+ZETA+FUNCTION Search SELBERG+ZETA+FUNCTION

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 5230 L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS
2 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
3 20775 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
4 27746 IHARA ZETA FUNCTION//GRAPH COVERING//DIGRAPH COVERING
5 11341 ANALYTIC TORSION//DIFFERENTIAL K THEORY//DIFFERENTIAL COHOMOLOGY
6 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
7 11953 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
8 24523 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
9 6875 MODEL CATEGORY//DG CATEGORIES//NONCOMMUTATIVE MOTIVES
10 25542 RECIPROCITY LAWS//CONTOU CARRERE SYMBOL//HIGHER ADELES

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