Class information for:
Level 1: MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA 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
11872 1                   MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION 976

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MULTIPLE ZETA VALUES authKW 3744116 13% 89% 131
2 EULER SUMS authKW 1069067 4% 95% 35
3 HURWITZ ZETA FUNCTION authKW 960899 8% 40% 74
4 RIEMANN ZETA FUNCTION authKW 934509 13% 23% 128
5 HARMONIC NUMBERS authKW 887928 6% 50% 55
6 MULTIPLE ZETA STAR VALUES authKW 582838 2% 95% 19
7 STIELTJES CONSTANTS authKW 506811 2% 83% 19
8 GENERALIZED HARMONIC NUMBERS authKW 435064 2% 84% 16
9 SUM FORMULA authKW 382379 2% 79% 15
10 LIS CRITERION authKW 322903 1% 100% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 36800 83% 0% 809
2 Mathematics, Applied 6228 32% 0% 314
3 Physics, Mathematical 83 3% 0% 32
4 Statistics & Probability 60 2% 0% 24
5 Computer Science, Software Engineering 3 1% 0% 9
6 Computer Science, Theory & Methods -0 1% 0% 7
7 Computer Science, Interdisciplinary Applications -1 0% 0% 4
8 Computer Science, Hardware & Architecture -1 0% 0% 1
9 Physics, Particles & Fields -5 0% 0% 3
10 Physics, Multidisciplinary -5 1% 0% 9

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VICTORIA UNIV 62091 1% 38% 5
2 HBEREICH MATH AZ 43052 0% 67% 2
3 ALGORITHM ARTHMET EXPT A2X 32290 0% 100% 1
4 GLOBAL BIG DATA MATHCHIYODA KU 32290 0% 100% 1
5 GRP FIS TEORIA MATEMAT UNITA TECN 32290 0% 100% 1
6 IST MATEMAT GUIDO CASTELNUOVO 32290 0% 100% 1
7 KAWARABAYASHI LARGE GR H PROJECT INFOR 32290 0% 100% 1
8 L1PN 32290 0% 100% 1
9 MET ESTADJST 32290 0% 100% 1
10 SCI ENGNOKUBO SHINJUKU KU 32290 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RAMANUJAN JOURNAL 119545 6% 6% 63
2 JOURNAL OF NUMBER THEORY 69197 10% 2% 102
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 48497 4% 3% 43
4 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 25629 3% 2% 32
5 KYUSHU JOURNAL OF MATHEMATICS 14396 1% 4% 11
6 COMMUNICATIONS IN NUMBER THEORY AND PHYSICS 9186 1% 4% 7
7 UTILITAS MATHEMATICA 9144 2% 1% 22
8 ACTA ARITHMETICA 7141 3% 1% 27
9 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 5538 1% 2% 7
10 AMERICAN MATHEMATICAL MONTHLY 4177 2% 1% 19

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MULTIPLE ZETA VALUES 3744116 13% 89% 131 Search MULTIPLE+ZETA+VALUES Search MULTIPLE+ZETA+VALUES
2 EULER SUMS 1069067 4% 95% 35 Search EULER+SUMS Search EULER+SUMS
3 HURWITZ ZETA FUNCTION 960899 8% 40% 74 Search HURWITZ+ZETA+FUNCTION Search HURWITZ+ZETA+FUNCTION
4 RIEMANN ZETA FUNCTION 934509 13% 23% 128 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
5 HARMONIC NUMBERS 887928 6% 50% 55 Search HARMONIC+NUMBERS Search HARMONIC+NUMBERS
6 MULTIPLE ZETA STAR VALUES 582838 2% 95% 19 Search MULTIPLE+ZETA+STAR+VALUES Search MULTIPLE+ZETA+STAR+VALUES
7 STIELTJES CONSTANTS 506811 2% 83% 19 Search STIELTJES+CONSTANTS Search STIELTJES+CONSTANTS
8 GENERALIZED HARMONIC NUMBERS 435064 2% 84% 16 Search GENERALIZED+HARMONIC+NUMBERS Search GENERALIZED+HARMONIC+NUMBERS
9 SUM FORMULA 382379 2% 79% 15 Search SUM+FORMULA Search SUM+FORMULA
10 LIS CRITERION 322903 1% 100% 10 Search LIS+CRITERION Search LIS+CRITERION

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 20995 IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY
2 9138 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS
3 11953 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
4 26349 MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION
5 20679 STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS
6 38797 APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT
7 29140 JOINT UNIVERSALITY//SPACE OF ANALYTIC FUNCTIONS//PERIODIC HURWITZ ZETA FUNCTION
8 11610 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
9 20719 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
10 14734 SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS

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