Class information for:
Level 2: RIEMANN ZETA FUNCTION//MULTIPLE ZETA VALUES//ACTA ARITHMETICA

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
5230 1                   L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS 1685
10665 1                   CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD 1074
11872 1                   MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION 976
12566 1                   DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS 927
23674 1                   MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS 361
24523 1                   ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS 332
26349 1                   MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION 278
29140 1                   JOINT UNIVERSALITY//SPACE OF ANALYTIC FUNCTIONS//PERIODIC HURWITZ ZETA FUNCTION 210
31534 1                   CURLICUES//ANALOGUE COMPUTERS//INCOMPLETE GAUSS SUM 165

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RIEMANN ZETA FUNCTION authKW 1033272 6% 59% 334
2 MULTIPLE ZETA VALUES authKW 608013 2% 89% 131
3 ACTA ARITHMETICA journal 473377 9% 17% 544
4 CIRCLE METHOD authKW 422226 2% 73% 111
5 HURWITZ ZETA FUNCTION authKW 332328 2% 59% 108
6 JOURNAL OF NUMBER THEORY journal 325512 9% 11% 549
7 MATHEMATICS WoSSC 265128 90% 1% 5379
8 RIEMANN HYPOTHESIS authKW 248053 2% 52% 91
9 L FUNCTIONS authKW 248021 2% 33% 142
10 WARING GOLDBACH PROBLEM authKW 246568 1% 98% 48

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 265128 90% 1% 5379
2 Mathematics, Applied 9137 16% 0% 989
3 Physics, Mathematical 435 3% 0% 185
4 Statistics & Probability 23 1% 0% 63
5 Multidisciplinary Sciences 20 1% 0% 36
6 COMPUTER APPLICATIONS & CYBERNETICS 5 0% 0% 2
7 Physics, Multidisciplinary -0 2% 0% 113
8 Logic -1 0% 0% 1
9 Computer Science, Software Engineering -6 0% 0% 18
10 Mathematics, Interdisciplinary Applications -7 0% 0% 16

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 75437 42% 1% 2534
2 KATEDRA MATEMAT RGF A 55384 0% 81% 13
3 KATEDRA MATEMAT RGFA 28547 0% 78% 7
4 MODERN MATH 26219 0% 100% 5
5 MATH ANGEW STAT 21407 0% 58% 7
6 MATH ANG STAT 20976 0% 100% 4
7 TECHNOL PHYS BIOMED SCI 15732 0% 100% 3
8 ELIE CARTAN 11578 1% 6% 38
9 RAYMOND BEVERLY SACKLER MATH SCI 10910 0% 15% 14
10 ARITHMET GEOMETRIE ALGEBR ORSAY 10488 0% 100% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 473377 9% 17% 544
2 JOURNAL OF NUMBER THEORY 325512 9% 11% 549
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 110320 3% 13% 161
4 RAMANUJAN JOURNAL 72660 2% 11% 122
5 MATHEMATIKA 64701 2% 12% 105
6 MONATSHEFTE FUR MATHEMATIK 58738 3% 7% 162
7 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 27275 2% 5% 109
8 QUARTERLY JOURNAL OF MATHEMATICS 26948 1% 6% 87
9 LITHUANIAN MATHEMATICAL JOURNAL 24913 1% 11% 43
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 24738 2% 4% 132

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RIEMANN ZETA FUNCTION 1033272 6% 59% 334 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
2 MULTIPLE ZETA VALUES 608013 2% 89% 131 Search MULTIPLE+ZETA+VALUES Search MULTIPLE+ZETA+VALUES
3 CIRCLE METHOD 422226 2% 73% 111 Search CIRCLE+METHOD Search CIRCLE+METHOD
4 HURWITZ ZETA FUNCTION 332328 2% 59% 108 Search HURWITZ+ZETA+FUNCTION Search HURWITZ+ZETA+FUNCTION
5 RIEMANN HYPOTHESIS 248053 2% 52% 91 Search RIEMANN+HYPOTHESIS Search RIEMANN+HYPOTHESIS
6 L FUNCTIONS 248021 2% 33% 142 Search L+FUNCTIONS Search L+FUNCTIONS
7 WARING GOLDBACH PROBLEM 246568 1% 98% 48 Search WARING+GOLDBACH+PROBLEM Search WARING+GOLDBACH+PROBLEM
8 HARDY LITTLEWOOD METHOD 186440 1% 89% 40 Search HARDY+LITTLEWOOD+METHOD Search HARDY+LITTLEWOOD+METHOD
9 SIEVE METHODS 174900 1% 60% 56 Search SIEVE+METHODS Search SIEVE+METHODS
10 EULER SUMS 173611 1% 95% 35 Search EULER+SUMS Search EULER+SUMS

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 2


rank cluster_id2 link
1 1755 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//DEDEKIND SUMS
2 2595 SIEGEL MODULAR FORMS//MATEMAT FUNDAMENTALES//JACOBI FORMS
3 3714 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
4 3916 LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS
5 322 MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA
6 1756 STIRLING NUMBERS//BERNOULLI POLYNOMIALS//GENERATING FUNCTION
7 2336 COMBINATORICS ON WORDS//STURMIAN WORDS//BETA EXPANSION
8 2557 RAMANUJAN JOURNAL//THETA FUNCTIONS//Q SERIES
9 449 MATHEMATICS//JOURNAL OF ALGEBRA//TRANSFORMATION GROUPS
10 3618 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD MATRIX

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