Class information for:
Level 1: ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS

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
24523 1                   ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS 332

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ESTERMANN ZETA FUNCTION authKW 569577 2% 100% 6
2 RIEMANN HYPOTHESIS authKW 555421 10% 18% 32
3 COTANGENT SUMS authKW 422863 2% 64% 7
4 RAMANUJAN SUBSPACES authKW 379718 1% 100% 4
5 RAMANUJAN SUMS authKW 244809 2% 37% 7
6 PERIODIC SUBSPACES authKW 213590 1% 75% 3
7 BEURLING NYMAN CRITERION authKW 189859 1% 100% 2
8 HIDDEN PERIOD IDENTIFICATION authKW 189859 1% 100% 2
9 JUMPING CHAMPION authKW 189859 1% 100% 2
10 NYMAN BEURLING THEOREM authKW 189859 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 3107 42% 0% 140
2 Physics, Mathematical 1886 21% 0% 71
3 Physics, Multidisciplinary 578 20% 0% 67
4 Mathematics, Applied 379 14% 0% 48
5 Physics, Particles & Fields 81 6% 0% 20
6 Physics, Nuclear 39 4% 0% 13
7 Physics, Fluids & Plasmas 26 3% 0% 9
8 Engineering, Electrical & Electronic 22 8% 0% 25
9 Mathematics, Interdisciplinary Applications 17 2% 0% 7
10 Multidisciplinary Sciences 10 1% 0% 4

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 THEORIE NOMB 126571 1% 67% 2
2 ALGORITHM ARITHMET MATH 94930 0% 100% 1
3 ALGORITHM ARITHMET THEORIE NOMB BORDEAUX 94930 0% 100% 1
4 ELIE CARTAN DE NANCYINRIA 94930 0% 100% 1
5 NUCL PARTICLE PHYS PHYS SECT 94930 0% 100% 1
6 PROGRAMIN INTERDISCIPLINARY STUDIES 94930 0% 100% 1
7 THEOR NOMB ALGORITHM ARITHMET 94930 0% 100% 1
8 UMR CNRS 5465 94930 0% 100% 1
9 UNIDAD ASOCIADAIEMCSIC 94930 0% 100% 1
10 CAMILLE JORDAN CNRS UMR 5208 94928 1% 50% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF NUMBER THEORY 3816 4% 0% 14
2 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 2383 2% 0% 6
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 1921 2% 0% 5
4 ACTA ARITHMETICA 1841 2% 0% 8
5 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 1775 4% 0% 13
6 ELECTRONICS & WIRELESS WORLD 1580 0% 2% 1
7 IEEE SIGNAL PROCESSING LETTERS 1310 2% 0% 8
8 ADVANCES IN MATHEMATICS 1225 2% 0% 8
9 EXPERIMENTAL MATHEMATICS 1124 1% 0% 3
10 COMPTES RENDUS MATHEMATIQUE 1084 2% 0% 7

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ESTERMANN ZETA FUNCTION 569577 2% 100% 6 Search ESTERMANN+ZETA+FUNCTION Search ESTERMANN+ZETA+FUNCTION
2 RIEMANN HYPOTHESIS 555421 10% 18% 32 Search RIEMANN+HYPOTHESIS Search RIEMANN+HYPOTHESIS
3 COTANGENT SUMS 422863 2% 64% 7 Search COTANGENT+SUMS Search COTANGENT+SUMS
4 RAMANUJAN SUBSPACES 379718 1% 100% 4 Search RAMANUJAN+SUBSPACES Search RAMANUJAN+SUBSPACES
5 RAMANUJAN SUMS 244809 2% 37% 7 Search RAMANUJAN+SUMS Search RAMANUJAN+SUMS
6 PERIODIC SUBSPACES 213590 1% 75% 3 Search PERIODIC+SUBSPACES Search PERIODIC+SUBSPACES
7 BEURLING NYMAN CRITERION 189859 1% 100% 2 Search BEURLING+NYMAN+CRITERION Search BEURLING+NYMAN+CRITERION
8 HIDDEN PERIOD IDENTIFICATION 189859 1% 100% 2 Search HIDDEN+PERIOD+IDENTIFICATION Search HIDDEN+PERIOD+IDENTIFICATION
9 JUMPING CHAMPION 189859 1% 100% 2 Search JUMPING+CHAMPION Search JUMPING+CHAMPION
10 NYMAN BEURLING THEOREM 189859 1% 100% 2 Search NYMAN+BEURLING+THEOREM Search NYMAN+BEURLING+THEOREM

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 31534 CURLICUES//ANALOGUE COMPUTERS//INCOMPLETE GAUSS SUM
2 5230 L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS
3 18944 BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS
4 29613 ARITHMETIC FOURIER TRANSFORM//INVERSE BLACK BODY RADIATION PROBLEM//GRP QUANTUM STAT METHODS THEORET PHYS
5 37370 FIRST FACTOR CLASS NUMBER//KUMMER SYSTEM OF CONGRUENCES//CATALAN CURVE
6 26349 MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION
7 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
8 27056 GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET
9 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
10 5350 QUANTUM CHAOS//QUANTUM BILLIARD//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

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