Class information for:
Level 1: DEDEKIND SUMS//HYBRID MEAN VALUE//ASYMPTOTIC FORMULA

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
1755 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//DEDEKIND SUMS 6790
14324 1                   DEDEKIND SUMS//HYBRID MEAN VALUE//ASYMPTOTIC FORMULA 808

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DEDEKIND SUMS authKW 2523358 11% 71% 91
2 HYBRID MEAN VALUE authKW 1053122 3% 100% 27
3 ASYMPTOTIC FORMULA authKW 797944 8% 30% 68
4 COCHRANE SUMS authKW 702082 2% 100% 18
5 MEAN VALUE authKW 606804 6% 34% 46
6 FOURTH POWER MEAN authKW 548499 2% 94% 15
7 CHARACTER SUMS authKW 519014 6% 29% 46
8 KLOOSTERMAN SUMS authKW 518372 5% 36% 37
9 COMPUTATIONAL FORMULA authKW 477802 2% 88% 14
10 FAREY FRACTIONS authKW 293664 2% 47% 16

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 40602 95% 0% 771
2 Mathematics, Applied 1938 20% 0% 164
3 Multidisciplinary Sciences 6 1% 0% 6
4 Computer Science, Theory & Methods 1 1% 0% 8
5 Information Science & Library Science 1 0% 0% 3
6 Statistics & Probability 0 1% 0% 5
7 Computer Science, Information Systems -0 1% 0% 5
8 Literature -0 0% 0% 1
9 Business -1 0% 0% 1
10 Physics, Mathematical -2 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CARNEGIE LIB 215 39005 0% 100% 1
2 CSIC UC3M 39005 0% 100% 1
3 CSICUCMUC3M 39005 0% 100% 1
4 ROCKERFELLER 39005 0% 100% 1
5 SCLOOL ECON MANAGEMENT 39005 0% 100% 1
6 UMR 6206 163 19501 0% 50% 1
7 ZENTRUM MATH M10 19501 0% 50% 1
8 RAYMOND BEVERLY SACKLER MATH SCI 14927 1% 6% 6
9 MATH 14550 50% 0% 406
10 UC3M CIENCIAS MATEMAT 13000 0% 33% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF NUMBER THEORY 92037 13% 2% 107
2 ACTA ARITHMETICA 81960 10% 3% 83
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 18233 3% 2% 24
4 MATHEMATIKA 9820 2% 2% 15
5 ACTA MATHEMATICA SINICA-ENGLISH SERIES 7616 3% 1% 23
6 RAMANUJAN JOURNAL 7110 2% 1% 14
7 CZECHOSLOVAK MATHEMATICAL JOURNAL 5510 2% 1% 18
8 MONATSHEFTE FUR MATHEMATIK 5386 2% 1% 18
9 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 3671 1% 1% 11
10 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 3106 1% 1% 10

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DEDEKIND SUMS 2523358 11% 71% 91 Search DEDEKIND+SUMS Search DEDEKIND+SUMS
2 HYBRID MEAN VALUE 1053122 3% 100% 27 Search HYBRID+MEAN+VALUE Search HYBRID+MEAN+VALUE
3 ASYMPTOTIC FORMULA 797944 8% 30% 68 Search ASYMPTOTIC+FORMULA Search ASYMPTOTIC+FORMULA
4 COCHRANE SUMS 702082 2% 100% 18 Search COCHRANE+SUMS Search COCHRANE+SUMS
5 MEAN VALUE 606804 6% 34% 46 Search MEAN+VALUE Search MEAN+VALUE
6 FOURTH POWER MEAN 548499 2% 94% 15 Search FOURTH+POWER+MEAN Search FOURTH+POWER+MEAN
7 CHARACTER SUMS 519014 6% 29% 46 Search CHARACTER+SUMS Search CHARACTER+SUMS
8 KLOOSTERMAN SUMS 518372 5% 36% 37 Search KLOOSTERMAN+SUMS Search KLOOSTERMAN+SUMS
9 COMPUTATIONAL FORMULA 477802 2% 88% 14 Search COMPUTATIONAL+FORMULA Search COMPUTATIONAL+FORMULA
10 FAREY FRACTIONS 293664 2% 47% 16 Search FAREY+FRACTIONS Search FAREY+FRACTIONS

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 16948 SUM PRODUCT ESTIMATES//DISTINCT DISTANCES//PRODUCT SETS
2 37370 FIRST FACTOR CLASS NUMBER//KUMMER SYSTEM OF CONGRUENCES//CATALAN CURVE
3 26449 EHRHART POLYNOMIAL//EHRHART QUASI POLYNOMIAL//VIRTUAL POLYTOPE
4 17189 LINEAR COMPLEXITY//PRIMITIVE SEQUENCE//MULTISEQUENCES
5 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
6 31534 CURLICUES//ANALOGUE COMPUTERS//INCOMPLETE GAUSS SUM
7 24595 DIAGONAL EQUATION//GAUSS SUM//EQUATION IN A FINITE FIELD
8 10665 CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD
9 5230 L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS
10 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM

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