Class information for:
Level 1: EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13744 816 12.6 30%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1206 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS 9179
13744 1                   EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS 816

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 EGYPTIAN FRACTIONS authKW 303095 1% 90% 9
2 COMP ALGEBRA address 229221 3% 28% 22
3 MULTIPLICATIVE FUNCTIONS authKW 191329 2% 34% 15
4 SMOOTH NUMBERS authKW 185792 1% 41% 12
5 FRIABLE INTEGERS authKW 168384 1% 75% 6
6 ACTA ARITHMETICA journal 167632 15% 4% 120
7 SHIFTED PRIMES authKW 159515 1% 47% 9
8 DIVISOR GRAPH authKW 149677 0% 100% 4
9 PRACTICAL NUMBER authKW 149677 0% 100% 4
10 RANDOM MULTIPLICATIVE FUNCTIONS authKW 149677 0% 100% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 40931 95% 0% 776
2 Mathematics, Applied 319 9% 0% 74
3 Statistics & Probability 8 1% 0% 11
4 Computer Science, Theory & Methods -0 1% 0% 5
5 Mathematical & Computational Biology -1 0% 0% 1
6 Critical Care Medicine -1 0% 0% 1
7 Mathematics, Interdisciplinary Applications -2 0% 0% 1
8 Computer Science, Software Engineering -2 0% 0% 1
9 Computer Science, Information Systems -4 0% 0% 1
10 Mechanics -4 0% 0% 3

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMP ALGEBRA 229221 3% 28% 22
2 PROBABIL THEORY NUMBER THEORY 103938 1% 56% 5
3 AL ZARKA UNIV 74839 0% 100% 2
4 ELIE CARTAN 71781 4% 5% 35
5 CASE 7012UMR 7586 37419 0% 100% 1
6 CNRSUP A 6090 LACO 37419 0% 100% 1
7 ELIE CARATAN 37419 0% 100% 1
8 KOMPUTER ALGEBRA TANSZEK 37419 0% 100% 1
9 VLADIMIR 37419 0% 100% 1
10 UMR 9973 MATH 18709 0% 50% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ACTA ARITHMETICA 167632 15% 4% 120
2 JOURNAL OF NUMBER THEORY 84497 13% 2% 103
3 ACTA MATHEMATICA HUNGARICA 39682 7% 2% 56
4 MATHEMATIKA 9693 2% 2% 15
5 RAMANUJAN JOURNAL 9269 2% 2% 16
6 QUARTERLY JOURNAL OF MATHEMATICS 6639 2% 1% 16
7 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 5641 3% 1% 22
8 INTERNATIONAL JOURNAL OF NUMBER THEORY 5621 2% 1% 13
9 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 5004 3% 1% 22
10 PUBLICATIONES MATHEMATICAE-DEBRECEN 4929 2% 1% 16

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 EGYPTIAN FRACTIONS 303095 1% 90% 9 Search EGYPTIAN+FRACTIONS Search EGYPTIAN+FRACTIONS
2 MULTIPLICATIVE FUNCTIONS 191329 2% 34% 15 Search MULTIPLICATIVE+FUNCTIONS Search MULTIPLICATIVE+FUNCTIONS
3 SMOOTH NUMBERS 185792 1% 41% 12 Search SMOOTH+NUMBERS Search SMOOTH+NUMBERS
4 FRIABLE INTEGERS 168384 1% 75% 6 Search FRIABLE+INTEGERS Search FRIABLE+INTEGERS
5 SHIFTED PRIMES 159515 1% 47% 9 Search SHIFTED+PRIMES Search SHIFTED+PRIMES
6 DIVISOR GRAPH 149677 0% 100% 4 Search DIVISOR+GRAPH Search DIVISOR+GRAPH
7 PRACTICAL NUMBER 149677 0% 100% 4 Search PRACTICAL+NUMBER Search PRACTICAL+NUMBER
8 RANDOM MULTIPLICATIVE FUNCTIONS 149677 0% 100% 4 Search RANDOM+MULTIPLICATIVE+FUNCTIONS Search RANDOM+MULTIPLICATIVE+FUNCTIONS
9 LARGEST PRIME FACTOR 134705 1% 60% 6 Search LARGEST+PRIME+FACTOR Search LARGEST+PRIME+FACTOR
10 PROBABILISTIC NUMBER THEORY 122229 1% 47% 7 Search PROBABILISTIC+NUMBER+THEORY Search PROBABILISTIC+NUMBER+THEORY

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 MOREE, P , (2013) NICOLAAS GOVERT DE BRUIJN, THE ENCHANTER OF FRIABLE INTEGERS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 24. ISSUE 4. P. 774 -801 30 91% 3
2 ELLIOTT, PDTA , (2015) JONAS KUBILIUS AND PROBABILISTIC NUMBER THEORY SOME PERSONAL REFLECTIONS.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 55. ISSUE 1. P. 2 -24 19 95% 0
3 DE LA BRETECHE, R , TENENBAUM, G , (2005) STATISTIC PROPERTIES OF FRIABLE INTEGERS.RAMANUJAN JOURNAL. VOL. 9. ISSUE 1-2. P. 139-202 20 100% 20
4 TENENBAUM, G , WU, J , (2003) MEANS OF CERTAIN MULTIPLICATIVE FUNCTIONS OVER FRIABLE INTEGERS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 564. ISSUE . P. 119-166 20 100% 19
5 MARTIN, B , TENENBAUM, G , (2010) ON THE TURAN-KUBILIUS INEQUALITY OF FRIABLE.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 647. ISSUE . P. 175 -234 17 94% 4
6 DE LA BRETECHE, R , TENENBAUM, G , (2005) FRIABLE IMAGES - TURAN-KUBILIUS INEQUALITY AND APPLICATIONS.INVENTIONES MATHEMATICAE. VOL. 159. ISSUE 3. P. 531-588 18 100% 11
7 INDLEKOFER, KH , (2002) NUMBER THEORY - PROBABILISTIC, HEURISTIC, AND COMPUTATIONAL APPROACHES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 43. ISSUE 8-9. P. 1035 -1061 21 91% 4
8 BALOG, A , RIVAT, J , SARKOZY, A , (2014) ON ARITHMETIC PROPERTIES OF SUMSETS.ACTA MATHEMATICA HUNGARICA. VOL. 144. ISSUE 1. P. 18 -42 20 67% 0
9 DRAPPEAU, S , (2016) REMARKS ON THE MEAN VALUES OF THE PILTZ FUNCTIONS ON FRIABLE INTEGERS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 67. ISSUE 4. P. 507 -517 12 100% 0
10 WEINGARTNER, A , (2015) PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 2. P. 743 -758 12 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
2 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
3 21141 RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS
4 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
5 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
6 29833 FACTORISATIO NUMERORUM//IMPROPER EDGE//ORDERED FACTORIZATIONS
7 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES
8 13255 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
9 18796 SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS
10 34713 RAMANUJAN SUBSPACES//XRAY PHYS IMAGING//MOJETTE TRANSFORM

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