Class information for:
Level 1: SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18796 535 14.2 34%


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
1098 2             HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS 9817
18796 1                   SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS 535

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 SUM OF DIGITS FUNCTION authKW 1104953 4% 88% 22
2 CANONICAL NUMBER SYSTEM authKW 749741 3% 77% 17
3 SUM OF DIGITS authKW 515436 3% 53% 17
4 SHIFT RADIX SYSTEMS authKW 405860 1% 89% 8
5 Q ADDITIVE FUNCTIONS authKW 399520 1% 100% 7
6 DIGITAL EXPANSIONS authKW 385247 2% 75% 9
7 ABT MATH STAT address 355611 2% 69% 9
8 COMP ALGEBRA address 318574 4% 27% 21
9 CHAIR MATH STAT address 222760 2% 35% 11
10 CONTRACTING POLYNOMIAL authKW 171223 1% 100% 3

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 21465 85% 0% 456
2 Mathematics, Applied 399 12% 0% 64
3 Computer Science, Theory & Methods 248 7% 0% 35
4 Computer Science, Software Engineering 14 2% 0% 9
5 Computer Science, Information Systems 12 2% 0% 10
6 Logic 12 0% 0% 2
7 Statistics & Probability 8 1% 0% 8
8 Computer Science, Hardware & Architecture 0 0% 0% 2
9 Computer Science, Interdisciplinary Applications 0 1% 0% 4
10 Physics, Mathematical -0 1% 0% 4

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 ABT MATH STAT 355611 2% 69% 9
2 COMP ALGEBRA 318574 4% 27% 21
3 CHAIR MATH STAT 222760 2% 35% 11
4 MATH ANGEW GEOMETRIE 166024 1% 36% 8
5 ANAL COMPUTAT NUMBER THEORY 114133 2% 20% 10
6 MATH MARSEILLE 71325 2% 13% 10
7 ABT LINEARE GEOMETRIE 57074 0% 100% 1
8 AMIENOIS MATH MONDAMENTALES PL 57074 0% 100% 1
9 ANAL COMPUTAT THEORY 57074 0% 100% 1
10 CHAIR MATHEMAT STAT 57074 0% 100% 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 FIBONACCI QUARTERLY 61155 7% 3% 35
2 JOURNAL OF NUMBER THEORY 49751 12% 1% 64
3 ACTA ARITHMETICA 42594 9% 2% 49
4 PUBLICATIONES MATHEMATICAE-DEBRECEN 34101 6% 2% 34
5 ACTA MATHEMATICA HUNGARICA 18538 6% 1% 31
6 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 9635 1% 3% 6
7 RAMANUJAN JOURNAL 6683 2% 1% 11
8 INTERNATIONAL JOURNAL OF NUMBER THEORY 5076 2% 1% 10
9 MATHEMATICS MAGAZINE 3620 0% 3% 2
10 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 3197 1% 1% 5

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 SUM OF DIGITS FUNCTION 1104953 4% 88% 22 Search SUM+OF+DIGITS+FUNCTION Search SUM+OF+DIGITS+FUNCTION
2 CANONICAL NUMBER SYSTEM 749741 3% 77% 17 Search CANONICAL+NUMBER+SYSTEM Search CANONICAL+NUMBER+SYSTEM
3 SUM OF DIGITS 515436 3% 53% 17 Search SUM+OF+DIGITS Search SUM+OF+DIGITS
4 SHIFT RADIX SYSTEMS 405860 1% 89% 8 Search SHIFT+RADIX+SYSTEMS Search SHIFT+RADIX+SYSTEMS
5 Q ADDITIVE FUNCTIONS 399520 1% 100% 7 Search Q+ADDITIVE+FUNCTIONS Search Q+ADDITIVE+FUNCTIONS
6 DIGITAL EXPANSIONS 385247 2% 75% 9 Search DIGITAL+EXPANSIONS Search DIGITAL+EXPANSIONS
7 CONTRACTING POLYNOMIAL 171223 1% 100% 3 Search CONTRACTING+POLYNOMIAL Search CONTRACTING+POLYNOMIAL
8 FINITE AND PERIODIC ORBITS 171223 1% 100% 3 Search FINITE+AND+PERIODIC+ORBITS Search FINITE+AND+PERIODIC+ORBITS
9 HEIGHT OF POLYNOMIALS 171223 1% 100% 3 Search HEIGHT+OF+POLYNOMIALS Search HEIGHT+OF+POLYNOMIALS
10 NIVEN NUMBERS 171223 1% 100% 3 Search NIVEN+NUMBERS Search NIVEN+NUMBERS

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 MARTIN, B , MAUDUIT, C , RIVAT, J , (2014) THEOREM OF PRIME NUMBERS FOR THE DIGITAL FUNCTIONS.ACTA ARITHMETICA. VOL. 165. ISSUE 1. P. 11 -45 19 100% 4
2 MADRITSCH, MG , (2010) ASYMPTOTIC NORMALITY OF B-ADDITIVE FUNCTIONS ON POLYNOMIAL SEQUENCES IN NUMBER SYSTEMS.RAMANUJAN JOURNAL. VOL. 21. ISSUE 2. P. 181-210 18 95% 1
3 BEREND, D , KOLESNIK, G , (2016) JOINT DISTRIBUTION OF COMPLETELY Q-ADDITIVE FUNCTIONS IN RESIDUE CLASSES.JOURNAL OF NUMBER THEORY. VOL. 160. ISSUE . P. 716 -738 14 100% 0
4 ALOUI, K , (2015) ON INTEGERS OF ELLIPTICAL SYSTEM: SUM OF FIGURES AND DISTRIBUTION IN THE CLASSES OF CONGRUENCE.PERIODICA MATHEMATICA HUNGARICA. VOL. 70. ISSUE 2. P. 171 -208 13 100% 0
5 GERMAN, L , KOVACS, A , (2007) ON NUMBER SYSTEM CONSTRUCTIONS.ACTA MATHEMATICA HUNGARICA. VOL. 115. ISSUE 1-2. P. 155 -167 16 94% 5
6 CAR, M , MAUDUIT, C , (2016) REPARTITION OF COMPLETELY Q-ADDITIVE FUNCTIONS ALONG SQUARES OF POLYNOMIALS OVER A FINITE FIELD.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 144. ISSUE 4. P. 775 -817 12 100% 0
7 DRMOTA, M , MAUDUIT, C , (2010) WEYL SUMS OVER INTEGERS WITH AFFINE DIGIT RESTRICTIONS.JOURNAL OF NUMBER THEORY. VOL. 130. ISSUE 11. P. 2404 -2427 15 88% 1
8 SCHEICHER, K , SURER, P , THUSWALDNER, JM , VAN DE WOESTIJNE, CE , (2014) DIGIT SYSTEMS OVER COMMUTATIVE RINGS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 10. ISSUE 6. P. 1459 -1483 13 93% 0
9 STOLL, T , (2013) COMBINATORIAL CONSTRUCTIONS FOR THE ZECKENDORF SUM OF DIGITS OF POLYNOMIAL VALUES.RAMANUJAN JOURNAL. VOL. 32. ISSUE 2. P. 227-243 13 93% 0
10 MAUDUIT, C , MOREIRA, CG , (2015) PHENOMENON OF MOSER-NEWMAN FOR NUMBERS WITHOUT SQUARE FACTOR.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 143. ISSUE 3. P. 599 -617 13 87% 0

Classes with closest relation at Level 1


Rank Class id link
1 5684 COMBINATORICS ON WORDS//STURMIAN WORDS//PARTIAL WORDS
2 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
3 32107 AVOIDABLE SETS//RANDOM FIBONACCI SEQUENCE//RANDOM FIBONACCI SEQUENCES
4 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
5 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION
6 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
7 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
8 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
9 29164 MERIT FACTOR//LITTLEWOOD POLYNOMIALS//FEKETE POLYNOMIALS
10 11002 BINARY SEARCH TREE//CONTRACTION METHOD//RANDOM TREES

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