Class information for:
Level 1: CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14037 797 16.1 31%


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
14037 1                   CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME 797

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 CARMICHAEL NUMBERS authKW 825671 3% 86% 25
2 PRIMALITY TESTING authKW 509437 3% 53% 25
3 PSEUDOPRIME authKW 380855 2% 76% 13
4 STRONG PSEUDOPRIMES authKW 344803 1% 100% 9
5 PRIMALITY PROVING authKW 191557 1% 100% 5
6 RABIN MILLER TEST authKW 191557 1% 100% 5
7 PRIMITIVE ROOTS authKW 185029 2% 30% 16
8 MULTIPLICATIVE ORDER authKW 182534 1% 53% 9
9 ARTINS CONJECTURE authKW 178283 1% 42% 11
10 CHEBOTAREV DENSITY THEOREM authKW 174132 1% 45% 10

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 23473 73% 0% 584
2 Mathematics, Applied 2672 24% 0% 189
3 Computer Science, Theory & Methods 753 9% 0% 72
4 Computer Science, Information Systems 23 2% 0% 16
5 Logic 18 0% 0% 3
6 Computer Science, Hardware & Architecture 12 1% 0% 8
7 Computer Science, Software Engineering 6 1% 0% 9
8 Computer Science, Cybernetics 0 0% 0% 1
9 History & Philosophy of Science 0 0% 0% 1
10 Information Science & Library Science 0 0% 0% 2

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 ENGN ELECT ELE ENGN MEGURO KU 38311 0% 100% 1
2 INFORMATLIXINRIA FUTURS 38311 0% 100% 1
3 MAT PA 38311 0% 100% 1
4 PIONEER GRP 38311 0% 100% 1
5 PIONIER GRP 38311 0% 100% 1
6 STATE KEY INFORMAT SECUR 38311 0% 100% 1
7 TELECOM FUNDAMENTALS 38311 0% 100% 1
8 TELECOMMUN FUNDAMENTAL 38311 0% 100% 1
9 MATEMAT PURAS LICADAS 28137 1% 12% 6
10 CHUNG CHENG UNIV 19155 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 MATHEMATICS OF COMPUTATION 83494 12% 2% 93
2 ACTA ARITHMETICA 80091 10% 3% 82
3 JOURNAL OF NUMBER THEORY 52156 10% 2% 80
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 39477 4% 3% 34
5 FIBONACCI QUARTERLY 5644 2% 1% 13
6 AMERICAN MATHEMATICAL MONTHLY 5642 3% 1% 20
7 EXPERIMENTAL MATHEMATICS 5257 1% 1% 10
8 FINITE FIELDS AND THEIR APPLICATIONS 3736 1% 1% 10
9 MATHEMATIKA 3566 1% 1% 9
10 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 3104 1% 1% 8

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 CARMICHAEL NUMBERS 825671 3% 86% 25 Search CARMICHAEL+NUMBERS Search CARMICHAEL+NUMBERS
2 PRIMALITY TESTING 509437 3% 53% 25 Search PRIMALITY+TESTING Search PRIMALITY+TESTING
3 PSEUDOPRIME 380855 2% 76% 13 Search PSEUDOPRIME Search PSEUDOPRIME
4 STRONG PSEUDOPRIMES 344803 1% 100% 9 Search STRONG+PSEUDOPRIMES Search STRONG+PSEUDOPRIMES
5 PRIMALITY PROVING 191557 1% 100% 5 Search PRIMALITY+PROVING Search PRIMALITY+PROVING
6 RABIN MILLER TEST 191557 1% 100% 5 Search RABIN+MILLER+TEST Search RABIN+MILLER+TEST
7 PRIMITIVE ROOTS 185029 2% 30% 16 Search PRIMITIVE+ROOTS Search PRIMITIVE+ROOTS
8 MULTIPLICATIVE ORDER 182534 1% 53% 9 Search MULTIPLICATIVE+ORDER Search MULTIPLICATIVE+ORDER
9 ARTINS CONJECTURE 178283 1% 42% 11 Search ARTINS+CONJECTURE Search ARTINS+CONJECTURE
10 CHEBOTAREV DENSITY THEOREM 174132 1% 45% 10 Search CHEBOTAREV+DENSITY+THEOREM Search CHEBOTAREV+DENSITY+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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 AKBARY, A , FELIX, AT , (2015) ON INVARIANTS OF ELLIPTIC CURVES ON AVERAGE.ACTA ARITHMETICA. VOL. 168. ISSUE 1. P. 31 -70 17 94% 2
2 ZHANG, ZX , (2010) ON THE EFFECTIVENESS OF A GENERALIZATION OF MILLER'S PRIMALITY THEOREM.JOURNAL OF COMPLEXITY. VOL. 26. ISSUE 2. P. 200-208 15 94% 0
3 BANKS, WD , LUCA, F , SAIDAK, F , STANICA, P , (2005) COMPOSITIONS WITH THE EULER AND CARMICHAEL FUNCTIONS.ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. VOL. 75. ISSUE . P. 215 -244 17 94% 0
4 BANKS, WD , FRIEDLANDER, JB , LUCA, F , PAPPALARDI, F , SHPARLINSKI, IE , (2006) COINCIDENCES IN THE VALUES OF THE EULER AND CARMICHAEL FUNCTIONS.ACTA ARITHMETICA. VOL. 122. ISSUE 3. P. 207-234 15 94% 0
5 BANKS, WD , FREIBERG, T , (2016) CARMICHAEL NUMBERS AND THE SIEVE.JOURNAL OF NUMBER THEORY. VOL. 165. ISSUE . P. 15 -29 13 81% 0
6 BANKS, WD , SHPARLINSKI, IE , (2009) SATO-TATE, CYCLICITY, AND DIVISIBILITY STATISTICS ON AVERAGE FOR ELLIPTIC CURVES OF SMALL HEIGHT.ISRAEL JOURNAL OF MATHEMATICS. VOL. 173. ISSUE 1. P. 253-277 18 67% 10
7 FELIX, AT , (2013) HIGHER RANK GENERALIZATIONS OF FOMENKO'S CONJECTURE.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 5. P. 1738-1751 11 100% 0
8 SHPARLINSKI, IE , (2013) ON THE LANG-TROTTER AND SATO-TATE CONJECTURES ON AVERAGE FOR POLYNOMIAL FAMILIES OF ELLIPTIC CURVES.MICHIGAN MATHEMATICAL JOURNAL. VOL. 62. ISSUE 3. P. 491-505 16 67% 1
9 POLLACK, P , (2016) A TITCHMARSH DIVISOR PROBLEM FOR ELLIPTIC CURVES.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 160. ISSUE 1. P. 167 -189 12 80% 0
10 ABATZOGLOU, A , SILVERBERG, A , SUTHERLAND, AV , WONG, A , (2016) A FRAMEWORK FOR DETERMINISTIC PRIMALITY PROVING USING ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION.MATHEMATICS OF COMPUTATION. VOL. 85. ISSUE 299. P. 1461 -1483 12 80% 0

Classes with closest relation at Level 1


Rank Class id link
1 24944 COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS
2 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
3 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
4 33381 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
5 27534 PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS
6 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
7 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
8 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
9 1500 SCALAR MULTIPLICATION//ELLIPTIC CURVE CRYPTOGRAPHY//ELLIPTIC CURVE CRYPTOSYSTEM
10 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS

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