Class information for:
Level 1: PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19793 489 14.1 26%


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
19793 1                   PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS 489

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 PRIMES IN RESIDUE CLASSES authKW 312217 1% 100% 5
2 CHEBYSHEVS BIAS authKW 260179 1% 83% 5
3 FACTORIZATIONS OF DISTINCT LENGTHS authKW 249774 1% 100% 4
4 JACOBSTHAL FUNCTION authKW 199817 1% 80% 4
5 OMEGA ESTIMATES authKW 195132 1% 63% 5
6 HILBERT SEMIGROUP authKW 187330 1% 100% 3
7 ROBINS INEQUALITY authKW 187330 1% 100% 3
8 SHIFTED POWER authKW 187330 1% 100% 3
9 SKEWES NUMBER authKW 187330 1% 100% 3
10 TURINGS METHOD authKW 187330 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 13485 71% 0% 347
2 Mathematics, Applied 2445 29% 0% 140
3 Computer Science, Software Engineering 61 3% 0% 15
4 Computer Science, Theory & Methods 51 3% 0% 17
5 Computer Science, Hardware & Architecture 28 2% 0% 8
6 Computer Science, Information Systems 7 2% 0% 8
7 Logic 2 0% 0% 1
8 Multidisciplinary Sciences 2 1% 0% 3
9 Physics, Mathematical 1 1% 0% 6
10 Statistics & Probability 0 1% 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 CNRS PAUL PAINLEVE 83257 0% 67% 2
2 DIPARTIMENTO INGN GEST INFORMAZ PROD 76848 1% 31% 4
3 ACTUARIAL ANAL 62443 0% 100% 1
4 CNRS INFORMAT PARALLELISME 62443 0% 100% 1
5 ELECT TELECOMUNICAC INFORMAT 62443 0% 100% 1
6 UMR 8423 PAUL PAINLEVE 62443 0% 100% 1
7 UP A 6090CNRS 62443 0% 100% 1
8 URA 8628 62443 0% 100% 1
9 HEILBRONN MATH 52570 2% 11% 8
10 UP A CNRS 5028 31221 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 111099 17% 2% 84
2 ACTA ARITHMETICA 58737 11% 2% 55
3 JOURNAL OF NUMBER THEORY 37319 11% 1% 53
4 EXPERIMENTAL MATHEMATICS 14510 3% 2% 13
5 RAMANUJAN JOURNAL 8706 2% 1% 12
6 INTERNATIONAL JOURNAL OF NUMBER THEORY 5556 2% 1% 10
7 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 2503 2% 0% 11
8 AMERICAN MATHEMATICAL MONTHLY 2295 2% 0% 10
9 PUBLICATIONES MATHEMATICAE-DEBRECEN 1571 1% 0% 7
10 BIT 1493 1% 1% 3

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 PRIMES IN RESIDUE CLASSES 312217 1% 100% 5 Search PRIMES+IN+RESIDUE+CLASSES Search PRIMES+IN+RESIDUE+CLASSES
2 CHEBYSHEVS BIAS 260179 1% 83% 5 Search CHEBYSHEVS+BIAS Search CHEBYSHEVS+BIAS
3 FACTORIZATIONS OF DISTINCT LENGTHS 249774 1% 100% 4 Search FACTORIZATIONS+OF+DISTINCT+LENGTHS Search FACTORIZATIONS+OF+DISTINCT+LENGTHS
4 JACOBSTHAL FUNCTION 199817 1% 80% 4 Search JACOBSTHAL+FUNCTION Search JACOBSTHAL+FUNCTION
5 OMEGA ESTIMATES 195132 1% 63% 5 Search OMEGA+ESTIMATES Search OMEGA+ESTIMATES
6 HILBERT SEMIGROUP 187330 1% 100% 3 Search HILBERT+SEMIGROUP Search HILBERT+SEMIGROUP
7 ROBINS INEQUALITY 187330 1% 100% 3 Search ROBINS+INEQUALITY Search ROBINS+INEQUALITY
8 SHIFTED POWER 187330 1% 100% 3 Search SHIFTED+POWER Search SHIFTED+POWER
9 SKEWES NUMBER 187330 1% 100% 3 Search SKEWES+NUMBER Search SKEWES+NUMBER
10 TURINGS METHOD 187330 1% 100% 3 Search TURINGS+METHOD Search TURINGS+METHOD

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 PLATT, DJ , RAMARE, O , (2017) EXPLICIT ESTIMATES: FROM (N) IN ARITHMETIC PROGRESSIONS TO (N)/N.EXPERIMENTAL MATHEMATICS. VOL. 26. ISSUE 1. P. 77 -92 15 88% 0
2 TAO, T , (2014) EVERY ODD NUMBER GREATER THAN 1 IS THE SUM OF AT MOST FIVE PRIMES.MATHEMATICS OF COMPUTATION. VOL. 83. ISSUE 286. P. 997 -1038 13 87% 3
3 SILVA, TOE , HERZOG, S , PARDI, S , (2014) EMPIRICAL VERIFICATION OF THE EVEN GOLDBACH CONJECTURE AND COMPUTATION OF PRIME GAPS UP TO 4 . 10(18).MATHEMATICS OF COMPUTATION. VOL. 83. ISSUE 288. P. 2033 -2060 14 78% 5
4 KADIRI, H , (2013) A ZERO DENSITY RESULT FOR THE RIEMANN ZETA FUNCTION.ACTA ARITHMETICA. VOL. 160. ISSUE 2. P. 185 -200 10 100% 2
5 DUSART, P , (2016) ESTIMATES OF PSI, THETA FOR LARGE VALUES OF X WITHOUT THE RIEMANN HYPOTHESIS.MATHEMATICS OF COMPUTATION. VOL. 85. ISSUE 298. P. 875 -888 10 91% 0
6 CHEN, YG , FANG, JH , YUAN, PZ , ZHENG, YP , (2016) ON MULTIPLICATIVE FUNCTIONS WITH F(P PLUS Q PLUS N(0)) = F (P) PLUS F (Q) PLUS F (N0).JOURNAL OF NUMBER THEORY. VOL. 165. ISSUE . P. 270 -289 9 100% 0
7 TRUDGIAN, T , (2016) UPDATING THE ERROR TERM IN THE PRIME NUMBER THEOREM.RAMANUJAN JOURNAL. VOL. 39. ISSUE 2. P. 225 -234 9 90% 1
8 KACZOROWSKI, J , WIERTELAK, K , (2010) OSCILLATIONS OF THE REMAINDER TERM RELATED TO THE EULER TOTIENT FUNCTION.JOURNAL OF NUMBER THEORY. VOL. 130. ISSUE 12. P. 2683-2700 9 100% 1
9 CHEN, YG , GONG, ML , (2014) ON THE PRODUCTS (1(L)+1) (2(L)+1) ... (N(L)+1), II.JOURNAL OF NUMBER THEORY. VOL. 144. ISSUE . P. 176 -187 8 100% 0
10 FABER, L , KADIRI, H , (2015) NEW BOUNDS FOR PSI(X).MATHEMATICS OF COMPUTATION. VOL. 84. ISSUE 293. P. 1339 -1357 7 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 25860 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
2 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
3 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
4 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
5 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
6 27534 PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS
7 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
8 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
9 13255 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
10 24868 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS

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