Class information for:
Level 1: CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14027 798 14.0 32%


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
14027 1                   CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS 798

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 CIRCLE METHOD authKW 1688798 10% 55% 80
2 WARING GOLDBACH PROBLEM authKW 1265177 5% 85% 39
3 SIEVE METHODS authKW 900928 6% 52% 45
4 GOLDBACH PROBLEM authKW 356141 1% 85% 11
5 HARDY LITTLEWOOD METHOD authKW 347828 3% 45% 20
6 EXPONENTIAL SUMS OVER PRIMES authKW 294330 1% 77% 10
7 GOLDBACH TYPE THEOREMS authKW 272094 1% 89% 8
8 DAVENPORT HEILBRONN METHOD authKW 267844 1% 100% 7
9 ALMOST PRIMES authKW 239551 2% 52% 12
10 GOLDBACH NUMBERS authKW 229581 1% 100% 6

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 41889 97% 0% 776
2 Mathematics, Applied 707 13% 0% 103
3 Multidisciplinary Sciences 21 1% 0% 9
4 Psychology, Mathematical 1 0% 0% 1
5 Cell & Tissue Engineering 0 0% 0% 1
6 Computer Science, Hardware & Architecture -1 0% 0% 1
7 Mathematics, Interdisciplinary Applications -1 0% 0% 2
8 Statistics & Probability -1 0% 0% 2
9 Physics, Mathematical -1 0% 0% 3
10 Computer Science, Information Systems -2 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 ALGORITHM ARITHMET EXPT A2X 38263 0% 100% 1
2 DIPARTIMENTO MATEMAT E PL R CACCIOPPOLI 38263 0% 100% 1
3 EX CEMPI 38263 0% 100% 1
4 FEZA GURSEY ENSTITUSU 38263 0% 100% 1
5 KARIN HALUPCZOK 38263 0% 100% 1
6 CNRS UMR 9973 19131 0% 50% 1
7 EGHAM 19131 0% 50% 1
8 PSYCHOL U 20 19131 0% 50% 1
9 RENYI MATH 14059 1% 5% 8
10 ALGEBRA ZAHLENTHEORIE 13095 1% 7% 5

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 162949 15% 4% 117
2 JOURNAL OF NUMBER THEORY 63047 11% 2% 88
3 MATHEMATIKA 48053 4% 4% 33
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 21304 3% 2% 25
5 ACTA MATHEMATICA HUNGARICA 16745 5% 1% 36
6 QUARTERLY JOURNAL OF MATHEMATICS 15301 3% 2% 24
7 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 9198 3% 1% 22
8 MONATSHEFTE FUR MATHEMATIK 8915 3% 1% 23
9 ACTA MATHEMATICA SINICA-ENGLISH SERIES 5795 3% 1% 20
10 RAMANUJAN JOURNAL 4473 1% 1% 11

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 CIRCLE METHOD 1688798 10% 55% 80 Search CIRCLE+METHOD Search CIRCLE+METHOD
2 WARING GOLDBACH PROBLEM 1265177 5% 85% 39 Search WARING+GOLDBACH+PROBLEM Search WARING+GOLDBACH+PROBLEM
3 SIEVE METHODS 900928 6% 52% 45 Search SIEVE+METHODS Search SIEVE+METHODS
4 GOLDBACH PROBLEM 356141 1% 85% 11 Search GOLDBACH+PROBLEM Search GOLDBACH+PROBLEM
5 HARDY LITTLEWOOD METHOD 347828 3% 45% 20 Search HARDY+LITTLEWOOD+METHOD Search HARDY+LITTLEWOOD+METHOD
6 EXPONENTIAL SUMS OVER PRIMES 294330 1% 77% 10 Search EXPONENTIAL+SUMS+OVER+PRIMES Search EXPONENTIAL+SUMS+OVER+PRIMES
7 GOLDBACH TYPE THEOREMS 272094 1% 89% 8 Search GOLDBACH+TYPE+THEOREMS Search GOLDBACH+TYPE+THEOREMS
8 DAVENPORT HEILBRONN METHOD 267844 1% 100% 7 Search DAVENPORT+HEILBRONN+METHOD Search DAVENPORT+HEILBRONN+METHOD
9 ALMOST PRIMES 239551 2% 52% 12 Search ALMOST+PRIMES Search ALMOST+PRIMES
10 GOLDBACH NUMBERS 229581 1% 100% 6 Search GOLDBACH+NUMBERS Search GOLDBACH+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 PLATT, DJ , TRUDGIAN, TS , (2015) LINNIK'S APPROXIMATION TO GOLDBACH'S CONJECTURE, AND OTHER PROBLEMS.JOURNAL OF NUMBER THEORY. VOL. 153. ISSUE . P. 54 -62 23 100% 1
2 LIU, ZX , LU, GS , (2011) ON UNLIKE POWERS OF PRIMES AND POWERS OF 2.ACTA MATHEMATICA HUNGARICA. VOL. 132. ISSUE 1-2. P. 125 -139 22 100% 2
3 LIU, ZX , LU, GS , (2011) TWO RESULTS ON POWERS OF 2 IN WARING-GOLDBACH PROBLEM.JOURNAL OF NUMBER THEORY. VOL. 131. ISSUE 4. P. 716-736 22 100% 1
4 LANGUASCO, A , SETTIMI, V , (2012) ON A DIOPHANTINE PROBLEM WITH ONE PRIME, TWO SQUARES OF PRIMES AND S POWERS OF TWO.ACTA ARITHMETICA. VOL. 154. ISSUE 4. P. 385 -412 21 100% 1
5 WEI, B , WOOLEY, TD , (2015) ON SUMS OF POWERS OF ALMOST EQUAL PRIMES.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 111. ISSUE . P. 1130 -1162 21 88% 2
6 HARMAN, G , KUMCHEV, A , (2010) ON SUMS OF SQUARES OF PRIMES II.JOURNAL OF NUMBER THEORY. VOL. 130. ISSUE 9. P. 1969 -2002 18 100% 8
7 LIU, ZX , LU, GS , (2010) EIGHT CUBES OF PRIMES AND POWERS OF 2.ACTA ARITHMETICA. VOL. 145. ISSUE 2. P. 171-192 18 95% 3
8 MAYNARD, J , (2016) DENSE CLUSTERS OF PRIMES IN SUBSETS.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 7. P. 1517 -1554 13 100% 1
9 LU, GS , SUN, HW , (2009) INTEGERS REPRESENTED AS THE SUM OF ONE PRIME, TWO SQUARES OF PRIMES AND POWERS OF 2.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 137. ISSUE 4. P. 1185 -1191 16 100% 9
10 KUMCHEV, A , LI, TY , (2012) SUMS OF ALMOST EQUAL SQUARES OF PRIMES.JOURNAL OF NUMBER THEORY. VOL. 132. ISSUE 4. P. 608-636 15 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES
2 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
3 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
4 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
5 13255 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
6 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
7 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
8 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
9 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
10 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA

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