Class information for:
Level 1: MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12985 868 15.3 38%


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
12985 1                   MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES 868

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 MANINS CONJECTURE authKW 562840 2% 100% 16
2 HARDY LITTLEWOOD METHOD authKW 319774 2% 45% 20
3 FORMS IN MANY VARIABLES authKW 316598 1% 100% 9
4 WARINGS PROBLEM authKW 258527 2% 35% 21
5 APPLICATIONS OF THE HARDY LITTLEWOOD METHOD authKW 211065 1% 100% 6
6 RATIONAL POINTS authKW 209619 3% 20% 30
7 UNIVERSAL TORSORS authKW 191519 1% 78% 7
8 MANIN CONJECTURE authKW 146571 1% 83% 5
9 ACTA ARITHMETICA journal 134808 13% 3% 111
10 HARDY LITTLEWOOD CIRCLE METHOD authKW 115121 1% 55% 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 44138 96% 0% 831
2 Mathematics, Applied 650 12% 0% 104
3 Multidisciplinary Sciences 76 2% 0% 16
4 Computer Science, Theory & Methods 0 1% 0% 7
5 Statistics & Probability -1 0% 0% 3
6 Computer Science, Interdisciplinary Applications -2 0% 0% 3
7 Computer Science, Software Engineering -3 0% 0% 1
8 Mechanics -3 0% 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 ARITHMET GEOMETRIE ALGEBR ORSAY 70355 0% 100% 2
2 MATH LEIDEN 70355 0% 100% 2
3 PUBLISHING NAUKA 70355 0% 100% 2
4 MATH A 46131 2% 6% 21
5 ARITHIMET GEOMETRIE ALGEBRIQUE ORSAY 35178 0% 100% 1
6 BUR 7C14 35178 0% 100% 1
7 BUR 7C18 35178 0% 100% 1
8 CHAIRE CRYPTOL 35178 0% 100% 1
9 CICLO BASICO COMAN 35178 0% 100% 1
10 DOKL ROSS AKAD NAUK 35178 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 ACTA ARITHMETICA 134808 13% 3% 111
2 MATHEMATIKA 71575 5% 5% 42
3 JOURNAL OF NUMBER THEORY 35597 8% 1% 69
4 PROGRESS IN MATHEMATICS 35176 0% 50% 2
5 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 21435 4% 2% 35
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 18857 5% 1% 44
7 MONATSHEFTE FUR MATHEMATIK 13956 3% 1% 30
8 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 12635 4% 1% 36
9 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 11069 3% 1% 30
10 QUARTERLY JOURNAL OF MATHEMATICS 10762 2% 1% 21

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 MANINS CONJECTURE 562840 2% 100% 16 Search MANINS+CONJECTURE Search MANINS+CONJECTURE
2 HARDY LITTLEWOOD METHOD 319774 2% 45% 20 Search HARDY+LITTLEWOOD+METHOD Search HARDY+LITTLEWOOD+METHOD
3 FORMS IN MANY VARIABLES 316598 1% 100% 9 Search FORMS+IN+MANY+VARIABLES Search FORMS+IN+MANY+VARIABLES
4 WARINGS PROBLEM 258527 2% 35% 21 Search WARINGS+PROBLEM Search WARINGS+PROBLEM
5 APPLICATIONS OF THE HARDY LITTLEWOOD METHOD 211065 1% 100% 6 Search APPLICATIONS+OF+THE+HARDY+LITTLEWOOD+METHOD Search APPLICATIONS+OF+THE+HARDY+LITTLEWOOD+METHOD
6 RATIONAL POINTS 209619 3% 20% 30 Search RATIONAL+POINTS Search RATIONAL+POINTS
7 UNIVERSAL TORSORS 191519 1% 78% 7 Search UNIVERSAL+TORSORS Search UNIVERSAL+TORSORS
8 MANIN CONJECTURE 146571 1% 83% 5 Search MANIN+CONJECTURE Search MANIN+CONJECTURE
9 HARDY LITTLEWOOD CIRCLE METHOD 115121 1% 55% 6 Search HARDY+LITTLEWOOD+CIRCLE+METHOD Search HARDY+LITTLEWOOD+CIRCLE+METHOD
10 REPRESENTATION PROBLEMS 112566 0% 80% 4 Search REPRESENTATION+PROBLEMS Search REPRESENTATION+PROBLEMS

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 DERENTHAL, U , FREI, C , (2014) COUNTING IMAGINARY QUADRATIC POINTS VIA UNIVERSAL TORSORS.COMPOSITIO MATHEMATICA. VOL. 150. ISSUE 10. P. 1631 -1678 35 92% 3
2 PARSELL, ST , WOOLEY, TD , (2014) EXCEPTIONAL SETS FOR DIOPHANTINE INEQUALITIES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 14. P. 3919 -3974 35 92% 2
3 FREI, C , PIEROPAN, M , (2016) O-MINIMALITY ON TWISTED UNIVERSAL TORSORS AND MANIN'S CONJECTURE OVER NUMBER FIELDS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 49. ISSUE 4. P. 757 -811 29 83% 0
4 BOURQUI, D , (2016) ALGEBRAIC POINTS, NON-ANTICANONICAL HEIGHTS AND THE SEVERI PROBLEM ON TORIC VARIETIES.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 113. ISSUE . P. 474 -514 25 93% 0
5 PARSELL, ST , (2012) HUA-TYPE ITERATION FOR MULTIDIMENSIONAL WEYL SUMS.MATHEMATIKA. VOL. 58. ISSUE 2. P. 209-224 24 100% 1
6 BRUDERN, J , ROBERT, O , (2015) RATIONAL POINTS ON LINEAR SLICES OF DIAGONAL HYPERSURFACES.NAGOYA MATHEMATICAL JOURNAL. VOL. 218. ISSUE . P. 51 -100 23 96% 1
7 FREI, C , (2013) COUNTING RATIONAL POINTS OVER NUMBER FIELDS ON A SINGULAR CUBIC SURFACE.ALGEBRA & NUMBER THEORY. VOL. 7. ISSUE 6. P. 1451-1479 20 95% 3
8 PIEROPAN, M , (2016) IMAGINARY QUADRATIC POINTS ON TORIC VARIETIES VIA UNIVERSAL TORSORS.MANUSCRIPTA MATHEMATICA. VOL. 150. ISSUE 3-4. P. 415 -439 19 95% 0
9 DARTYGE, C , (2015) CHEBYCHEV'S PROBLEM FOR THE 12TH CYCLOTOMIC POLYNOMIAL.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 111. ISSUE . P. 1 -62 21 84% 1
10 BRUDEN, J , WOOLEY, TD , (2014) SUBCONVEXITY FOR ADDITIVE EQUATIONS: PAIRS OF UNDENARY CUBIC FORMS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 696. ISSUE . P. 31 -67 19 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
2 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
3 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
4 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
5 13255 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
6 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
7 29968 SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD
8 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
9 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
10 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD

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