Class information for:
Level 1: DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22598 375 16.8 33%


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
688 3       CONVEX BODY//STEREOLOGY//STAR BODY 8168
2478 2             CONVEX BODY//STAR BODY//INTERSECTION BODY 3957
22598 1                   DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL 375

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 DEDEKIND SUMS authKW 631012 8% 25% 31
2 SUBDIVISION ALGEBRA authKW 488561 2% 100% 6
3 EHRHART POLYNOMIAL authKW 365684 4% 28% 16
4 VIRTUAL POLYTOPE authKW 260564 1% 80% 4
5 ROOT POLYTOPE authKW 254455 1% 63% 5
6 RATIONAL GENERATING FUNCTIONS authKW 186115 1% 57% 4
7 KOSTANT PARTITION FUNCTION authKW 183209 1% 75% 3
8 BARVINOKS ALGORITHM authKW 162854 1% 100% 2
9 HOMOGENEOUS SINGULARITIES authKW 162854 1% 100% 2
10 HYPERBOLIC VIRTUAL POLYTOPE authKW 162854 1% 100% 2

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 15371 86% 0% 323
2 Mathematics, Applied 1171 23% 0% 86
3 Computer Science, Theory & Methods 150 6% 0% 23
4 Operations Research & Management Science 78 4% 0% 14
5 Computer Science, Software Engineering 8 2% 0% 6
6 Logic 4 0% 0% 1
7 Multidisciplinary Sciences 4 1% 0% 3
8 Computer Science, Hardware & Architecture 3 1% 0% 3
9 Computer Science, Information Systems 0 1% 0% 3
10 Imaging Science & Photographic Technology 0 0% 0% 1

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 ANAL FUNCESTRUTURAS LINEA LICACOES 81427 0% 100% 1
2 ANAL MATEMAT GEOMETRIA SIST DINAM 81427 0% 100% 1
3 ANALISE MATEMAT GEOMETRIA SIST DINAM 81427 0% 100% 1
4 MATH ALGEBRA GEOMETRY 81427 0% 100% 1
5 MSCS MC 249 81427 0% 100% 1
6 LOW TEMP PHYS TECH 81425 1% 50% 2
7 MATH BUD EST 40712 0% 50% 1
8 YTUT MATEMAT 40712 0% 50% 1
9 CIVESTAV 27141 0% 33% 1
10 THEORIE GRP 19156 1% 12% 2

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 JOURNAL OF NUMBER THEORY 13565 7% 1% 28
2 ACTA ARITHMETICA 5678 4% 0% 15
3 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 4206 2% 1% 6
4 DISCRETE & COMPUTATIONAL GEOMETRY 3937 3% 0% 10
5 ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 2957 1% 2% 2
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 2245 3% 0% 10
7 RAMANUJAN JOURNAL 1966 1% 0% 5
8 ADVANCES IN MATHEMATICS 1727 3% 0% 10
9 MATHEMATISCHE ANNALEN 1720 3% 0% 10
10 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 1525 1% 1% 2

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 DEDEKIND SUMS 631012 8% 25% 31 Search DEDEKIND+SUMS Search DEDEKIND+SUMS
2 SUBDIVISION ALGEBRA 488561 2% 100% 6 Search SUBDIVISION+ALGEBRA Search SUBDIVISION+ALGEBRA
3 EHRHART POLYNOMIAL 365684 4% 28% 16 Search EHRHART+POLYNOMIAL Search EHRHART+POLYNOMIAL
4 VIRTUAL POLYTOPE 260564 1% 80% 4 Search VIRTUAL+POLYTOPE Search VIRTUAL+POLYTOPE
5 ROOT POLYTOPE 254455 1% 63% 5 Search ROOT+POLYTOPE Search ROOT+POLYTOPE
6 RATIONAL GENERATING FUNCTIONS 186115 1% 57% 4 Search RATIONAL+GENERATING+FUNCTIONS Search RATIONAL+GENERATING+FUNCTIONS
7 KOSTANT PARTITION FUNCTION 183209 1% 75% 3 Search KOSTANT+PARTITION+FUNCTION Search KOSTANT+PARTITION+FUNCTION
8 BARVINOKS ALGORITHM 162854 1% 100% 2 Search BARVINOKS+ALGORITHM Search BARVINOKS+ALGORITHM
9 HOMOGENEOUS SINGULARITIES 162854 1% 100% 2 Search HOMOGENEOUS+SINGULARITIES Search HOMOGENEOUS+SINGULARITIES
10 HYPERBOLIC VIRTUAL POLYTOPE 162854 1% 100% 2 Search HYPERBOLIC+VIRTUAL+POLYTOPE Search HYPERBOLIC+VIRTUAL+POLYTOPE

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 YAU, SST , ZHAO, LD , (2013) SHARP POLYNOMIAL ESTIMATE OF INTEGRAL POINTS IN RIGHT-ANGLED SIMPLICES.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 2. P. 398 -425 14 100% 0
2 LUO, X , YAU, SST , ZUO, HQ , (2015) A SHARP POLYNOMIAL ESTIMATE OF POSITIVE INTEGRAL POINTS IN A 4-DIMENSIONAL TETRAHEDRON AND A SHARP ESTIMATE OF THE DICKMAN-DE BRUIJN FUNCTION.MATHEMATISCHE NACHRICHTEN. VOL. 288. ISSUE 1. P. 61 -75 13 100% 1
3 BECK, M , (2004) THE PARTIAL-FRACTIONS METHOD FOR COUNTING SOLUTIONS TO INTEGRAL LINEAR SYSTEMS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 32. ISSUE 4. P. 437-446 17 100% 7
4 LIN, KP , LUO, X , YAU, SST , ZUO, HQ , (2014) ON A NUMBER-THEORETIC CONJECTURE ON POSITIVE INTEGRAL POINTS IN A 5-DIMENSIONAL TETRAHEDRON AND A SHARP ESTIMATE OF THE DICKMAN-DE BRUIJN FUNCTION.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 9. P. 1937 -1966 13 100% 1
5 KARSHON, Y , STERNBERG, S , WEITSMAN, J , (2007) EXACT EULER-MACLAURIN FORMULAS FOR SIMPLE LATTICE POLYTOPES.ADVANCES IN APPLIED MATHEMATICS. VOL. 39. ISSUE 1. P. 1-50 16 89% 2
6 LIANG, A , YAU, S , ZUO, HQ , (2016) A SHARP ESTIMATE OF POSITIVE INTEGRAL POINTS IN 6-DIMENSIONAL POLYHEDRA AND A SHARP ESTIMATE OF SMOOTH NUMBERS.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 3. P. 425 -444 15 75% 0
7 BALDONI, V , BERLINE, N , DE LOERA, JA , KOPPE, M , VERGNE, M , (2012) COMPUTATION OF THE HIGHEST COEFFICIENTS OF WEIGHTED EHRHART QUASI-POLYNOMIALS OF RATIONAL POLYHEDRA.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 12. ISSUE 4. P. 435-469 13 93% 2
8 YAU, ST , ZHANG, L , (2009) ON FORMULAS FOR DEDEKIND SUMS AND THE NUMBER OF LATTICE POINTS IN TETRAHEDRA.JOURNAL OF NUMBER THEORY. VOL. 129. ISSUE 8. P. 1931-1955 13 100% 0
9 BERLINE, N , VERGNE, M , (2007) LOCAL EULER-MACLAURIN FORMULA FOR POLYTOPES.MOSCOW MATHEMATICAL JOURNAL. VOL. 7. ISSUE 3. P. 355 -386 12 100% 12
10 WANG, XJ , YAU, S , (2007) ON THE GLY CONJECTURE OF UPPER ESTIMATE OF POSITIVE INTEGRAL POINTS IN REAL RIGHT-ANGLED SIMPLICES.JOURNAL OF NUMBER THEORY. VOL. 122. ISSUE 1. P. 184-210 13 93% 8

Classes with closest relation at Level 1


Rank Class id link
1 22474 EHRHART POLYNOMIAL//DELTA VECTOR//LATTICE POLYTOPES
2 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA
3 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
4 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
5 19225 NUMERICAL SEMIGROUP//FROBENIUS NUMBER//MONOMIAL CURVE
6 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
7 9189 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
8 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
9 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
10 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER

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