Class information for:
Level 1: CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15612 702 13.0 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
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
15612 1                   CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER 702

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 CLASS NUMBER authKW 760827 9% 27% 66
2 CM FIELD authKW 639138 3% 64% 23
3 RELATIVE CLASS NUMBER authKW 621863 3% 62% 23
4 FUNDAMENTAL UNITS authKW 533038 3% 51% 24
5 REAL QUADRATIC FIELDS authKW 333441 3% 33% 23
6 UPR 906 address 223694 1% 86% 6
7 COHOMOLOGY SETS authKW 217482 1% 100% 5
8 CUBIC ORDERS authKW 217482 1% 100% 5
9 PURELY CUBIC FUNCTION FIELD authKW 173985 1% 100% 4
10 DEDEKIND ZETA FUNCTION authKW 149999 2% 27% 13

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 26898 83% 0% 585
2 Mathematics, Applied 1830 21% 0% 148
3 Computer Science, Theory & Methods 56 3% 0% 22
4 Statistics & Probability 20 2% 0% 13
5 COMPUTER APPLICATIONS & CYBERNETICS 15 0% 0% 1
6 Multidisciplinary Sciences 8 1% 0% 6
7 Physics, Mathematical -2 0% 0% 2
8 Physics, Particles & Fields -5 0% 0% 1
9 Nanoscience & Nanotechnology -6 0% 0% 1
10 Physics, Multidisciplinary -10 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 UPR 906 223694 1% 86% 6
2 INFORMAT SECUR BASIC TEAM 86993 0% 100% 2
3 UMR 6206 49982 2% 9% 13
4 CIGMA 43496 0% 100% 1
5 CNRS 5465 43496 0% 100% 1
6 CRE ALGEBRA NUMBER THEORY 43496 0% 100% 1
7 FUKASAKU MINUMA KU 43496 0% 100% 1
8 INFORMAT SECURITY CRYPTOGR H 43496 0% 100% 1
9 MATH STAT CICMA 43496 0% 100% 1
10 SIDDHARTHA 43496 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 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 100076 10% 3% 72
2 JOURNAL OF NUMBER THEORY 80082 13% 2% 93
3 ACTA ARITHMETICA 70104 10% 2% 72
4 MATHEMATICS OF COMPUTATION 58390 10% 2% 73
5 NAGOYA MATHEMATICAL JOURNAL 14340 3% 2% 20
6 EXPERIMENTAL MATHEMATICS 4835 1% 1% 9
7 INTERNATIONAL JOURNAL OF NUMBER THEORY 3864 1% 1% 10
8 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 3259 1% 2% 4
9 UTILITAS MATHEMATICA 3170 2% 1% 11
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 2684 3% 0% 23

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 CLASS NUMBER 760827 9% 27% 66 Search CLASS+NUMBER Search CLASS+NUMBER
2 CM FIELD 639138 3% 64% 23 Search CM+FIELD Search CM+FIELD
3 RELATIVE CLASS NUMBER 621863 3% 62% 23 Search RELATIVE+CLASS+NUMBER Search RELATIVE+CLASS+NUMBER
4 FUNDAMENTAL UNITS 533038 3% 51% 24 Search FUNDAMENTAL+UNITS Search FUNDAMENTAL+UNITS
5 REAL QUADRATIC FIELDS 333441 3% 33% 23 Search REAL+QUADRATIC+FIELDS Search REAL+QUADRATIC+FIELDS
6 COHOMOLOGY SETS 217482 1% 100% 5 Search COHOMOLOGY+SETS Search COHOMOLOGY+SETS
7 CUBIC ORDERS 217482 1% 100% 5 Search CUBIC+ORDERS Search CUBIC+ORDERS
8 PURELY CUBIC FUNCTION FIELD 173985 1% 100% 4 Search PURELY+CUBIC+FUNCTION+FIELD Search PURELY+CUBIC+FUNCTION+FIELD
9 DEDEKIND ZETA FUNCTION 149999 2% 27% 13 Search DEDEKIND+ZETA+FUNCTION Search DEDEKIND+ZETA+FUNCTION
10 POLYNOMIAL PELLS EQUATION 130489 0% 100% 3 Search POLYNOMIAL+PELLS+EQUATION Search POLYNOMIAL+PELLS+EQUATION

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 PARK, SM , KWON, SH , (2007) CLASS NUMBER ONE PROBLEM FOR NORMAL CM-FIELDS.JOURNAL OF NUMBER THEORY. VOL. 125. ISSUE 1. P. 59-84 28 93% 1
2 KWON, SH , LOUBOUTIN, S , PARK, SM , (2009) NONABELIAN NORMAL CM-FIELDS OF DEGREE 2PQ.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 87. ISSUE 1. P. 129 -144 23 96% 0
3 LOUBOUTIN, S , (2001) EXPLICIT UPPER BOUNDS FOR RESIDUES OF DEDEKIND ZETA FUNCTIONS AND VALUES OF L-FUNCTIONS AT S=1, AND EXPLICIT LOWER BOUNDS FOR RELATIVE CLASS NUMBERS OF CM-FIELDS.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 53. ISSUE 6. P. 1194 -1222 28 93% 18
4 LOUBOUTIN, SR , (2006) LOWER BOUNDS FOR RELATIVE CLASS NUMBERS OF IMAGINARY ABELIAN NUMBER FIELDS AND CM-FIELDS.ACTA ARITHMETICA. VOL. 121. ISSUE 3. P. 199 -220 22 85% 4
5 LOUBOUTIN, SR , (2005) THE BRAUER-SIEGEL THEOREM.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 72. ISSUE . P. 40-52 18 100% 9
6 LOUBOUTIN, S , (2003) EXPLICIT LOWER BOUNDS FOR RESIDUES AT S=1 OF DEDEKIND ZETA FUNCTIONS AND RELATIVE CLASS NUMBERS OF CM-FIELDS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 355. ISSUE 8. P. 3079-3098 20 87% 16
7 LOUBOUTIN, SR , (2006) EFFICIENT COMPUTATION OF ROOT NUMBERS AND CLASS NUMBERS OF PARAMETRIZED FAMILIES OF REAL ABELIAN NUMBER FIELDS.MATHEMATICS OF COMPUTATION. VOL. 76. ISSUE 257. P. 455-473 18 90% 0
8 PARK, SM , YANG, HS , KWON, SH , (2007) THE CLASS NUMBER ONE PROBLEM FOR THE NORMAL CM-FIELDS OF DEGREE 32.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 359. ISSUE 10. P. 5057 -5089 18 86% 0
9 CHANG, KY , KWON, SH , (2003) THE CLASS NUMBER ONE PROBLEM FOR SOME NON-ABELIAN NORMAL CM-FIELDS OF DEGREE 48.MATHEMATICS OF COMPUTATION. VOL. 72. ISSUE 242. P. 1003-1017 18 95% 1
10 LEE, JH , LOUBOUTIN, SR , (2014) ON THE FUNDAMENTAL UNITS OF SOME CUBIC ORDERS GENERATED BY UNITS.ACTA ARITHMETICA. VOL. 165. ISSUE 3. P. 283 -299 13 87% 3

Classes with closest relation at Level 1


Rank Class id link
1 28473 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//SIMULTANEOUS DIOPHANTINE APPROXIMATIONS
2 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD
3 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
4 5025 EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS
5 22321 SPINOR CLASS FIELDS//TERNARY QUADRATIC FORMS//REPRESENTATIONS OF INTEGERS
6 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
7 23999 DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM
8 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
9 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
10 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL

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