Class information for:
Level 1: TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6344 1497 14.9 34%


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
6344 1                   TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS 1497

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 TAME KERNEL authKW 734256 2% 100% 36
2 CLASS GROUP authKW 621003 5% 42% 73
3 IWASAWA INVARIANTS authKW 515793 2% 82% 31
4 IWASAWA THEORY authKW 501955 4% 43% 57
5 ZP EXTENSION authKW 348036 2% 74% 23
6 CAPITULATION authKW 274804 1% 84% 16
7 IDEAL CLASS GROUP authKW 262109 2% 46% 28
8 CLASS FIELD TOWER authKW 246207 1% 93% 13
9 CIRCULAR UNITS authKW 244752 1% 100% 12
10 JOURNAL OF NUMBER THEORY journal 233780 15% 5% 232

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 74596 95% 0% 1419
2 Mathematics, Applied 1187 12% 0% 184
3 Computer Science, Theory & Methods 11 1% 0% 22
4 Logic 0 0% 0% 1
5 Multidisciplinary Sciences -0 0% 0% 3
6 Statistics & Probability -7 0% 0% 1
7 Computer Science, Information Systems -8 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 THEORET INFORMAT MATH 141100 1% 43% 16
2 POLYDISCIPLINARY TAZA 50985 0% 50% 5
3 INFORMAT MATH AUTOMAT OPTOELECT 45890 0% 75% 3
4 IND TECHNOL MATH 40792 0% 100% 2
5 THEORET INFORMAT MATH OR 40792 0% 100% 2
6 COMPUTAT ALGEBRA GRP 30591 0% 50% 3
7 UMR 6623 22481 1% 6% 19
8 ACSA 20396 0% 100% 1
9 BBC RD N 20396 0% 100% 1
10 DIPARTIMENTO MATEMAT 2A 20396 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 JOURNAL OF NUMBER THEORY 233780 15% 5% 232
2 ACTA ARITHMETICA 160331 11% 5% 159
3 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 50845 5% 3% 75
4 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 33487 5% 2% 77
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 20986 2% 3% 34
6 NAGOYA MATHEMATICAL JOURNAL 18292 2% 3% 33
7 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 18253 2% 4% 24
8 COMPOSITIO MATHEMATICA 16825 3% 2% 45
9 MATHEMATICS OF COMPUTATION 16622 4% 1% 57
10 MANUSCRIPTA MATHEMATICA 13839 3% 1% 47

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 TAME KERNEL 734256 2% 100% 36 Search TAME+KERNEL Search TAME+KERNEL
2 CLASS GROUP 621003 5% 42% 73 Search CLASS+GROUP Search CLASS+GROUP
3 IWASAWA INVARIANTS 515793 2% 82% 31 Search IWASAWA+INVARIANTS Search IWASAWA+INVARIANTS
4 IWASAWA THEORY 501955 4% 43% 57 Search IWASAWA+THEORY Search IWASAWA+THEORY
5 ZP EXTENSION 348036 2% 74% 23 Search ZP+EXTENSION Search ZP+EXTENSION
6 CAPITULATION 274804 1% 84% 16 Search CAPITULATION Search CAPITULATION
7 IDEAL CLASS GROUP 262109 2% 46% 28 Search IDEAL+CLASS+GROUP Search IDEAL+CLASS+GROUP
8 CLASS FIELD TOWER 246207 1% 93% 13 Search CLASS+FIELD+TOWER Search CLASS+FIELD+TOWER
9 CIRCULAR UNITS 244752 1% 100% 12 Search CIRCULAR+UNITS Search CIRCULAR+UNITS
10 GREENBERGS CONJECTURE 203960 1% 100% 10 Search GREENBERGS+CONJECTURE Search GREENBERGS+CONJECTURE

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 NICKEL, A , (2016) INTEGRALITY OF STICKELBERGER ELEMENTS AND THE EQUIVARIANT TAMAGAWA NUMBER CONJECTURE.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 719. ISSUE . P. 101 -132 31 100% 0
2 JOHNSTON, H , NICKEL, A , (2016) ON THE EQUIVARIANT TAMAGAWA NUMBER CONJECTURE FOR TATE MOTIVES AND UNCONDITIONAL ANNIHILATION RESULTS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 9. P. 6539 -6574 30 81% 0
3 BURNS, D , (2011) ON DERIVATIVES OF ARTIN L-SERIES.INVENTIONES MATHEMATICAE. VOL. 186. ISSUE 2. P. 291-371 27 93% 12
4 BURNS, D , KURIHARA, M , SANO, T , (2016) ON ZETA ELEMENTS FOR G(M).DOCUMENTA MATHEMATICA. VOL. 21. ISSUE . P. 555 -626 26 87% 0
5 BURNS, D , (2010) ON LEADING TERMS AND VALUES OF EQUIVARIANT MOTIVIC L-FUNCTIONS.PURE AND APPLIED MATHEMATICS QUARTERLY. VOL. 6. ISSUE 1. P. 83 -172 32 78% 9
6 CHENG, XY , GUO, XJ , QIN, HR , (2014) THE DENSITIES FOR 3-RANKS OF TAME KERNELS OF CYCLIC CUBIC NUMBER FIELDS.SCIENCE CHINA-MATHEMATICS. VOL. 57. ISSUE 1. P. 43-47 24 96% 0
7 CHENG, XY , GUO, XJ , (2016) ON THE 2-PRIMARY PART OF TAME KERNELS OF REAL QUADRATIC FIELDS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 32. ISSUE 7. P. 807 -812 21 100% 0
8 CASTILLO, DM , (2013) ON HIGHER ORDER STICKELBERGER-TYPE THEOREMS.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 9. P. 3007-3032 21 95% 0
9 NICKEL, A , (2011) ON THE EQUIVARIANT TAMAGAWA NUMBER CONJECTURE IN TAME CM-EXTENSIONS.MATHEMATISCHE ZEITSCHRIFT. VOL. 268. ISSUE 1-2. P. 1 -35 19 100% 3
10 NICKEL, A , (2011) ON THE EQUIVARIANT TAMAGAWA NUMBER CONJECTURE IN TAME CM-EXTENSIONS, II.COMPOSITIO MATHEMATICA. VOL. 147. ISSUE 4. P. 1179 -1204 20 95% 1

Classes with closest relation at Level 1


Rank Class id link
1 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
2 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
3 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
4 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD
5 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER
6 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
7 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
8 7348 MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY
9 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
10 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS

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