Class information for:
Level 1: RECIPROCITY LAWS//CONTOU CARRERE SYMBOL//HIGHER ADELES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25858 270 19.1 25%


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
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
507 2             MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE 15257
25858 1                   RECIPROCITY LAWS//CONTOU CARRERE SYMBOL//HIGHER ADELES 270

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 RECIPROCITY LAWS authKW 720219 4% 58% 11
2 CONTOU CARRERE SYMBOL authKW 678562 2% 100% 6
3 HIGHER ADELES authKW 678562 2% 100% 6
4 TWO DIMENSIONAL LOCAL FIELDS authKW 565468 2% 100% 5
5 ARITHMETIC SURFACES authKW 407132 2% 60% 6
6 K 2 GROUP authKW 271418 2% 40% 6
7 DISCRETE HEISENBERG GROUP authKW 258496 1% 57% 4
8 ARTINIAN LOCAL RING authKW 226187 1% 100% 2
9 ASYMPTOTIC CASE authKW 226187 1% 100% 2
10 BEILINSON ADELES authKW 226187 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 12931 93% 0% 251
2 Mathematics, Applied 443 17% 0% 46
3 Physics, Mathematical 126 7% 0% 18
4 Multidisciplinary Sciences 2 1% 0% 2
5 Physics, Multidisciplinary -1 1% 0% 3

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 DIFFERENTIAL GEOMETRY PLICAT 201051 1% 44% 4
2 ESCOLA SUPER ENXENENA INFORMAT 113094 0% 100% 1
3 ESCOLA SUPER ENXENREIA INFORMAT 113094 0% 100% 1
4 INT SYST ANAL 113094 0% 100% 1
5 PL MATH SHANDONG 113094 0% 100% 1
6 SUPER INFORMAT ENGN 113094 0% 100% 1
7 CNRS UMR 6093 64622 1% 29% 2
8 MATH NAT SCI 2 50887 1% 15% 3
9 CONTROLE AUTOMAT 37697 0% 33% 1
10 STEKLOV MATH 34638 6% 2% 15

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 SBORNIK MATHEMATICS 10517 4% 1% 12
2 ALGEBRA & NUMBER THEORY 5600 2% 1% 5
3 MOSCOW MATHEMATICAL JOURNAL 5030 2% 1% 5
4 JOURNAL OF K-THEORY 3850 1% 1% 3
5 MATHEMATICS OF THE USSR-IZVESTIYA 3677 1% 1% 4
6 AMERICAN JOURNAL OF MATHEMATICS 3119 3% 0% 7
7 COMPOSITIO MATHEMATICA 2948 3% 0% 8
8 MATHEMATICA SCANDINAVICA 2936 2% 0% 6
9 COMMUNICATIONS IN ALGEBRA 2617 6% 0% 15
10 ST PETERSBURG MATHEMATICAL JOURNAL 2423 1% 1% 3

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 RECIPROCITY LAWS 720219 4% 58% 11 Search RECIPROCITY+LAWS Search RECIPROCITY+LAWS
2 CONTOU CARRERE SYMBOL 678562 2% 100% 6 Search CONTOU+CARRERE+SYMBOL Search CONTOU+CARRERE+SYMBOL
3 HIGHER ADELES 678562 2% 100% 6 Search HIGHER+ADELES Search HIGHER+ADELES
4 TWO DIMENSIONAL LOCAL FIELDS 565468 2% 100% 5 Search TWO+DIMENSIONAL+LOCAL+FIELDS Search TWO+DIMENSIONAL+LOCAL+FIELDS
5 ARITHMETIC SURFACES 407132 2% 60% 6 Search ARITHMETIC+SURFACES Search ARITHMETIC+SURFACES
6 K 2 GROUP 271418 2% 40% 6 Search K+2+GROUP Search K+2+GROUP
7 DISCRETE HEISENBERG GROUP 258496 1% 57% 4 Search DISCRETE+HEISENBERG+GROUP Search DISCRETE+HEISENBERG+GROUP
8 ARTINIAN LOCAL RING 226187 1% 100% 2 Search ARTINIAN+LOCAL+RING Search ARTINIAN+LOCAL+RING
9 ASYMPTOTIC CASE 226187 1% 100% 2 Search ASYMPTOTIC+CASE Search ASYMPTOTIC+CASE
10 BEILINSON ADELES 226187 1% 100% 2 Search BEILINSON+ADELES Search BEILINSON+ADELES

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 OSIPOV, D , ZHU, XW , (2016) THE TWO-DIMENSIONAL CONTOU-CARRERE SYMBOL AND RECIPROCITY LAWS.JOURNAL OF ALGEBRAIC GEOMETRY. VOL. 25. ISSUE 4. P. 703 -774 11 85% 2
2 XU, KJ , SUN, CC , (2016) ON CYCLOTOMIC ELEMENTS AND CYCLOTOMIC SUBGROUPS IN K-2 OF A FIELD.ACTA ARITHMETICA. VOL. 175. ISSUE 1. P. 1 -55 11 85% 0
3 FESENKO, I , (2015) GEOMETRIC ADELES AND THE RIEMANN ROCH THEOREM FOR 1-CYCLES ON SURFACES.MOSCOW MATHEMATICAL JOURNAL. VOL. 15. ISSUE 3. P. 435 -453 11 85% 0
4 LIU, DW , (2014) KATO'S RESIDUE HOMOMORPHISMS AND RECIPROCITY LAWS ON ARITHMETIC SURFACES.ADVANCES IN MATHEMATICS. VOL. 251. ISSUE . P. 1-21 11 85% 1
5 MORROW, M , (2010) AN EXPLICIT APPROACH TO RESIDUES ON AND DUALIZING SHEAVES OF ARITHMETIC SURFACES.NEW YORK JOURNAL OF MATHEMATICS. VOL. 16. ISSUE . P. 575 -627 14 70% 7
6 CAMARA, A , (2014) LOCALLY CONVEX STRUCTURES ON HIGHER LOCAL FIELDS.JOURNAL OF NUMBER THEORY. VOL. 143. ISSUE . P. 185 -213 9 100% 0
7 GORCHINSKIY, SO , OSIPOV, DV , (2015) A HIGHER-DIMENSIONAL CONTOU-CARRERE SYMBOL: LOCAL THEORY.SBORNIK MATHEMATICS. VOL. 206. ISSUE 9. P. 1191 -1259 10 77% 2
8 LIU, DW , (2016) RESIDUES AND DUALITY ON SEMI-LOCAL TWO-DIMENSIONAL ADELES.JOURNAL OF ALGEBRA. VOL. 448. ISSUE . P. 74 -83 7 100% 0
9 OSIPOV, DV , PARSHIN, AN , (2016) REPRESENTATIONS OF THE DISCRETE HEISENBERG GROUP ON DISTRIBUTION SPACES OF TWO-DIMENSIONAL LOCAL FIELDS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 292. ISSUE 1. P. 185 -201 7 100% 0
10 BROWKIN, J , (2010) CYCLOTOMIC ELEMENTS IN K2F, REVISITED.ACTA MATHEMATICA SCIENTIA. VOL. 30. ISSUE 1. P. 19 -26 9 82% 0

Classes with closest relation at Level 1


Rank Class id link
1 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
2 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
3 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
4 27268 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS
5 14746 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
6 7348 MOTIVIC COHOMOLOGY//ALGEBRAIC CYCLES//MOTIVIC HOMOTOPY THEORY
7 7735 BRILL NOETHER THEORY//GONALITY//LINEAR SERIES
8 30347 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM
9 6559 MODEL CATEGORY//ALGEBRAIC K THEORY//DG CATEGORIES
10 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION

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