Class information for:
Level 1: PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17132 616 15.2 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
17132 1                   PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD 616

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 PREHOMOGENEOUS VECTOR SPACES authKW 802999 4% 60% 27
2 CLASS GROUP authKW 191434 4% 15% 26
3 QUADRATIC FUNCTION FIELD authKW 162221 1% 55% 6
4 3 RANK authKW 158620 1% 80% 4
5 BINARY HERMITIAN FORMS authKW 158620 1% 80% 4
6 CLASS NUMBER authKW 156023 5% 11% 28
7 DISCRIMINANT COUNTING authKW 148707 0% 100% 3
8 COHEN LENSTRA HEURISTICS authKW 118959 1% 40% 6
9 CUBIC FIELDS authKW 117486 1% 30% 8
10 LOCAL ZETA FUNCTIONS authKW 113297 1% 57% 4

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 28912 92% 0% 567
2 Mathematics, Applied 739 15% 0% 91
3 Computer Science, Theory & Methods 1 1% 0% 7
4 Multidisciplinary Sciences 0 0% 0% 2
5 Statistics & Probability -0 0% 0% 3
6 Psychology, Experimental -1 0% 0% 1
7 Computer Science, Software Engineering -2 0% 0% 1
8 Cardiac & Cardiovascular System -7 0% 0% 1
9 Neurosciences -16 0% 0% 1
10 Materials Science, Multidisciplinary -23 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 UMR 5465 74345 1% 25% 6
2 JFLI CNRS 49569 0% 100% 1
3 MATHEMATIQUES ORSAY 49569 0% 100% 1
4 RECH MATH AVANCEES UA 001 CNRS 49569 0% 100% 1
5 UMRXLIM 49569 0% 100% 1
6 UP A 6090 CNRS 49569 0% 100% 1
7 URA CNRS 750 49569 0% 100% 1
8 UMR 5465 CNRS 39653 0% 40% 2
9 A2X 33735 1% 9% 8
10 AX2 24784 0% 50% 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 37955 10% 1% 60
2 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 22496 5% 1% 32
3 ACTA ARITHMETICA 17784 6% 1% 34
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 12757 3% 2% 17
5 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 12350 5% 1% 30
6 NAGOYA MATHEMATICAL JOURNAL 11806 3% 1% 17
7 MATHEMATICS OF COMPUTATION 9072 4% 1% 27
8 JOURNAL OF ALGEBRA 4894 6% 0% 36
9 TOHOKU MATHEMATICAL JOURNAL 4859 2% 1% 11
10 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 4076 2% 1% 12

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 PREHOMOGENEOUS VECTOR SPACES 802999 4% 60% 27 Search PREHOMOGENEOUS+VECTOR+SPACES Search PREHOMOGENEOUS+VECTOR+SPACES
2 CLASS GROUP 191434 4% 15% 26 Search CLASS+GROUP Search CLASS+GROUP
3 QUADRATIC FUNCTION FIELD 162221 1% 55% 6 Search QUADRATIC+FUNCTION+FIELD Search QUADRATIC+FUNCTION+FIELD
4 3 RANK 158620 1% 80% 4 Search 3+RANK Search 3+RANK
5 BINARY HERMITIAN FORMS 158620 1% 80% 4 Search BINARY+HERMITIAN+FORMS Search BINARY+HERMITIAN+FORMS
6 CLASS NUMBER 156023 5% 11% 28 Search CLASS+NUMBER Search CLASS+NUMBER
7 DISCRIMINANT COUNTING 148707 0% 100% 3 Search DISCRIMINANT+COUNTING Search DISCRIMINANT+COUNTING
8 COHEN LENSTRA HEURISTICS 118959 1% 40% 6 Search COHEN+LENSTRA+HEURISTICS Search COHEN+LENSTRA+HEURISTICS
9 CUBIC FIELDS 117486 1% 30% 8 Search CUBIC+FIELDS Search CUBIC+FIELDS
10 LOCAL ZETA FUNCTIONS 113297 1% 57% 4 Search LOCAL+ZETA+FUNCTIONS Search LOCAL+ZETA+FUNCTIONS

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 BELABAS, K , (2005) PARAMETRISATION OF ALGEBRAIC STRUCTURES AND DENSITY OF DISCRIMINATORIES.ASTERISQUE. VOL. . ISSUE 299. P. 267-299 25 93% 4
2 COHEN, H , THORNE, F , (2014) DIRICHLET SERIES ASSOCIATED TO CUBIC FIELDS WITH GIVEN QUADRATIC RESOLVENT.MICHIGAN MATHEMATICAL JOURNAL. VOL. 63. ISSUE 2. P. 253 -273 16 100% 0
3 BELABAS, K , BHARGAVA, M , POMERANCE, C , (2010) ERROR ESTIMATES FOR THE DAVENPORT-HEILBRONN THEOREMS.DUKE MATHEMATICAL JOURNAL. VOL. 153. ISSUE 1. P. 173-210 17 89% 4
4 WOOD, MM , (2010) ON THE PROBABILITIES OF LOCAL BEHAVIORS IN ABELIAN FIELD EXTENSIONS.COMPOSITIO MATHEMATICA. VOL. 146. ISSUE 1. P. 102-128 15 100% 6
5 JACOBSON, MJ , SCHEIDLER, R , ROZENHART, P , (2015) COMPUTING QUADRATIC FUNCTION FIELDS WITH HIGH 3-RANK VIA CUBIC FIELD TABULATION.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 45. ISSUE 6. P. 1985 -2022 13 100% 1
6 TANIGUCHI, T , THORNE, F , (2013) SECONDARY TERMS IN COUNTING FUNCTIONS FOR CUBIC FIELDS.DUKE MATHEMATICAL JOURNAL. VOL. 162. ISSUE 13. P. 2451-2508 17 77% 7
7 WOOD, MM , (2014) PARAMETRIZATION OF IDEAL CLASSES IN RINGS ASSOCIATED TO BINARY FORMS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 689. ISSUE . P. 169 -199 12 100% 0
8 KABLE, AC , YUKIE, A , (2005) ON THE NUMBER OF QUINTIC FIELDS.INVENTIONES MATHEMATICAE. VOL. 160. ISSUE 2. P. 217-259 15 100% 2
9 PACELLI, AM , ROSEN, M , (2009) INDIVISIBILITY OF CLASS NUMBERS OF GLOBAL FUNCTION FIELDS.ACTA ARITHMETICA. VOL. 138. ISSUE 3. P. 269-287 13 100% 0
10 DAUB, M , LANG, J , MERLING, M , PACELLI, AM , PITIWAN, N , ROSEN, M , (2011) FUNCTION FIELDS WITH CLASS NUMBER INDIVISIBLE BY A PRIME L.ACTA ARITHMETICA. VOL. 150. ISSUE 4. P. 339-359 15 79% 0

Classes with closest relation at Level 1


Rank Class id link
1 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER
2 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
3 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
4 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
5 18343 CHARACTER SHEAVES//SPRINGER CORRESPONDENCE//GEOMETRIC LANGLANDS PROGRAM
6 13158 D MODULES//HYPERGEOMETRIC SYSTEMS//D MODULE
7 19760 GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES
8 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
9 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
10 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES

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