Class information for:
Level 1: SPINOR CLASS FIELDS//TERNARY QUADRATIC FORMS//REPRESENTATIONS OF INTEGERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22321 386 14.3 28%


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
1909 2             MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS 5891
22321 1                   SPINOR CLASS FIELDS//TERNARY QUADRATIC FORMS//REPRESENTATIONS OF INTEGERS 386

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 SPINOR CLASS FIELDS authKW 553745 2% 100% 7
2 TERNARY QUADRATIC FORMS authKW 527369 3% 67% 10
3 REPRESENTATIONS OF INTEGERS authKW 355976 2% 75% 6
4 MAXIMAL ORDERS authKW 319048 3% 37% 11
5 INDECOMPOSABLE LATTICE authKW 316425 1% 100% 4
6 SPINOR GENERA authKW 316425 1% 100% 4
7 INDECOMPOSABLE LATTICE FORM authKW 237319 1% 100% 3
8 SPINOR GENUS authKW 237319 1% 100% 3
9 UNIVERSAL FORMS authKW 237319 1% 100% 3
10 MINIMAL VECTOR authKW 219057 2% 46% 6

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 19033 94% 0% 364
2 Mathematics, Applied 445 15% 0% 56
3 Multidisciplinary Sciences 58 2% 0% 9
4 Statistics & Probability 0 1% 0% 3
5 Computer Science, Hardware & Architecture -0 0% 0% 1
6 Engineering, General -1 0% 0% 1
7 Computer Science, Information Systems -1 0% 0% 1
8 Physics, Mathematical -1 0% 0% 1
9 Engineering, Electrical & Electronic -8 1% 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 SOC FELLOWSDPT ECON 79106 0% 100% 1
2 HIGH END COMP 26367 0% 33% 1
3 BEIJING MATH INFORMAT INTERDISCIPLINARY SCI 15820 0% 20% 1
4 FB MATH 9 13183 0% 17% 1
5 BOYD STUDIES 11860 1% 5% 3
6 ABORAT INNOVAT MATH 9887 0% 13% 1
7 MAT FIS 7909 0% 10% 1
8 ALGEBRA NUMBER THEORY 5292 1% 1% 5
9 MATH 3599 36% 0% 140
10 COMPUTAT SOC 3594 0% 5% 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 94790 19% 2% 75
2 ACTA ARITHMETICA 15353 6% 1% 25
3 NAGOYA MATHEMATICAL JOURNAL 7889 3% 1% 11
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 7043 3% 1% 10
5 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 5934 1% 2% 4
6 MATHEMATIKA 5830 2% 1% 8
7 RAMANUJAN JOURNAL 4899 2% 1% 8
8 DOCUMENTA MATHEMATICA 3422 1% 1% 4
9 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 3145 3% 0% 12
10 AMERICAN MATHEMATICAL MONTHLY 2913 3% 0% 10

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 SPINOR CLASS FIELDS 553745 2% 100% 7 Search SPINOR+CLASS+FIELDS Search SPINOR+CLASS+FIELDS
2 TERNARY QUADRATIC FORMS 527369 3% 67% 10 Search TERNARY+QUADRATIC+FORMS Search TERNARY+QUADRATIC+FORMS
3 REPRESENTATIONS OF INTEGERS 355976 2% 75% 6 Search REPRESENTATIONS+OF+INTEGERS Search REPRESENTATIONS+OF+INTEGERS
4 MAXIMAL ORDERS 319048 3% 37% 11 Search MAXIMAL+ORDERS Search MAXIMAL+ORDERS
5 INDECOMPOSABLE LATTICE 316425 1% 100% 4 Search INDECOMPOSABLE+LATTICE Search INDECOMPOSABLE+LATTICE
6 SPINOR GENERA 316425 1% 100% 4 Search SPINOR+GENERA Search SPINOR+GENERA
7 INDECOMPOSABLE LATTICE FORM 237319 1% 100% 3 Search INDECOMPOSABLE+LATTICE+FORM Search INDECOMPOSABLE+LATTICE+FORM
8 SPINOR GENUS 237319 1% 100% 3 Search SPINOR+GENUS Search SPINOR+GENUS
9 UNIVERSAL FORMS 237319 1% 100% 3 Search UNIVERSAL+FORMS Search UNIVERSAL+FORMS
10 MINIMAL VECTOR 219057 2% 46% 6 Search MINIMAL+VECTOR Search MINIMAL+VECTOR

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 ARENAS-CARMONA, L , (2015) ROOTS OF UNITY IN DEFINITE QUATERNION ORDERS.ACTA ARITHMETICA. VOL. 170. ISSUE 4. P. 381 -393 13 100% 0
2 ARENAS-CARMONA, L , (2013) EICHLER ORDERS, TREES AND REPRESENTATION FIELDS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 9. ISSUE 7. P. 1725-1741 12 92% 0
3 BUDARINA, NV , (2012) ON PRIMITIVELY 2-UNIVERSAL QUADRATIC FORMS.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 23. ISSUE 3. P. 435-458 11 100% 0
4 SUN, ZW , (2015) ON UNIVERSAL SUMS OF POLYGONAL NUMBERS.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 7. P. 1367 -1396 9 100% 4
5 KIM, BM , KIM, JY , PARK, PS , (2011) COMPLETE CLASSIFICATION OF BINARY NORMAL REGULAR HERMITIAN LATTICES.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 63. ISSUE 3. P. 1001 -1025 10 100% 1
6 CHAN, WK , RICCI, J , (2015) THE REPRESENTATION OF INTEGERS BY POSITIVE TERNARY QUADRATIC POLYNOMIALS.JOURNAL OF NUMBER THEORY. VOL. 156. ISSUE . P. 75 -94 9 100% 0
7 HAENSCH, A , (2014) A CHARACTERIZATION OF ALMOST UNIVERSAL TERNARY QUADRATIC POLYNOMIALS WITH ODD PRIME POWER CONDUCTOR.JOURNAL OF NUMBER THEORY. VOL. 141. ISSUE . P. 202-213 9 100% 1
8 OH, BK , (2011) REGULAR POSITIVE TERNARY QUADRATIC FORMS.ACTA ARITHMETICA. VOL. 147. ISSUE 3. P. 233-243 9 100% 7
9 ARENAS-CARMONA, L , (2012) MAXIMAL SELECTIVITY FOR ORDERS IN FIELDS.JOURNAL OF NUMBER THEORY. VOL. 132. ISSUE 12. P. 2748 -2755 9 100% 0
10 MURATA, M , (2015) ON QUADRATIC DIOPHANTINE EQUATIONS IN FOUR VARIABLES AND ORDERS ASSOCIATED WITH LATTICES II.JOURNAL OF NUMBER THEORY. VOL. 149. ISSUE . P. 166 -200 8 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 7742 SIEGEL MODULAR FORMS//JACOBI FORMS//ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
2 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
3 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER
4 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
5 28736 FORM SPACES//POLYGONAL FORMS//TRADITIONAL FIELDS
6 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX
7 13823 COMPLEX HYPERBOLIC GEOMETRY//JORGENSENS INEQUALITY//COMPLEX HYPERBOLIC SPACE
8 25245 DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS
9 15354 WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT
10 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION

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