Class information for:
Level 1: WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15354 717 18.6 38%


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
15354 1                   WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT 717

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 WEAKLY HOLOMORPHIC MODULAR FORMS authKW 908503 3% 89% 24
2 GENERALIZED MODULAR FORMS authKW 596208 2% 100% 14
3 BORCHERDS PRODUCT authKW 463711 2% 78% 14
4 VECTOR VALUED MODULAR FORMS authKW 463711 2% 78% 14
5 MODULAR FORMS authKW 458785 11% 14% 76
6 SINGULAR MODULI authKW 454243 2% 67% 16
7 EICHLER COHOMOLOGY authKW 425863 1% 100% 10
8 HARMONIC WEAK MAASS FORMS authKW 396377 2% 85% 11
9 MODULAR FUNCTIONS authKW 286879 2% 42% 16
10 ROOT MULTIPLICITIES authKW 260839 1% 88% 7

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 34387 93% 0% 667
2 Mathematics, Applied 1153 17% 0% 121
3 Physics, Mathematical 87 4% 0% 27
4 Physics, Particles & Fields 6 2% 0% 14
5 Physics, Nuclear -0 1% 0% 5
6 Multidisciplinary Sciences -0 0% 0% 1
7 Computer Science, Theory & Methods -2 0% 0% 2
8 Computer Science, Information Systems -3 0% 0% 1
9 Computer Science, Artificial Intelligence -3 0% 0% 1
10 Astronomy & Astrophysics -10 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 MATEMAT VETENSK ER MARTIN WESTERHOLT RAUM 42586 0% 100% 1
2 RAMANUJAN ADV STUDY 42586 0% 100% 1
3 CICMA 25230 1% 15% 4
4 INF 288 23950 0% 19% 3
5 RAMANUJAN ADV STUDY MATH 21965 1% 6% 8
6 FRE 2271 21292 0% 50% 1
7 NEURO SYST GRP 21292 0% 50% 1
8 QUANTITAT RISK ANALYT 21292 0% 50% 1
9 MATH 20193 62% 0% 445
10 MATH EDUC 17700 4% 1% 32

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 RAMANUJAN JOURNAL 107444 7% 5% 51
2 INTERNATIONAL JOURNAL OF NUMBER THEORY 63839 6% 4% 41
3 JOURNAL OF NUMBER THEORY 25418 7% 1% 53
4 COMMUNICATIONS IN NUMBER THEORY AND PHYSICS 9452 1% 4% 6
5 KYUSHU JOURNAL OF MATHEMATICS 7982 1% 3% 7
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6053 7% 0% 49
7 COMPOSITIO MATHEMATICA 5615 3% 1% 18
8 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 5355 1% 1% 9
9 MATHEMATISCHE ANNALEN 4769 3% 0% 23
10 INVENTIONES MATHEMATICAE 4382 3% 1% 18

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 WEAKLY HOLOMORPHIC MODULAR FORMS 908503 3% 89% 24 Search WEAKLY+HOLOMORPHIC+MODULAR+FORMS Search WEAKLY+HOLOMORPHIC+MODULAR+FORMS
2 GENERALIZED MODULAR FORMS 596208 2% 100% 14 Search GENERALIZED+MODULAR+FORMS Search GENERALIZED+MODULAR+FORMS
3 BORCHERDS PRODUCT 463711 2% 78% 14 Search BORCHERDS+PRODUCT Search BORCHERDS+PRODUCT
4 VECTOR VALUED MODULAR FORMS 463711 2% 78% 14 Search VECTOR+VALUED+MODULAR+FORMS Search VECTOR+VALUED+MODULAR+FORMS
5 MODULAR FORMS 458785 11% 14% 76 Search MODULAR+FORMS Search MODULAR+FORMS
6 SINGULAR MODULI 454243 2% 67% 16 Search SINGULAR+MODULI Search SINGULAR+MODULI
7 EICHLER COHOMOLOGY 425863 1% 100% 10 Search EICHLER+COHOMOLOGY Search EICHLER+COHOMOLOGY
8 HARMONIC WEAK MAASS FORMS 396377 2% 85% 11 Search HARMONIC+WEAK+MAASS+FORMS Search HARMONIC+WEAK+MAASS+FORMS
9 MODULAR FUNCTIONS 286879 2% 42% 16 Search MODULAR+FUNCTIONS Search MODULAR+FUNCTIONS
10 ROOT MULTIPLICITIES 260839 1% 88% 7 Search ROOT+MULTIPLICITIES Search ROOT+MULTIPLICITIES

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 STHANUMOORTHY, N , PRIYADHARSINI, K , (2014) ROOT SUPERMULTIPLICITIES AND CORRESPONDING COMBINATORIAL IDENTITIES FOR SOME BORCHERDS SUPERALGEBRAS.GLASNIK MATEMATICKI. VOL. 49. ISSUE 1. P. 53-81 24 92% 0
2 STHANUMOORTHY, N , LILLY, PL , (2007) ROOT MULTIPLICITIES OF SOME GENERALIZED KAC-MOODY ALGEBRAS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 38. ISSUE 2. P. 55 -78 23 96% 1
3 KANG, SJ , KIM, MH , (1999) DIMENSION FORMULA FOR GRADED LIE ALGEBRAS AND ITS APPLICATIONS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 351. ISSUE 11. P. 4281 -4336 27 93% 12
4 STHANUMOORTHY, N , LILLY, PL , BASHA, AN , (2009) ROOT SUPERMULTIPLICITIES OF SOME BORCHERDS SUPERALGEBRAS.COMMUNICATIONS IN ALGEBRA. VOL. 37. ISSUE 4. P. 1353-1388 19 95% 1
5 CHOI, S , KIM, CH , (2015) SOME REMARKS ON HURWITZ-KRONECKER CLASS NUMBERS AND TRACES OF SINGULAR MODULI.RAMANUJAN JOURNAL. VOL. 38. ISSUE 3. P. 579 -596 16 89% 0
6 GARTHWAITE, SA , JENKINS, P , (2013) ZEROS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF LEVELS 2 AND 3.MATHEMATICAL RESEARCH LETTERS. VOL. 20. ISSUE 4. P. 657-674 15 94% 2
7 JEON, D , KANG, SY , KIM, CH , (2016) ZAGIER-LIFT TYPE ARITHMETIC IN HARMONIC WEAK MAASS FORMS.JOURNAL OF NUMBER THEORY. VOL. 169. ISSUE . P. 227 -249 15 88% 0
8 BRUINIER, JH , KUDLA, SS , YANG, TH , (2012) SPECIAL VALUES OF GREEN FUNCTIONS AT BIG CM POINTS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 9. P. 1917-1967 15 88% 3
9 CHOI, D , LIM, S , (2015) STRUCTURES FOR PAIRS OF MOCK MODULAR FORMS WITH THE ZAGIER DUALITY.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 8. P. 5831 -5861 13 93% 0
10 DUKE, W , LI, Y , (2015) HARMONIC MAASS FORMS OF WEIGHT 1.DUKE MATHEMATICAL JOURNAL. VOL. 164. ISSUE 1. P. 39 -113 15 75% 3

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 9319 VERTEX ALGEBRA//VERTEX OPERATOR ALGEBRA//VERTEX OPERATOR ALGEBRAS
3 6714 OVERPARTITIONS//PARTITIONS//ROGERS RAMANUJAN IDENTITIES
4 19134 HECKE GROUPS//SUBORBITAL GRAPHS//EXTENDED HECKE GROUP
5 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
6 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
7 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
8 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES
9 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
10 15272 KAC MOODY GROUPS//TWIN BUILDINGS//COXETER GROUP

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