Class information for:
Level 1: OVERPARTITIONS//PARTITIONS//ROGERS RAMANUJAN IDENTITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6714 1453 18.2 41%


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
6714 1                   OVERPARTITIONS//PARTITIONS//ROGERS RAMANUJAN IDENTITIES 1453

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 OVERPARTITIONS authKW 1303176 4% 98% 63
2 PARTITIONS authKW 1294658 12% 36% 170
3 ROGERS RAMANUJAN IDENTITIES authKW 1029644 4% 78% 63
4 MOCK THETA FUNCTIONS authKW 722593 3% 72% 48
5 PARTIAL THETA FUNCTION authKW 672439 2% 100% 32
6 RAMANUJAN JOURNAL journal 610313 12% 17% 173
7 CRANK authKW 512319 2% 76% 32
8 PARTITION CONGRUENCES authKW 505135 2% 96% 25
9 Q SERIES authKW 471823 5% 33% 69
10 INTEGER PARTITIONS authKW 450426 3% 44% 49

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 57296 85% 0% 1228
2 Mathematics, Applied 2814 18% 0% 267
3 Physics, Mathematical 268 4% 0% 65
4 Physics, Particles & Fields 92 4% 0% 52
5 Physics, Nuclear 17 2% 0% 27
6 Statistics & Probability 4 1% 0% 14
7 Film, Radio, Television 1 0% 0% 1
8 Multidisciplinary Sciences 0 0% 0% 5
9 Computer Science, Theory & Methods -0 1% 0% 9
10 History & Philosophy of Science -0 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 LPMC TJKLC 64890 2% 9% 34
2 PLICAT MATH PRINCIPLES 63041 0% 100% 3
3 COMBINATOR 54034 3% 6% 43
4 ADV STUDY MATH 40798 1% 15% 13
5 LIAFA 37238 2% 5% 36
6 BASIC SUBJECTS TEACHING 31518 0% 50% 3
7 SYMBOL COMPUTAT 28185 1% 10% 14
8 PROJET THEORIE NOMB 23637 0% 38% 3
9 MATH 21171 45% 0% 654
10 286 ADAMS HOUSE MAIL 21014 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 RAMANUJAN JOURNAL 610313 12% 17% 173
2 INTERNATIONAL JOURNAL OF NUMBER THEORY 114004 5% 7% 78
3 JOURNAL OF COMBINATORIAL THEORY SERIES A 54163 6% 3% 92
4 JOURNAL OF NUMBER THEORY 37767 6% 2% 92
5 ANNALS OF COMBINATORICS 37647 2% 6% 28
6 ELECTRONIC JOURNAL OF COMBINATORICS 14828 3% 2% 42
7 ADVANCES IN APPLIED MATHEMATICS 13121 2% 2% 30
8 DISCRETE MATHEMATICS 10557 5% 1% 77
9 ACTA ARITHMETICA 7500 2% 1% 34
10 ADVANCES IN MATHEMATICS 7496 3% 1% 41

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 OVERPARTITIONS 1303176 4% 98% 63 Search OVERPARTITIONS Search OVERPARTITIONS
2 PARTITIONS 1294658 12% 36% 170 Search PARTITIONS Search PARTITIONS
3 ROGERS RAMANUJAN IDENTITIES 1029644 4% 78% 63 Search ROGERS+RAMANUJAN+IDENTITIES Search ROGERS+RAMANUJAN+IDENTITIES
4 MOCK THETA FUNCTIONS 722593 3% 72% 48 Search MOCK+THETA+FUNCTIONS Search MOCK+THETA+FUNCTIONS
5 PARTIAL THETA FUNCTION 672439 2% 100% 32 Search PARTIAL+THETA+FUNCTION Search PARTIAL+THETA+FUNCTION
6 CRANK 512319 2% 76% 32 Search CRANK Search CRANK
7 PARTITION CONGRUENCES 505135 2% 96% 25 Search PARTITION+CONGRUENCES Search PARTITION+CONGRUENCES
8 Q SERIES 471823 5% 33% 69 Search Q+SERIES Search Q+SERIES
9 INTEGER PARTITIONS 450426 3% 44% 49 Search INTEGER+PARTITIONS Search INTEGER+PARTITIONS
10 PARTITION IDENTITIES 421227 1% 95% 21 Search PARTITION+IDENTITIES Search PARTITION+IDENTITIES

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 CHU, WC , ZHANG, WL , (2009) BILATERAL BAILEY LEMMA AND ROGERS-RAMANUJAN IDENTITIES.ADVANCES IN APPLIED MATHEMATICS. VOL. 42. ISSUE 3. P. 358 -391 53 85% 4
2 DOU, DQJ , (2016) CONGRUENCES FOR (3,11)-REGULAR BIPARTITIONS MODULO 11.RAMANUJAN JOURNAL. VOL. 40. ISSUE 3. P. 535 -540 30 97% 1
3 LIN, BLS , (2016) AN INFINITE FAMILY OF CONGRUENCES MODULO FOR -REGULAR BIPARTITIONS.RAMANUJAN JOURNAL. VOL. 39. ISSUE 1. P. 169 -178 22 96% 5
4 ANDREWS, G , CHAN, SH , KIM, B , OSBURN, R , (2016) THE FIRST POSITIVE RANK AND CRANK MOMENTS FOR OVERPARTITIONS.ANNALS OF COMBINATORICS. VOL. 20. ISSUE 2. P. 193 -207 27 96% 1
5 KANADE, S , LEPOWSKY, J , RUSSELL, MC , SILLS, AV , (2017) GHOST SERIES AND A MOTIVATED PROOF OF THE ANDREWS-BRESSOUD IDENTITIES.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 146. ISSUE . P. 33 -62 25 100% 0
6 CHAN, SH , MAO, RR , (2014) INEQUALITIES FOR RANKS OF PARTITIONS AND THE FIRST MOMENT OF RANKS AND CRANKS OF PARTITIONS.ADVANCES IN MATHEMATICS. VOL. 258. ISSUE . P. 414-437 27 96% 2
7 BARUAH, ND , BORUAH, B , (2017) PARTITION IDENTITIES ARISING FROM RAMANUJAN'S FORMULAS FOR MULTIPLIERS.RAMANUJAN JOURNAL. VOL. 42. ISSUE 1. P. 241 -265 23 100% 0
8 LOVEJOY, J , OSBURN, R , (2013) THE BAILEY CHAIN AND MOCK THETA FUNCTIONS.ADVANCES IN MATHEMATICS. VOL. 238. ISSUE . P. 442-458 25 96% 3
9 JENNINGS-SHAFFER, C , (2015) HIGHER ORDER SPT FUNCTIONS FOR OVERPARTITIONS, OVERPARTITIONS WITH SMALLEST PART EVEN, AND PARTITIONS WITH SMALLEST PART EVEN AND WITHOUT REPEATED ODD PARTS.JOURNAL OF NUMBER THEORY. VOL. 149. ISSUE . P. 285 -312 22 100% 2
10 GRIFFIN, MJ , ONO, K , WARNAAR, SO , (2016) A FRAMEWORK OF ROGERS-RAMANUJAN IDENTITIES AND THEIR ARITHMETIC PROPERTIES.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 8. P. 1475 -1527 29 71% 1

Classes with closest relation at Level 1


Rank Class id link
1 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
2 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES
3 15354 WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT
4 9319 VERTEX ALGEBRA//VERTEX OPERATOR ALGEBRA//VERTEX OPERATOR ALGEBRAS
5 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
6 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
7 7667 INTEGRABLE QUANTUM FIELD THEORY//INTEGRABLE FIELD THEORIES//AFFINE TODA FIELD THEORY
8 2226 CONFORMAL FIELD MODELS IN STRING THEORY//CONFORMAL FIELD THEORY//D BRANES
9 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
10 21141 RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS

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