Class information for:
Level 1: SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14579 762 13.6 35%


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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
14579 1                   SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS 762

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 SUPERCONGRUENCES authKW 902932 3% 87% 26
2 GAUSSIAN HYPERGEOMETRIC SERIES authKW 523596 2% 93% 14
3 BINOMIAL COEFFICIENTS authKW 507205 6% 26% 48
4 CENTRAL BINOMIAL COEFFICIENTS authKW 488480 2% 76% 16
5 CONGRUENCE authKW 414560 14% 10% 104
6 P ADIC GAMMA FUNCTION authKW 346325 1% 79% 11
7 APERY NUMBERS authKW 303032 1% 69% 11
8 HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS authKW 280499 1% 100% 7
9 FRANEL NUMBERS authKW 240428 1% 100% 6
10 QUARTIC JACOBI SYMBOL authKW 240428 1% 100% 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 35206 91% 0% 696
2 Mathematics, Applied 1498 19% 0% 141
3 Statistics & Probability 5 1% 0% 9
4 Logic 1 0% 0% 1
5 Computer Science, Theory & Methods -0 1% 0% 4
6 Mathematics, Interdisciplinary Applications -1 0% 0% 2
7 Mathematical & Computational Biology -1 0% 0% 1
8 Computer Science, Software Engineering -1 0% 0% 2
9 Computer Science, Information Systems -2 0% 0% 2
10 Physics, Mathematical -2 0% 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 SHANGHAI PMMP 99394 2% 18% 14
2 DIPARTIMENTO MATEMAT 1 40071 0% 100% 1
3 INFORM SECUR 40071 0% 100% 1
4 RECH INFORMAT UMR 8623 40071 0% 100% 1
5 SIIRT VOCAT HIGH 20035 0% 50% 1
6 CEVIS 20031 0% 17% 3
7 MARITIME 10273 1% 2% 11
8 MATH CC 10016 0% 25% 1
9 WARRANE 10016 0% 25% 1
10 MATH 9255 41% 0% 314

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 FIBONACCI QUARTERLY 162122 9% 6% 68
2 JOURNAL OF NUMBER THEORY 137647 17% 3% 127
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 82340 6% 4% 48
4 ACTA ARITHMETICA 40446 7% 2% 57
5 RAMANUJAN JOURNAL 11210 2% 2% 17
6 AMERICAN MATHEMATICAL MONTHLY 8511 3% 1% 24
7 FINITE FIELDS AND THEIR APPLICATIONS 7672 2% 1% 14
8 ELECTRONIC JOURNAL OF COMBINATORICS 2698 2% 1% 13
9 DISCRETE MATHEMATICS 2645 4% 0% 28
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2405 4% 0% 32

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 SUPERCONGRUENCES 902932 3% 87% 26 Search SUPERCONGRUENCES Search SUPERCONGRUENCES
2 GAUSSIAN HYPERGEOMETRIC SERIES 523596 2% 93% 14 Search GAUSSIAN+HYPERGEOMETRIC+SERIES Search GAUSSIAN+HYPERGEOMETRIC+SERIES
3 BINOMIAL COEFFICIENTS 507205 6% 26% 48 Search BINOMIAL+COEFFICIENTS Search BINOMIAL+COEFFICIENTS
4 CENTRAL BINOMIAL COEFFICIENTS 488480 2% 76% 16 Search CENTRAL+BINOMIAL+COEFFICIENTS Search CENTRAL+BINOMIAL+COEFFICIENTS
5 CONGRUENCE 414560 14% 10% 104 Search CONGRUENCE Search CONGRUENCE
6 P ADIC GAMMA FUNCTION 346325 1% 79% 11 Search P+ADIC+GAMMA+FUNCTION Search P+ADIC+GAMMA+FUNCTION
7 APERY NUMBERS 303032 1% 69% 11 Search APERY+NUMBERS Search APERY+NUMBERS
8 HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS 280499 1% 100% 7 Search HYPERGEOMETRIC+FUNCTIONS+OVER+FINITE+FIELDS Search HYPERGEOMETRIC+FUNCTIONS+OVER+FINITE+FIELDS
9 FRANEL NUMBERS 240428 1% 100% 6 Search FRANEL+NUMBERS Search FRANEL+NUMBERS
10 QUARTIC JACOBI SYMBOL 240428 1% 100% 6 Search QUARTIC+JACOBI+SYMBOL Search QUARTIC+JACOBI+SYMBOL

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 SUN, ZH , (2016) SUPERCONGRUENCES INVOLVING EULER POLYNOMIALS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 144. ISSUE 8. P. 3295 -3308 19 100% 0
2 SUN, ZW , (2011) SUPER CONGRUENCES AND EULER NUMBERS.SCIENCE CHINA-MATHEMATICS. VOL. 54. ISSUE 12. P. 2509 -2535 21 91% 25
3 OSBURN, R , SAHU, B , STRAUB, A , (2016) SUPERCONGRUENCES FOR SPORADIC SEQUENCES.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 59. ISSUE 2. P. 503 -518 23 74% 1
4 FUSELIER, JG , MCCARTHY, D , (2016) HYPERGEOMETRIC TYPE IDENTITIES IN THE P-ADIC SETTING AND MODULAR FORMS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 144. ISSUE 4. P. 1493 -1508 17 100% 1
5 SUN, ZH , (2013) CONGRUENCES CONCERNING LEGENDRE POLYNOMIALS II.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 6. P. 1950-1976 16 100% 9
6 SUN, ZW , (2016) CONGRUENCES INVOLVING G(N)(X) = SIGMA(N)(K=0)((N)(K))(2) ((2K)K)X(K).RAMANUJAN JOURNAL. VOL. 40. ISSUE 3. P. 511 -533 15 94% 1
7 SUN, ZH , (2013) LEGENDRE POLYNOMIALS AND SUPERCONGRUENCES.ACTA ARITHMETICA. VOL. 159. ISSUE 2. P. 169-200 16 100% 1
8 PAN, H , (2014) ON DIVISIBILITY OF SUMS OF APERY POLYNOMIALS.JOURNAL OF NUMBER THEORY. VOL. 143. ISSUE . P. 214 -223 15 100% 4
9 BARMAN, R , SAIKIA, N , MCCARTHY, D , (2015) SUMMATION IDENTITIES AND SPECIAL VALUES OF HYPERGEOMETRIC SERIES IN THE P-ADIC SETTING.JOURNAL OF NUMBER THEORY. VOL. 153. ISSUE . P. 63 -84 15 100% 0
10 MCCARTHY, D , (2012) TRANSFORMATIONS OF WELL-POISED HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 18. ISSUE 6. P. 1133-1147 16 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23999 DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM
2 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
3 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
4 9879 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS
5 13453 THETA FUNCTIONS//MODULAR EQUATIONS//CONVOLUTION SUMS
6 23174 PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX
7 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
8 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
9 14479 MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE
10 9983 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR

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