Class information for:
Level 1: POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
33449 124 14.3 29%


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
1206 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS 9179
33449 1                   POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP 124

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 POLYADIC GROUPS authKW 1026059 4% 83% 5
2 WARINGS PROBLEM authKW 496596 9% 18% 11
3 N M SEMIGROUP authKW 492509 2% 100% 2
4 POSTS COVER authKW 492509 2% 100% 2
5 RETRACT OF N ARY GROUPS authKW 492509 2% 100% 2
6 CHOWLAS CONJECTURE authKW 328338 2% 67% 2
7 PROBABILITES UMR 6632 address 328338 2% 67% 2
8 N ARY GROUP authKW 316610 2% 43% 3
9 1 N M1 NEUTRAL OPERATION authKW 246255 1% 100% 1
10 11 04 authKW 246255 1% 100% 1

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 6015 94% 0% 116
2 Mathematics, Applied 269 19% 0% 24
3 Logic 63 2% 0% 2
4 Multidisciplinary Sciences 39 3% 0% 4
5 Computer Science, Software Engineering 0 1% 0% 1
6 Engineering, General 0 1% 0% 1
7 Physics, Multidisciplinary -1 1% 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 PROBABILITES UMR 6632 328338 2% 67% 2
2 RAYMOND BEVERLY SACKLER MATH SCI 66908 4% 5% 5
3 LATP UMR CNRS 6632 49249 1% 20% 1
4 POHANG MATH 14272 2% 3% 2
5 THEORET INFORMAT MATH 6654 1% 3% 1
6 EXCELLENCE BASIC SCI 5128 1% 2% 1
7 PURE MATH 3112 5% 0% 6
8 RAMANUJAN ADV STUDY MATH 1984 1% 1% 1
9 LATP 1883 2% 0% 2
10 EXPT MATH 1389 1% 1% 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 16987 15% 0% 18
2 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 6667 7% 0% 9
3 PORTUGALIAE MATHEMATICA 6039 2% 1% 2
4 FINITE FIELDS AND THEIR APPLICATIONS 6026 4% 0% 5
5 MATEMATISK-FYSISKE MEDDELELSER KONGELIGE DANSKE VIDENSKABERNES SELSKAB 6004 1% 2% 1
6 ACTA ARITHMETICA 4894 6% 0% 8
7 AMERICAN MATHEMATICAL MONTHLY 3275 5% 0% 6
8 SEMIGROUP FORUM 1698 3% 0% 4
9 SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES 1552 2% 0% 2
10 COMMUNICATIONS IN ALGEBRA 910 5% 0% 6

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 POLYADIC GROUPS 1026059 4% 83% 5 Search POLYADIC+GROUPS Search POLYADIC+GROUPS
2 WARINGS PROBLEM 496596 9% 18% 11 Search WARINGS+PROBLEM Search WARINGS+PROBLEM
3 N M SEMIGROUP 492509 2% 100% 2 Search N+M+SEMIGROUP Search N+M+SEMIGROUP
4 POSTS COVER 492509 2% 100% 2 Search POSTS+COVER Search POSTS+COVER
5 RETRACT OF N ARY GROUPS 492509 2% 100% 2 Search RETRACT+OF+N+ARY+GROUPS Search RETRACT+OF+N+ARY+GROUPS
6 CHOWLAS CONJECTURE 328338 2% 67% 2 Search CHOWLAS+CONJECTURE Search CHOWLAS+CONJECTURE
7 N ARY GROUP 316610 2% 43% 3 Search N+ARY+GROUP Search N+ARY+GROUP
8 1 N M1 NEUTRAL OPERATION 246255 1% 100% 1 Search 1+N+M1+NEUTRAL+OPERATION Search 1+N+M1+NEUTRAL+OPERATION
9 11 04 246255 1% 100% 1 Search 11+04 Search 11+04
10 11G40 246255 1% 100% 1 Search 11G40 Search 11G40

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 GALLARDO, L , RAHAVANDRAINY, O , VASERSTEIN, L , (2007) REPRESENTATIONS OF POLYNOMIALS OVER FINITE FIELDS OF CHARACTERISTIC TWO AS A(2)+A+BC+D-3.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 13. ISSUE 3. P. 648-658 9 100% 2
2 BANK, E , BARY-SOROKER, L , (2015) PRIME POLYNOMIAL VALUES OF LINEAR FUNCTIONS IN SHORT INTERVALS.JOURNAL OF NUMBER THEORY. VOL. 151. ISSUE . P. 263 -275 7 100% 2
3 DIMOVSKI, D , STOJMENOVSKA, I , (2013) REDUCTIONS FOR VECTOR (N,M)-PRESENTATIONS OF (N,M)-SEMIGROUPS.SEMIGROUP FORUM. VOL. 86. ISSUE 3. P. 663-679 6 100% 0
4 SHPARLINSKI, IE , WEINGARTNER, AJ , (2017) AN EXPLICIT POLYNOMIAL ANALOGUE OF ROMANOFF'S THEOREM.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 44. ISSUE . P. 22 -33 9 60% 0
5 CAR, M , (2011) SUMS OF SEVENTH POWERS IN THE POLYNOMIAL RING F-2M[T].PORTUGALIAE MATHEMATICA. VOL. 68. ISSUE 3. P. 297-316 6 100% 0
6 GALLARDO, LH , VASERSTEIN, LN , (2010) SUMS AND STRICT SUMS OF BIQUADRATES IN F-Q[T], Q IS AN ELEMENT OF {3,9}.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 40. ISSUE 6. P. 1863 -1874 6 100% 0
7 ENTIN, A , (2016) ON THE BATEMAN-HORN CONJECTURE FOR POLYNOMIALS OVER LARGE FINITE FIELDS.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 12. P. 2525 -2544 6 86% 0
8 DUBICKAS, A , (2013) LINEAR FORMS IN MONIC INTEGER POLYNOMIALS.CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. VOL. 56. ISSUE 3. P. 510-519 6 86% 0
9 ZHU, YW , (2012) ON (N, M)-SEMIGROUPS.SEMIGROUP FORUM. VOL. 84. ISSUE 2. P. 342-364 5 100% 0
10 POLLACK, P , (2011) ON POLYNOMIAL RINGS WITH A GOLDBACH PROPERTY.AMERICAN MATHEMATICAL MONTHLY. VOL. 118. ISSUE 1. P. 71-77 5 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 23999 DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM
2 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES
3 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
4 30095 3X1 PROBLEM//COLLATZ PROBLEM//3X1 CONJECTURE
5 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
6 35085 INTEGER VALUED ENTIRE FUNCTION//RECURRENT STEP EQUATIONS//ABEL ARITHMETIC FUNCTIONS
7 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
8 18796 SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS
9 21141 RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS
10 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS

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