Class information for:
Level 1: SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13837 809 15.2 40%


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
13837 1                   SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES 809

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 SUM PRODUCT ESTIMATES authKW 754863 2% 100% 20
2 FERMAT QUOTIENTS authKW 566793 4% 52% 29
3 DISTINCT DISTANCES authKW 305718 1% 90% 9
4 CHARACTER SUMS authKW 285118 4% 22% 34
5 SZEMEREDI TROTTER THEOREM authKW 231175 1% 88% 7
6 MULTIPLICATIVE SUBGROUPS authKW 226459 1% 100% 6
7 SUM PRODUCT PROBLEM authKW 226459 1% 100% 6
8 UNIV EDUC address 201259 3% 22% 24
9 EULER QUOTIENTS authKW 194106 1% 86% 6
10 PRODUCT SETS authKW 169835 1% 50% 9

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 34158 87% 0% 707
2 Mathematics, Applied 2539 23% 0% 186
3 Computer Science, Theory & Methods 1563 13% 0% 102
4 Statistics & Probability 38 2% 0% 18
5 Computer Science, Information Systems 6 1% 0% 11
6 Computer Science, Hardware & Architecture 2 1% 0% 5
7 Computer Science, Software Engineering 0 1% 0% 5
8 Women’s Studies 0 0% 0% 1
9 Multidisciplinary Sciences -0 0% 0% 2
10 Social Sciences, Interdisciplinary -1 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 UNIV EDUC 201259 3% 22% 24
2 PROV PL MATH 113229 0% 100% 3
3 ELTE TTK 72577 1% 38% 5
4 CSIC UC3M 37743 0% 100% 1
5 CSICUCMUC3M 37743 0% 100% 1
6 SZAMITOGEPTUD TANSZEK 37743 0% 100% 1
7 DELONE DISCRETE COMPUTAT GEOMETRY 37739 0% 33% 3
8 ANALIZIS TANSZEK 18871 0% 50% 1
9 DELAUNAY DISCRETE COMPUTAT GEOMETRY 18871 0% 50% 1
10 RENYI ALFRED MATEMAT KUTATOINT 18871 0% 50% 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 DISCRETE & COMPUTATIONAL GEOMETRY 65907 7% 3% 60
2 ACTA ARITHMETICA 16904 5% 1% 38
3 JOURNAL OF NUMBER THEORY 16218 6% 1% 45
4 SIAM JOURNAL ON DISCRETE MATHEMATICS 11497 3% 1% 25
5 COMBINATORICS PROBABILITY & COMPUTING 9303 2% 2% 15
6 COMBINATORICA 8094 2% 1% 17
7 JOURNAL OF COMBINATORIAL THEORY SERIES A 7158 3% 1% 25
8 MATHEMATICAL NOTES 5485 3% 1% 27
9 IZVESTIYA MATHEMATICS 5081 1% 1% 11
10 CONTRIBUTIONS TO DISCRETE MATHEMATICS 4464 0% 4% 3

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 SUM PRODUCT ESTIMATES 754863 2% 100% 20 Search SUM+PRODUCT+ESTIMATES Search SUM+PRODUCT+ESTIMATES
2 FERMAT QUOTIENTS 566793 4% 52% 29 Search FERMAT+QUOTIENTS Search FERMAT+QUOTIENTS
3 DISTINCT DISTANCES 305718 1% 90% 9 Search DISTINCT+DISTANCES Search DISTINCT+DISTANCES
4 CHARACTER SUMS 285118 4% 22% 34 Search CHARACTER+SUMS Search CHARACTER+SUMS
5 SZEMEREDI TROTTER THEOREM 231175 1% 88% 7 Search SZEMEREDI+TROTTER+THEOREM Search SZEMEREDI+TROTTER+THEOREM
6 MULTIPLICATIVE SUBGROUPS 226459 1% 100% 6 Search MULTIPLICATIVE+SUBGROUPS Search MULTIPLICATIVE+SUBGROUPS
7 SUM PRODUCT PROBLEM 226459 1% 100% 6 Search SUM+PRODUCT+PROBLEM Search SUM+PRODUCT+PROBLEM
8 EULER QUOTIENTS 194106 1% 86% 6 Search EULER+QUOTIENTS Search EULER+QUOTIENTS
9 PRODUCT SETS 169835 1% 50% 9 Search PRODUCT+SETS Search PRODUCT+SETS
10 ERDOS FALCONER DISTANCE PROBLEMS 157261 1% 83% 5 Search ERDOS+FALCONER+DISTANCE+PROBLEMS Search ERDOS+FALCONER+DISTANCE+PROBLEMS

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 GARAEV, MZ , (2010) SUMS AND PRODUCTS OF SETS AND ESTIMATES OF RATIONAL TRIGONOMETRIC SUMS IN FIELDS OF PRIME ORDER.RUSSIAN MATHEMATICAL SURVEYS. VOL. 65. ISSUE 4. P. 599 -658 40 80% 7
2 CHEN, ZX , WINTERHOF, A , (2015) POLYNOMIAL QUOTIENTS: INTERPOLATION, VALUE SETS AND WARING'S PROBLEM.ACTA ARITHMETICA. VOL. 170. ISSUE 2. P. 121 -134 27 96% 1
3 ROCHE-NEWTON, O , RUDNEV, M , SHKREDOV, ID , (2016) NEW SUM-PRODUCT TYPE ESTIMATES OVER FINITE FIELDS.ADVANCES IN MATHEMATICS. VOL. 293. ISSUE . P. 589 -605 24 100% 1
4 PHAM, T , TAIT, M , TIMMONS, C , VINH, LA , (2017) A SZEMEREDI-TROTTER TYPE THEOREM, SUM-PRODUCT ESTIMATES IN FINITE QUASIFIELDS, AND RELATED RESULTS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 147. ISSUE . P. 55 -74 19 100% 0
5 RAZ, OE , SHARIR, M , SHKREDOV, ID , (2017) ON THE NUMBER OF UNIT-AREA TRIANGLES SPANNED BY CONVEX GRIDS IN THE PLANE.COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS. VOL. 62. ISSUE . P. 25 -33 19 100% 0
6 VINH, LA , (2014) SOLVABILITY OF SYSTEMS OF GENERAL EQUATIONS OVER FINITE FIELDS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 63. ISSUE 1. P. 281 -302 20 100% 0
7 CHEN, ZX , DU, XN , MARZOUK, R , (2015) TRACE REPRESENTATION OF PSEUDORANDOM BINARY SEQUENCES DERIVED FROM EULER QUOTIENTS.APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. VOL. 26. ISSUE 6. P. 555 -570 22 88% 0
8 VINH, LA , (2013) ON FOUR-VARIABLE EXPANDERS IN FINITE FIELDS.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 27. ISSUE 4. P. 2038-2048 22 92% 0
9 CHEN, ZX , WINTERHOF, A , (2014) INTERPOLATION OF FERMAT QUOTIENTS.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 28. ISSUE 1. P. 1-7 18 100% 4
10 HAM, LQ , THANG, PV , VINH, LA , (2017) CONDITIONAL EXPANDING BOUNDS FOR TWO-VARIABLE FUNCTIONS OVER FINITE VALUATION RINGS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 60. ISSUE . P. 114 -123 18 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA
2 15841 LINEAR COMPLEXITY//K ERROR LINEAR COMPLEXITY//MULTISEQUENCES
3 9779 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
4 12467 CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE
5 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
6 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
7 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
8 30563 ERDOS SZEKERES THEOREM//EMPTY CONVEX POLYGONS//ERDOS SZEKERES PROBLEM
9 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
10 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS

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