Class information for:
Level 1: DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23999 327 14.3 30%


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
23999 1                   DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM 327

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 DIAGONAL EQUATION authKW 756374 3% 90% 9
2 EQUATION IN A FINITE FIELD authKW 653658 2% 100% 7
3 GAUSS SUM authKW 374334 6% 19% 21
4 AUGMENTED DEGREE MATRIX authKW 280139 1% 100% 3
5 EQUATION OVER A FINITE FIELD authKW 280139 1% 100% 3
6 HODGE POLYGON authKW 212221 2% 45% 5
7 JACOBI SUM authKW 207973 2% 32% 7
8 ARITHMETIC POLYGON authKW 186759 1% 100% 2
9 DICKSONS SYSTEM authKW 186759 1% 100% 2
10 DWORK THEORY authKW 186759 1% 100% 2

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 16299 95% 0% 310
2 Mathematics, Applied 1469 27% 0% 89
3 Literature, Romance 4 0% 0% 1
4 Physics, Mathematical 3 2% 0% 5
5 Computer Science, Cybernetics 2 0% 0% 1
6 Computer Science, Theory & Methods 0 1% 0% 3
7 Statistics & Probability 0 1% 0% 2
8 Physics, Nuclear -0 1% 0% 2
9 Physics, Particles & Fields -1 1% 0% 2
10 Computer Science, Information Systems -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 EQUIPE LAMIA 93380 0% 100% 1
2 VAKGRP WISKUNDE RIJKS 93380 0% 100% 1
3 EQUIPE GEOMETRIE ALGEBR PLICAT THEORIE INFORM 31125 0% 33% 1
4 GAATI 7181 0% 8% 1
5 CHERN MATH 5236 2% 1% 5
6 UMR 8628 CNRS 5186 0% 6% 1
7 WU WEN TSUN MATH 4880 1% 2% 3
8 MATH 3747 40% 0% 131
9 FUNDAMENTAL SUBJECT 3010 0% 3% 1
10 AOC 2392 0% 3% 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 FINITE FIELDS AND THEIR APPLICATIONS 112080 11% 3% 35
2 JOURNAL OF NUMBER THEORY 21631 10% 1% 33
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 21312 5% 1% 16
4 ACTA ARITHMETICA 15343 7% 1% 23
5 COMMUNICATIONS IN NUMBER THEORY AND PHYSICS 5182 1% 2% 3
6 AMERICAN JOURNAL OF MATHEMATICS 3362 2% 0% 8
7 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 3121 3% 0% 11
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1990 6% 0% 19
9 ALGEBRA & NUMBER THEORY 1662 1% 1% 3
10 PACIFIC JOURNAL OF MATHEMATICS 1642 3% 0% 9

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 DIAGONAL EQUATION 756374 3% 90% 9 Search DIAGONAL+EQUATION Search DIAGONAL+EQUATION
2 EQUATION IN A FINITE FIELD 653658 2% 100% 7 Search EQUATION+IN+A+FINITE+FIELD Search EQUATION+IN+A+FINITE+FIELD
3 GAUSS SUM 374334 6% 19% 21 Search GAUSS+SUM Search GAUSS+SUM
4 AUGMENTED DEGREE MATRIX 280139 1% 100% 3 Search AUGMENTED+DEGREE+MATRIX Search AUGMENTED+DEGREE+MATRIX
5 EQUATION OVER A FINITE FIELD 280139 1% 100% 3 Search EQUATION+OVER+A+FINITE+FIELD Search EQUATION+OVER+A+FINITE+FIELD
6 HODGE POLYGON 212221 2% 45% 5 Search HODGE+POLYGON Search HODGE+POLYGON
7 JACOBI SUM 207973 2% 32% 7 Search JACOBI+SUM Search JACOBI+SUM
8 ARITHMETIC POLYGON 186759 1% 100% 2 Search ARITHMETIC+POLYGON Search ARITHMETIC+POLYGON
9 DICKSONS SYSTEM 186759 1% 100% 2 Search DICKSONS+SYSTEM Search DICKSONS+SYSTEM
10 DWORK THEORY 186759 1% 100% 2 Search DWORK+THEORY Search DWORK+THEORY

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 LIU, CL , WAN, DQ , (2009) T-ADIC EXPONENTIAL SUMS OVER FINITE FIELDS.ALGEBRA & NUMBER THEORY. VOL. 3. ISSUE 5. P. 489-509 17 94% 7
2 HAESSIG, CD , SPERBER, S , (2014) L-FUNCTIONS ASSOCIATED WITH FAMILIES OF TONE EXPONENTIAL SUMS.JOURNAL OF NUMBER THEORY. VOL. 144. ISSUE . P. 422 -473 15 94% 0
3 LIU, CL , NIU, CZ , (2014) GENERIC TWISTED T-ADIC EXPONENTIAL SUMS OF POLYNOMIALS.JOURNAL OF NUMBER THEORY. VOL. 140. ISSUE . P. 38-59 12 100% 0
4 HU, SN , HONG, SF , ZHAO, W , (2015) THE NUMBER OF RATIONAL POINTS OF A FAMILY OF HYPERSURFACES OVER FINITE FIELDS.JOURNAL OF NUMBER THEORY. VOL. 156. ISSUE . P. 135 -153 11 100% 0
5 HAESSIG, CD , ROJAS-LEON, A , (2011) L-FUNCTIONS OF SYMMETRIC POWERS OF THE GENERALIZED AIRY FAMILY OF EXPONENTIAL SUMS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 7. ISSUE 8. P. 2019-2064 15 75% 1
6 OUYANG, Y , YANG, JB , (2016) ON A CONJECTURE OF WAN ABOUT LIMITING NEWTON POLYGONS.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 41. ISSUE . P. 64 -71 11 85% 0
7 HONG, S , (2007) L-FUNCTIONS OF TWISTED DIAGONAL EXPONENTIAL SUMS OVER FINITE FIELDS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 135. ISSUE 10. P. 3099-3108 11 100% 1
8 LAUMON, G , (2000) EXPONENTIAL SUMS AND L-ADIC COHOMOLOGY: A SURVEY.ISRAEL JOURNAL OF MATHEMATICS. VOL. 120. ISSUE . P. 225 -257 24 56% 8
9 ADOLPHSON, A , SPERBER, S , (2009) EXPONENTIAL SUMS NONDEGENERATE RELATIVE TO A LATTICE.ALGEBRA & NUMBER THEORY. VOL. 3. ISSUE 8. P. 881-906 11 92% 3
10 CAO, W , (2012) A PARTIAL IMPROVEMENT OF THE AX-KATZ THEOREM.JOURNAL OF NUMBER THEORY. VOL. 132. ISSUE 4. P. 485-494 9 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 14579 SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS
2 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
3 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
4 10317 PERMUTATION POLYNOMIAL//BENT FUNCTION//APN FUNCTIONS
5 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA
6 9482 ALGEBRAIC GEOMETRY CODES//ALGEBRAIC GEOMETRIC CODES//GALOIS POINT
7 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
8 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
9 15612 CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER
10 24944 COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS

Go to start page