Class information for:
Level 2: JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
376 17147 17.4 34%


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
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
3191 1                   GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY 2043
4357 1                   ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA 1799
4818 1                   PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY 1720
5025 1                   EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS 1686
5075 1                   ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION 1678
6344 1                   TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS 1497
11070 1                   ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS 1010
12778 1                   NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS 881
14887 1                   DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES 744
15612 1                   CLASS NUMBER//CM FIELD//RELATIVE CLASS NUMBER 702
17132 1                   PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD 616
18628 1                   ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS 543
19760 1                   GALOIS MODULE STRUCTURE//NORMAL INTEGRAL BASIS//REALIZABLE CLASSES 490
22206 1                   THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS 390
23111 1                   ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE 358
25105 1                   VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM 291
25185 1                   HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM 288
29968 1                   SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD 177
33461 1                   GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS 124
34546 1                   POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS 110

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 JOURNAL OF NUMBER THEORY journal 907383 9% 33% 1548
2 MATHEMATICS WoSSC 857055 95% 3% 16278
3 ACTA ARITHMETICA journal 505118 6% 30% 956
4 ELLIPTIC CURVES authKW 415900 3% 44% 536
5 GALOIS REPRESENTATIONS authKW 334593 1% 87% 216
6 CLASS NUMBER authKW 228797 1% 72% 179
7 DIOPHANTINE EQUATIONS authKW 223397 1% 52% 241
8 COMPOSITIO MATHEMATICA journal 215517 3% 22% 545
9 IWASAWA THEORY authKW 213933 1% 95% 126
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK journal 182504 4% 17% 609

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 857055 95% 3% 16278
2 Mathematics, Applied 12585 12% 0% 2037
3 Logic 1045 1% 1% 101
4 Computer Science, Theory & Methods 152 2% 0% 263
5 Multidisciplinary Sciences 17 0% 0% 76
6 COMPUTER APPLICATIONS & CYBERNETICS 0 0% 0% 2
7 Psychology, Mathematical -7 0% 0% 1
8 History & Philosophy of Science -15 0% 0% 3
9 Statistics & Probability -18 0% 0% 57
10 Mycology -26 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 MATH 173390 38% 2% 6467
2 NUMBER THEORY GRP 71717 0% 73% 55
3 THEORET INFORMAT MATH 32484 0% 70% 26
4 A2X 31765 0% 44% 41
5 ALGEBRA GEOMETRIA 25737 0% 22% 67
6 MATH JUSSIEU 25334 1% 11% 126
7 CICMA 23772 0% 70% 19
8 UMR 5465 16665 0% 63% 15
9 MATH NICOLAS O ME 16081 0% 20% 45
10 MTA DE GRP EQUAT FUNCT CURVES 15814 0% 68% 13

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 907383 9% 33% 1548
2 ACTA ARITHMETICA 505118 6% 30% 956
3 COMPOSITIO MATHEMATICA 215517 3% 22% 545
4 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 182504 4% 17% 609
5 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 115941 2% 17% 384
6 INTERNATIONAL JOURNAL OF NUMBER THEORY 111972 2% 24% 266
7 ALGEBRA & NUMBER THEORY 97034 1% 33% 166
8 INVENTIONES MATHEMATICAE 91806 2% 13% 403
9 JOURNAL OF ALGEBRA 85635 5% 6% 796
10 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 80100 1% 46% 98

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 ELLIPTIC CURVES 415900 3% 44% 536 Search ELLIPTIC+CURVES Search ELLIPTIC+CURVES
2 GALOIS REPRESENTATIONS 334593 1% 87% 216 Search GALOIS+REPRESENTATIONS Search GALOIS+REPRESENTATIONS
3 CLASS NUMBER 228797 1% 72% 179 Search CLASS+NUMBER Search CLASS+NUMBER
4 DIOPHANTINE EQUATIONS 223397 1% 52% 241 Search DIOPHANTINE+EQUATIONS Search DIOPHANTINE+EQUATIONS
5 IWASAWA THEORY 213933 1% 95% 126 Search IWASAWA+THEORY Search IWASAWA+THEORY
6 EXPONENTIAL DIOPHANTINE EQUATION 169141 1% 97% 98 Search EXPONENTIAL+DIOPHANTINE+EQUATION Search EXPONENTIAL+DIOPHANTINE+EQUATION
7 SELMER GROUPS 149053 1% 91% 92 Search SELMER+GROUPS Search SELMER+GROUPS
8 ABELIAN VARIETIES 141285 1% 53% 150 Search ABELIAN+VARIETIES Search ABELIAN+VARIETIES
9 CLASS GROUP 134350 1% 66% 115 Search CLASS+GROUP Search CLASS+GROUP
10 GALOIS COHOMOLOGY 119713 1% 74% 91 Search GALOIS+COHOMOLOGY Search GALOIS+COHOMOLOGY

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 AUEL, A , BRUSSEL, E , GARIBALDI, S , VISHNE, U , (2011) OPEN PROBLEMS ON CENTRAL SIMPLE ALGEBRAS.TRANSFORMATION GROUPS. VOL. 16. ISSUE 1. P. 219 -264 104 90% 8
2 SHOREY, TN , (2006) DIOPHANTINE APPROXIMATIONS, DIOPHANTINE EQUATIONS, TRANSCENDENCE AND APPLICATIONS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 37. ISSUE 1. P. 9 -39 77 94% 3
3 HARPAZ, Y , WITTENBERG, O , (2016) ON THE FIBRATION METHOD FOR ZERO-CYCLES AND RATIONAL POINTS.ANNALS OF MATHEMATICS. VOL. 183. ISSUE 1. P. 229 -295 49 92% 3
4 MERKURJEV, AS , (2013) ESSENTIAL DIMENSION: A SURVEY.TRANSFORMATION GROUPS. VOL. 18. ISSUE 2. P. 415-481 54 98% 13
5 COLMEZ, P , (2004) THE P-ADIC BIRCH AND SWINNERTON-DYER CONJECTURE.ASTERISQUE. VOL. . ISSUE 294. P. 251 -319 69 96% 17
6 BENNETT, MA , CHEN, I , DAHMEN, SR , YAZDANI, S , (2015) GENERALIZED FERMAT EQUATIONS: A MISCELLANY.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 11. ISSUE 1. P. 1 -28 49 100% 1
7 GARIBALDI, S , PETROV, V , SEMENOV, N , (2016) SHELLS OF TWISTED FLAG VARIETIES AND THE ROST INVARIANT.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 2. P. 285 -339 45 85% 2
8 KEDLAYA, KS , LIU, RC , (2015) RELATIVE P-ADIC HODGE THEORY: FOUNDATIONS.ASTERISQUE. VOL. . ISSUE 371. P. 9 -+ 47 96% 0
9 BERCZES, A , PINK, I , (2014) ON GENERALIZED LEBESGUE-RAMANUJAN-NAGELL EQUATIONS.ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA. VOL. 22. ISSUE 1. P. 51 -71 46 94% 0
10 SIKSEK, S , (2013) EXPLICIT CHABAUTY OVER NUMBER FIELDS.ALGEBRA & NUMBER THEORY. VOL. 7. ISSUE 4. P. 765-793 44 98% 2

Classes with closest relation at Level 2


Rank Class id link
1 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
2 1206 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS
3 1909 MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS
4 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
5 953 MATHEMATICS//HOMOLOGY HOMOTOPY AND APPLICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
6 507 MATHEMATICS//JOURNAL OF ALGEBRAIC GEOMETRY//MODULI SPACE
7 1707 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
8 3125 JOURNAL OF SYMBOLIC LOGIC//LOGIC//ABSTRACT ELEMENTARY CLASSES
9 2945 MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY
10 1540 MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES

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