Class information for:
Level 1: GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3191 2043 22.4 37%


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

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 GALOIS REPRESENTATIONS authKW 941444 6% 50% 125
2 SELMER GROUPS authKW 568733 3% 61% 62
3 IWASAWA THEORY authKW 463668 3% 48% 64
4 ELLIPTIC CURVES authKW 398713 9% 15% 181
5 P ADIC L FUNCTIONS authKW 388341 2% 55% 47
6 SHIMURA CURVES authKW 260837 1% 73% 24
7 MODULAR FORMS authKW 256800 5% 18% 96
8 MODULAR SYMBOLS authKW 227249 1% 72% 21
9 HILBERT MODULAR FORMS authKW 212994 1% 49% 29
10 BIRCH AND SWINNERTON DYER CONJECTURE authKW 192819 1% 65% 20

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 107498 97% 0% 1989
2 Mathematics, Applied 696 9% 0% 175
3 Computer Science, Theory & Methods 2 1% 0% 20
4 Logic 0 0% 0% 1
5 History & Philosophy of Science -0 0% 0% 2
6 Multidisciplinary Sciences -4 0% 0% 1
7 Agriculture, Multidisciplinary -7 0% 0% 1
8 Infectious Diseases -15 0% 0% 1
9 Physics, Particles & Fields -19 0% 0% 1
10 Mechanics -21 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 ALGEBRA GEOMETRIA 43474 1% 10% 30
2 MATEMAT LICADA EPSVG 4 29889 0% 100% 2
3 MATH TAS 29889 0% 100% 2
4 MATH 29134 45% 0% 910
5 MATH CARREE 22414 0% 50% 3
6 CHEM ENGIN TECHN 19925 0% 67% 2
7 UMR 7539 MATH 19925 0% 67% 2
8 DPMMS 16328 1% 6% 17
9 DIPARTIMENTO MATEMAT FEDERIGO ENRIQUES 15927 0% 13% 8
10 PURE MATH MATH STAT 15601 1% 4% 27

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 134914 10% 4% 206
2 COMPOSITIO MATHEMATICA 92353 6% 5% 123
3 INVENTIONES MATHEMATICAE 66404 6% 4% 118
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 44777 3% 5% 58
5 DUKE MATHEMATICAL JOURNAL 36889 4% 3% 85
6 ALGEBRA & NUMBER THEORY 34214 2% 7% 34
7 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 23863 4% 2% 76
8 MATHEMATICAL RESEARCH LETTERS 22730 3% 3% 52
9 JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 22422 1% 7% 22
10 EXPERIMENTAL MATHEMATICS 22354 2% 5% 33

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 GALOIS REPRESENTATIONS 941444 6% 50% 125 Search GALOIS+REPRESENTATIONS Search GALOIS+REPRESENTATIONS
2 SELMER GROUPS 568733 3% 61% 62 Search SELMER+GROUPS Search SELMER+GROUPS
3 IWASAWA THEORY 463668 3% 48% 64 Search IWASAWA+THEORY Search IWASAWA+THEORY
4 ELLIPTIC CURVES 398713 9% 15% 181 Search ELLIPTIC+CURVES Search ELLIPTIC+CURVES
5 P ADIC L FUNCTIONS 388341 2% 55% 47 Search P+ADIC+L+FUNCTIONS Search P+ADIC+L+FUNCTIONS
6 SHIMURA CURVES 260837 1% 73% 24 Search SHIMURA+CURVES Search SHIMURA+CURVES
7 MODULAR FORMS 256800 5% 18% 96 Search MODULAR+FORMS Search MODULAR+FORMS
8 MODULAR SYMBOLS 227249 1% 72% 21 Search MODULAR+SYMBOLS Search MODULAR+SYMBOLS
9 HILBERT MODULAR FORMS 212994 1% 49% 29 Search HILBERT+MODULAR+FORMS Search HILBERT+MODULAR+FORMS
10 BIRCH AND SWINNERTON DYER CONJECTURE 192819 1% 65% 20 Search BIRCH+AND+SWINNERTON+DYER+CONJECTURE Search BIRCH+AND+SWINNERTON+DYER+CONJECTURE

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 GUITART, X , MASDEU, M , SENGUN, MH , (2015) DARMON POINTS ON ELLIPTIC CURVES OVER NUMBER FIELDS OF ARBITRARY SIGNATURE.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 111. ISSUE . P. 484 -518 34 92% 0
2 BUZZARD, K , DIAMOND, F , JARVIS, F , (2010) ON SERRE'S CONJECTURE FOR MOD L GALOIS REPRESENTATIONS OVER TOTALLY REAL FIELDS.DUKE MATHEMATICAL JOURNAL. VOL. 155. ISSUE 1. P. 105-161 37 84% 31
3 STEIN, W , WUTHRICH, C , (2013) ALGORITHMS FOR THE ARITHMETIC OF ELLIPTIC CURVES USING IWASAWA THEORY.MATHEMATICS OF COMPUTATION. VOL. 82. ISSUE 283. P. 1757 -1792 36 86% 1
4 GUITART, X , MASDEU, M , (2015) A P-ADIC CONSTRUCTION OF ATR POINTS ON Q-CURVES.PUBLICACIONS MATEMATIQUES. VOL. 59. ISSUE 2. P. 511 -545 29 100% 0
5 FOUQUET, O , (2013) DIHEDRAL IWASAWA THEORY OF NEARLY ORDINARY QUATERNIONIC AUTOMORPHIC FORMS.COMPOSITIO MATHEMATICA. VOL. 149. ISSUE 3. P. 356-416 30 94% 2
6 KOBAYASHI, S , (2013) THE P-ADIC GROSS-ZAGIER FORMULA FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES.INVENTIONES MATHEMATICAE. VOL. 191. ISSUE 3. P. 527-629 32 84% 5
7 GREENBERG, R , (2011) IWASAWA THEORY, PROJECTIVE MODULES, AND MODULAR REPRESENTATIONS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 211. ISSUE 992. P. 1 -+ 31 91% 2
8 SKINNER, C , URBAN, E , (2014) THE IWASAWA MAIN CONJECTURES FOR GL(2).INVENTIONES MATHEMATICAE. VOL. 195. ISSUE 1. P. 1-277 29 74% 22
9 BURUNGALE, AA , (2017) ON THE NON-TRIVIALITY OF THE P-ADIC ABEL-JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO P, II: SHIMURA CURVES.JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. VOL. 16. ISSUE 1. P. 189 -222 26 93% 0
10 LIM, MF , (2015) A REMARK ON THE M-H(G)-CONJECTURE AND AKASHI SERIES.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 11. ISSUE 1. P. 269 -297 26 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 11070 ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS
2 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
3 7742 SIEGEL MODULAR FORMS//JACOBI FORMS//ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
4 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
5 1219 DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS
6 15354 WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT
7 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
8 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
9 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
10 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES

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