Class information for:
Level 1: DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
14887 744 15.0 39%



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
14887 1                   DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES 744

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 DRINFELD MODULES authKW 1351192 7% 65% 51
2 DRINFELD MODULAR FORMS authKW 902897 3% 100% 22
3 DRINFELD MODULAR CURVES authKW 835017 3% 88% 23
4 CYCLOTOMIC FUNCTION FIELDS authKW 474888 2% 64% 18
5 T MOTIVES authKW 451449 1% 100% 11
6 JOURNAL OF NUMBER THEORY journal 408122 29% 5% 216
7 FIELDS OF POWER SERIES authKW 332428 1% 90% 9
8 CARLITZ MODULE authKW 227995 1% 56% 10
9 F Q LINEAR FUNCTION authKW 205204 1% 100% 5
10 MULTIZETA authKW 205204 1% 100% 5

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 39773 98% 0% 730
2 Mathematics, Applied 307 9% 0% 69
3 Computer Science, Information Systems -1 0% 0% 3
4 Statistics & Probability -1 0% 0% 2
5 Computer Science, Theory & Methods -2 0% 0% 2
6 Physics, Mathematical -2 0% 0% 2
7 Computer Science, Artificial Intelligence -3 0% 0% 1
8 Physics, Multidisciplinary -12 0% 0% 1
9 Materials Science, Multidisciplinary -29 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 FR MATH 6 1 75034 1% 23% 8
2 CNRS UMR 5580 MATH EMILE PICARD 41041 0% 100% 1
3 CONSUMER CREDIT SOLUT 41041 0% 100% 1
4 DEPART MATEMAT 41041 0% 100% 1
5 DIPARTIMENTO MATEMAT FEDERIGO ENRIGUES 41041 0% 100% 1
6 DNGDAEMUN GU 41041 0% 100% 1
7 L M N O 41041 0% 100% 1
8 M U S E 41041 0% 100% 1
9 TOPOL GEOMETRIE URA CNRS 1408 41041 0% 100% 1
10 UM 5580UFR MIG 41041 0% 100% 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 408122 29% 5% 216
2 FINITE FIELDS AND THEIR APPLICATIONS 16055 3% 2% 20
3 ACTA ARITHMETICA 13858 4% 1% 33
4 COMPOSITIO MATHEMATICA 8091 3% 1% 22
5 MATHEMATISCHE ANNALEN 6341 4% 1% 27
6 DUKE MATHEMATICAL JOURNAL 4528 2% 1% 18
7 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 4527 3% 1% 20
8 MANUSCRIPTA MATHEMATICA 3217 2% 0% 16
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 2993 3% 0% 25
10 INTERNATIONAL JOURNAL OF NUMBER THEORY 2950 1% 1% 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 DRINFELD MODULES 1351192 7% 65% 51 Search DRINFELD+MODULES Search DRINFELD+MODULES
2 DRINFELD MODULAR FORMS 902897 3% 100% 22 Search DRINFELD+MODULAR+FORMS Search DRINFELD+MODULAR+FORMS
3 DRINFELD MODULAR CURVES 835017 3% 88% 23 Search DRINFELD+MODULAR+CURVES Search DRINFELD+MODULAR+CURVES
4 CYCLOTOMIC FUNCTION FIELDS 474888 2% 64% 18 Search CYCLOTOMIC+FUNCTION+FIELDS Search CYCLOTOMIC+FUNCTION+FIELDS
5 T MOTIVES 451449 1% 100% 11 Search T+MOTIVES Search T+MOTIVES
6 FIELDS OF POWER SERIES 332428 1% 90% 9 Search FIELDS+OF+POWER+SERIES Search FIELDS+OF+POWER+SERIES
7 CARLITZ MODULE 227995 1% 56% 10 Search CARLITZ+MODULE Search CARLITZ+MODULE
8 F Q LINEAR FUNCTION 205204 1% 100% 5 Search F+Q+LINEAR+FUNCTION Search F+Q+LINEAR+FUNCTION
9 MULTIZETA 205204 1% 100% 5 Search MULTIZETA Search MULTIZETA
10 FUNCTION FIELDS 172895 4% 16% 27 Search FUNCTION+FIELDS Search FUNCTION+FIELDS

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 PELLARIN, F , (2008) ASPECTS OF ALGEBRAIC INDEPENDENCE IN NON-NULL CHARACTERISTICS.ASTERISQUE. VOL. . ISSUE 317. P. 205 -242 40 82% 4
2 THAKUR, DS , (2015) POWER SUMS OF POLYNOMIALS OVER FINITE FIELDS AND APPLICATIONS: A SURVEY.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 32. ISSUE . P. 171 -191 26 100% 0
3 ANGLES, B , DAC, TN , RIBEIRO, FT , (2016) TWISTED CHARACTERISTIC P ZETA FUNCTIONS.JOURNAL OF NUMBER THEORY. VOL. 168. ISSUE . P. 180 -214 24 100% 0
4 ANGLES, B , PELLARIN, F , RIBEIRO, FT , DEMESLAY, F , (2016) ARITHMETIC OF POSITIVE CHARACTERISTIC L-SERIES VALUES IN TATE ALGEBRAS.COMPOSITIO MATHEMATICA. VOL. 152. ISSUE 1. P. 1 -61 15 100% 2
5 THAKUR, DS , WEN, ZY , YAO, JY , ZHAO, L , (2011) TRANSCENDENCE IN POSITIVE CHARACTERISTIC AND SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 657. ISSUE . P. 135 -171 21 91% 0
6 YAO, JY , (2005) CARLITZ-GOSS GAMMA FUNCTION, WADE'S METHOD, AND TRANSCENDENCE.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 579. ISSUE . P. 175 -193 20 100% 1
7 ANGLES, B , RIBEIRO, FT , (2017) ARITHMETIC OF FUNCTION FIELD UNITS.MATHEMATISCHE ANNALEN. VOL. 367. ISSUE 1-2. P. 501 -579 17 85% 0
8 GOSS, D , (2005) APPLICATIONS OF NON-ARCHIMEDEAN INTEGRATION TO THE L-SERIES OF TAU-SHEAVES.JOURNAL OF NUMBER THEORY. VOL. 110. ISSUE 1. P. 83 -113 19 100% 8
9 PINK, R , (2012) THE ISOGENY CONJECTURE FOR A-MOTIVES.INVENTIONES MATHEMATICAE. VOL. 188. ISSUE 3. P. 659 -711 16 94% 0
10 HAMAHATA, Y , (2017) GENERALIZED DEDEKIND SUMS AND TRANSFORMATION FORMULAE IN FUNCTION FIELDS.JOURNAL OF NUMBER THEORY. VOL. 173. ISSUE . P. 272 -292 14 93% 0

Classes with closest relation at Level 1



Rank Class id link
1 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
2 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS
3 6344 TAME KERNEL//CLASS GROUP//IWASAWA INVARIANTS
4 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
5 14479 MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE
6 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
7 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
8 18796 SUM OF DIGITS FUNCTION//CANONICAL NUMBER SYSTEM//SUM OF DIGITS
9 15354 WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT
10 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY

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