Class information for:
Level 1: VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25105 291 12.4 36%


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
25105 1                   VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM 291

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 VALUED FIELDS authKW 2128069 12% 60% 34
2 NON ARCHIMEDEAN VALUED FIELDS authKW 1180479 5% 75% 15
3 MONTES ALGORITHM authKW 839457 3% 100% 8
4 NONARCHIMEDEAN ABSOLUTE VALUE authKW 524661 2% 100% 5
5 CIENCIES SOCIALS address 514163 2% 70% 7
6 NEWTON POLYGON authKW 444379 8% 18% 24
7 FIELD THEORY AND POLYNOMIALS authKW 437215 2% 83% 5
8 IRREDUCIBLE POLYNOMIALS authKW 426955 8% 18% 23
9 VALUATIONS AND THEIR GENERALIZATIONS authKW 419728 1% 100% 4
10 HENSELIAN FIELDS authKW 367255 2% 50% 7

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 15168 97% 0% 282
2 Mathematics, Applied 803 22% 0% 63
3 Logic 169 2% 0% 5
4 Computer Science, Theory & Methods 7 2% 0% 6
5 Multidisciplinary Sciences 0 0% 0% 1
6 Mechanics -2 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 CIENCIES SOCIALS 514163 2% 70% 7
2 MATH PHYS TERR MEASUREMENTS 209864 1% 100% 2
3 ABT STOCH 104932 0% 100% 1
4 SIMION STOILOV MATH 104932 0% 100% 1
5 STAR MATH UNIT 104932 0% 100% 1
6 THEORET PHYS MATHMAT 104932 0% 100% 1
7 SIMION STOILOW MATH 82523 5% 5% 15
8 UNIT 5 74540 3% 8% 9
9 CIENCIES ECON EMP ARIALS 58287 2% 11% 5
10 MATEMAT ECON FINANCERA ACTUARIAL 44454 2% 8% 5

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 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 38926 4% 3% 11
2 JOURNAL OF NUMBER THEORY 15083 9% 1% 26
3 MATHEMATIKA 9797 3% 1% 9
4 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 8791 3% 1% 10
5 ALGEBRA AND LOGIC 8087 2% 2% 5
6 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 7874 1% 2% 4
7 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 7834 3% 1% 10
8 ACTA ARITHMETICA 6379 5% 0% 14
9 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 5494 3% 1% 9
10 COMMUNICATIONS IN ALGEBRA 3500 6% 0% 18

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 VALUED FIELDS 2128069 12% 60% 34 Search VALUED+FIELDS Search VALUED+FIELDS
2 NON ARCHIMEDEAN VALUED FIELDS 1180479 5% 75% 15 Search NON+ARCHIMEDEAN+VALUED+FIELDS Search NON+ARCHIMEDEAN+VALUED+FIELDS
3 MONTES ALGORITHM 839457 3% 100% 8 Search MONTES+ALGORITHM Search MONTES+ALGORITHM
4 NONARCHIMEDEAN ABSOLUTE VALUE 524661 2% 100% 5 Search NONARCHIMEDEAN+ABSOLUTE+VALUE Search NONARCHIMEDEAN+ABSOLUTE+VALUE
5 NEWTON POLYGON 444379 8% 18% 24 Search NEWTON+POLYGON Search NEWTON+POLYGON
6 FIELD THEORY AND POLYNOMIALS 437215 2% 83% 5 Search FIELD+THEORY+AND+POLYNOMIALS Search FIELD+THEORY+AND+POLYNOMIALS
7 IRREDUCIBLE POLYNOMIALS 426955 8% 18% 23 Search IRREDUCIBLE+POLYNOMIALS Search IRREDUCIBLE+POLYNOMIALS
8 VALUATIONS AND THEIR GENERALIZATIONS 419728 1% 100% 4 Search VALUATIONS+AND+THEIR+GENERALIZATIONS Search VALUATIONS+AND+THEIR+GENERALIZATIONS
9 HENSELIAN FIELDS 367255 2% 50% 7 Search HENSELIAN+FIELDS Search HENSELIAN+FIELDS
10 EXTENSIONS OF VALUATIONS 314796 1% 100% 3 Search EXTENSIONS+OF+VALUATIONS Search EXTENSIONS+OF+VALUATIONS

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 ZAHARESCU, A , (2013) RESIDUAL TRANSCENDENTAL EXTENSIONS OF VALUATIONS, IRREDUCIBLE POLYNOMIALS, AND TRACE SERIES OVER P-ADIC FIELDS.BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE. VOL. 56. ISSUE 1. P. 125-131 27 100% 2
2 ALEXANDRU, V , VAJAITU, M , ZAHARESCU, A , (2016) CONTINUOUS AUTOMORPHISMS OF TRANSCENDENTAL CLOSED SUBFIELDS OF.MONATSHEFTE FUR MATHEMATIK. VOL. 181. ISSUE 3. P. 527 -535 18 95% 0
3 ALEXANDRU, V , VAJAITU, M , ZAHARESCU, A , (2016) ON P-ADIC ANALYTIC CONTINUATION WITH APPLICATIONS TO GENERATING ELEMENTS.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 59. ISSUE 1. P. 1 -10 15 100% 1
4 STEFANESCU, D , (2014) ON THE FACTORIZATION OF POLYNOMIALS OVER DISCRETE VALUATION DOMAINS.ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA. VOL. 22. ISSUE 1. P. 273-280 16 100% 0
5 BONCIOCAT, NC , BUGEAUD, Y , CIPU, M , MIGNOTTE, M , (2015) IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME MULTIVARIATE POLYNOMIALS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 87. ISSUE 3-4. P. 255 -267 15 100% 0
6 KUHLMANN, FV , (2004) VALUE GROUPS, RESIDUE FIELDS, AND BAD PLACES OF RATIONAL FUNCTION FIELDS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 356. ISSUE 11. P. 4559-4600 22 85% 16
7 JHORAR, B , KHANDUJA, SK , (2016) REFORMULATION OF HENSEL'S LEMMA AND EXTENSION OF A THEOREM OF ORE.MANUSCRIPTA MATHEMATICA. VOL. 151. ISSUE 1-2. P. 223 -241 14 100% 0
8 BONCIOCAT, NC , (2015) SCHONEMANN-EISENSTEIN-DUMAS-TYPE IRREDUCIBILITY CONDITIONS THAT USE ARBITRARILY MANY PRIME NUMBERS.COMMUNICATIONS IN ALGEBRA. VOL. 43. ISSUE 8. P. 3102 -3122 15 94% 0
9 LAISHRAM, S , NAIR, SG , SHOREY, TN , (2016) IRREDUCIBILITY OF GENERALIZED LAGUERRE POLYNOMIALS L-N((1/2+U)) (X) WITH INTEGER U.JOURNAL OF NUMBER THEORY. VOL. 160. ISSUE . P. 76 -107 14 88% 0
10 AGHIGH, K , NIKSERESHT, A , (2015) CONSTRUCTING COMPLETE DISTINGUISHED CHAINS WITH GIVEN INVARIANTS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 14. ISSUE 3. P. - 12 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 37534 METHOD OF ORIENTING CURVES//DENSE WINDING//COINCIDENCE AND NON COINCIDENCE SET
2 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
3 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
4 12778 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
5 5025 EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS
6 33278 Q VALUED FUNCTIONS//FINITE SUBSET SPACE//MULTIPLE VALUED FUNCTIONS
7 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
8 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
9 15644 POLYNOMIAL FACTORIZATION//POLYNOMIAL IDENTITY TESTING//COMBINATORICS ON POLYNOMIALS
10 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA

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