Class information for:
Level 1: INTEGER VALUED ENTIRE FUNCTION//RECURRENT STEP EQUATIONS//ABEL ARITHMETIC FUNCTIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
35085 102 12.4 20%



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
3266 2             MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS 1935
35085 1                   INTEGER VALUED ENTIRE FUNCTION//RECURRENT STEP EQUATIONS//ABEL ARITHMETIC FUNCTIONS 102

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 INTEGER VALUED ENTIRE FUNCTION authKW 898107 3% 100% 3
2 RECURRENT STEP EQUATIONS authKW 598738 2% 100% 2
3 ABEL ARITHMETIC FUNCTIONS authKW 299369 1% 100% 1
4 APPROXIMATION AND INTERPOLATION ERRORS authKW 299369 1% 100% 1
5 AXI CONVEX REGION authKW 299369 1% 100% 1
6 AXISYMMETRIC HARMONIC POLYNOMIALS authKW 299369 1% 100% 1
7 BERGMAN OPERATOR AND HYPERSPHERE authKW 299369 1% 100% 1
8 CAUCHY FUNCTIONS authKW 299369 1% 100% 1
9 CNRSUMR 8521 address 299369 1% 100% 1
10 CORPS DE NOMBRES authKW 299369 1% 100% 1

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 5444 98% 0% 100
2 Mathematics, Applied 60 11% 0% 11
3 Multidisciplinary Sciences 2 1% 0% 1
4 Mechanics -0 1% 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 CNRSUMR 8521 299369 1% 100% 1
2 UP A 5465 149683 1% 50% 1
3 MATH POLE SCI TECHNOL 133050 2% 22% 2
4 GAATI 92110 2% 15% 2
5 URA 001 74841 1% 25% 1
6 AGAT 16630 1% 6% 1
7 ISTIA 10321 1% 3% 1
8 A2X 3183 1% 1% 1
9 UMR CNRS 8524 3084 1% 1% 1
10 PAUL PAINLEVE 1885 2% 0% 2

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 ACTA ARITHMETICA 9306 10% 0% 10
2 ANNALES DE L INSTITUT FOURIER 8826 8% 0% 8
3 JOURNAL OF APPROXIMATION THEORY 8764 10% 0% 10
4 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 3531 10% 0% 10
5 BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE 3213 3% 0% 3
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1417 10% 0% 10
7 POTENTIAL ANALYSIS 1192 2% 0% 2
8 MONATSHEFTE FUR MATHEMATIK 1187 3% 0% 3
9 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 1100 2% 0% 2
10 INTERNATIONAL JOURNAL OF NUMBER THEORY 1065 2% 0% 2

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 INTEGER VALUED ENTIRE FUNCTION 898107 3% 100% 3 Search INTEGER+VALUED+ENTIRE+FUNCTION Search INTEGER+VALUED+ENTIRE+FUNCTION
2 RECURRENT STEP EQUATIONS 598738 2% 100% 2 Search RECURRENT+STEP+EQUATIONS Search RECURRENT+STEP+EQUATIONS
3 ABEL ARITHMETIC FUNCTIONS 299369 1% 100% 1 Search ABEL+ARITHMETIC+FUNCTIONS Search ABEL+ARITHMETIC+FUNCTIONS
4 APPROXIMATION AND INTERPOLATION ERRORS 299369 1% 100% 1 Search APPROXIMATION+AND+INTERPOLATION+ERRORS Search APPROXIMATION+AND+INTERPOLATION+ERRORS
5 AXI CONVEX REGION 299369 1% 100% 1 Search AXI+CONVEX+REGION Search AXI+CONVEX+REGION
6 AXISYMMETRIC HARMONIC POLYNOMIALS 299369 1% 100% 1 Search AXISYMMETRIC+HARMONIC+POLYNOMIALS Search AXISYMMETRIC+HARMONIC+POLYNOMIALS
7 BERGMAN OPERATOR AND HYPERSPHERE 299369 1% 100% 1 Search BERGMAN+OPERATOR+AND+HYPERSPHERE Search BERGMAN+OPERATOR+AND+HYPERSPHERE
8 CAUCHY FUNCTIONS 299369 1% 100% 1 Search CAUCHY+FUNCTIONS Search CAUCHY+FUNCTIONS
9 CORPS DE NOMBRES 299369 1% 100% 1 Search CORPS+DE+NOMBRES Search CORPS+DE+NOMBRES
10 DERIVEES DE HASSE 299369 1% 100% 1 Search DERIVEES+DE+HASSE Search DERIVEES+DE+HASSE

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 RIVOAL, T , WELTER, M , (2009) NON-WHOLE ARITHMETIC FUNCTIONS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 169. ISSUE 1. P. 155-179 11 100% 1
2 ADAM, D , (2012) ABEL ARITHMETIC FUNCTIONS IN FINITE CHARACTERISTIC.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 8. ISSUE 6. P. 1557-1568 7 100% 0
3 ADAM, D , (2011) THE GEL'FOND-FRIDMAN THEOREM IN POSITIVE CHARACTERISTIC.ISRAEL JOURNAL OF MATHEMATICS. VOL. 185. ISSUE 1. P. 235-251 8 80% 0
4 LAOHAKOSOL, V , RUNGROTTHEERA, W , (2011) ENTIRE FUNCTION SOLUTIONS OF A SYSTEM OF TWO RECURRENT STEP EQUATIONS WITH EXPONENTIAL POLYNOMIAL COEFFICIENTS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 17. ISSUE 11. P. 1695-1710 6 100% 0
5 ADAM, D , WELTER, M , (2015) TOTALLY ENTIRE FUNCTIONS IN FINITE CHARACTERISTIC.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 143. ISSUE 1. P. 109 -124 7 78% 0
6 PILA, J , (2003) ENTIRE FUNCTIONS HAVING A CONCORDANT VALUE SEQUENCE.ISRAEL JOURNAL OF MATHEMATICS. VOL. 134. ISSUE . P. 317-343 7 100% 2
7 LAOHAKOSOL, V , RUNGROTTHEERA, W , (2007) ENTIRE FUNCTION SOLUTIONS OF A SYSTEM OF TWO RECURRENT STEP EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 335. ISSUE 1. P. 280 -297 5 100% 1
8 ROCHEV, IP , (2011) A GENERALIZATION OF GELFOND'S AND WALDSCHMIDT'S THEOREMS ON INTEGER-VALUED ENTIRE FUNCTIONS.SBORNIK MATHEMATICS. VOL. 202. ISSUE 8. P. 1207 -1229 5 83% 0
9 JOLLY, JC , (2002) MEROMORPHIC SOLUTIONS OVER C OF A SYSTEM OF DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS AND TWO RECURRENT STEPS.ANNALES DE L INSTITUT FOURIER. VOL. 52. ISSUE 2. P. 585-+ 5 100% 2
10 PILA, J , (2009) ENTIRE FUNCTIONS SHARING ARGUMENTS OF INTEGRALITY, I.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 5. ISSUE 2. P. 339-353 4 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 14479 MAHLERS METHOD//IRRATIONALITY MEASURE//ALGEBRAIC INDEPENDENCE
2 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
3 33449 POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP
4 25048 GROWTH PROPERTY//STATIONARY SCHRODINGER OPERATOR//STATIONARY SCHRODINGER EQUATION
5 4765 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION
6 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS
7 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT
8 12574 GENERALIZED SAMPLING//AVERAGE SAMPLING//SAMPLING THEOREM
9 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
10 14887 DRINFELD MODULES//DRINFELD MODULAR FORMS//DRINFELD MODULAR CURVES

Go to start page