Class information for:
Level 1: BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
37400 59 14.9 21%


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
1206 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS 9179
37400 1                   BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS 59

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 BEURLING GENERALIZED PRIMES authKW 3105326 10% 100% 6
2 BEURLING GENERALIZED NUMBERS authKW 2070217 7% 100% 4
3 CHEBYSHEV PRIME BOUNDS authKW 1552663 5% 100% 3
4 BEURLING PRIMES authKW 1035109 3% 100% 2
5 THE PRIME NUMBER THEOREM authKW 1035109 3% 100% 2
6 WIENER IKEHARA TAUBERIAN THEOREM authKW 1035109 3% 100% 2
7 60B15 authKW 517554 2% 100% 1
8 ALGEBRA OF ADJOINTABLE A LINEAR MAPS authKW 517554 2% 100% 1
9 BEURLING GENERALIZED INTEGERS authKW 517554 2% 100% 1
10 BEURLING GENERALIZED PRIME NUMBERS authKW 517554 2% 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 3056 97% 0% 57
2 Mathematics, Applied 76 15% 0% 9
3 Statistics & Probability 1 2% 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 UNIILL 517554 2% 100% 1
2 KDV MATH 18317 3% 2% 2
3 UMR 5251 1420 2% 0% 1
4 MATH 1343 56% 0% 33
5 IMB 489 2% 0% 1
6 COURANT MATH SCI 152 2% 0% 1
7 MATEMAT 67 3% 0% 2
8 MATH INFORMAT 58 2% 0% 1
9 MATH STAT 26 3% 0% 2
10 MATH COMP SCI 13 2% 0% 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 ACTA ARITHMETICA 5792 10% 0% 6
2 JOURNAL OF NUMBER THEORY 5397 12% 0% 7
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 4153 5% 0% 3
4 INDAGATIONES MATHEMATICAE-NEW SERIES 3879 5% 0% 3
5 AMERICAN MATHEMATICAL MONTHLY 3062 7% 0% 4
6 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 2428 2% 0% 1
7 FIBONACCI QUARTERLY 1809 3% 0% 2
8 EXPOSITIONES MATHEMATICAE 1684 2% 0% 1
9 MISKOLC MATHEMATICAL NOTES 1242 2% 0% 1
10 MONATSHEFTE FUR MATHEMATIK 912 3% 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 BEURLING GENERALIZED PRIMES 3105326 10% 100% 6 Search BEURLING+GENERALIZED+PRIMES Search BEURLING+GENERALIZED+PRIMES
2 BEURLING GENERALIZED NUMBERS 2070217 7% 100% 4 Search BEURLING+GENERALIZED+NUMBERS Search BEURLING+GENERALIZED+NUMBERS
3 CHEBYSHEV PRIME BOUNDS 1552663 5% 100% 3 Search CHEBYSHEV+PRIME+BOUNDS Search CHEBYSHEV+PRIME+BOUNDS
4 BEURLING PRIMES 1035109 3% 100% 2 Search BEURLING+PRIMES Search BEURLING+PRIMES
5 THE PRIME NUMBER THEOREM 1035109 3% 100% 2 Search THE+PRIME+NUMBER+THEOREM Search THE+PRIME+NUMBER+THEOREM
6 WIENER IKEHARA TAUBERIAN THEOREM 1035109 3% 100% 2 Search WIENER+IKEHARA+TAUBERIAN+THEOREM Search WIENER+IKEHARA+TAUBERIAN+THEOREM
7 60B15 517554 2% 100% 1 Search 60B15 Search 60B15
8 ALGEBRA OF ADJOINTABLE A LINEAR MAPS 517554 2% 100% 1 Search ALGEBRA+OF+ADJOINTABLE+A+LINEAR+MAPS Search ALGEBRA+OF+ADJOINTABLE+A+LINEAR+MAPS
9 BEURLING GENERALIZED INTEGERS 517554 2% 100% 1 Search BEURLING+GENERALIZED+INTEGERS Search BEURLING+GENERALIZED+INTEGERS
10 BEURLING GENERALIZED PRIME NUMBERS 517554 2% 100% 1 Search BEURLING+GENERALIZED+PRIME+NUMBERS Search BEURLING+GENERALIZED+PRIME+NUMBERS

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 ZHANG, WB , CHEUNG, MP , (2015) EXTENSIONS OF BEURLING'S PRIME NUMBER THEOREM.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 11. ISSUE 5. P. 1589 -1616 9 100% 0
2 SCHLAGE-PUCHTA, JC , VINDAS, J , (2012) THE PRIME NUMBER THEOREM FOR BEURLING'S GENERALIZED NUMBERS. NEW CASES.ACTA ARITHMETICA. VOL. 153. ISSUE 3. P. 299-324 9 82% 2
3 DIAMOND, HG , ZHANG, WB , (2013) OPTIMALITY OF CHEBYSHEV BOUNDS FOR BEURLING GENERALIZED NUMBERS.ACTA ARITHMETICA. VOL. 160. ISSUE 3. P. 259-275 5 100% 0
4 DEBRUYNE, G , SCHLAGE-PUCHTA, JC , VINDAS, J , (2016) SOME EXAMPLES IN THE THEORY OF BEURLING'S GENERALIZED PRIME NUMBERS.ACTA ARITHMETICA. VOL. 176. ISSUE 2. P. 101 -129 4 100% 0
5 VINDAS, J , (2013) CHEBYSHEV UPPER ESTIMATES FOR BEURLING'S GENERALIZED PRIME NUMBERS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 20. ISSUE 1. P. 175-180 4 100% 3
6 DIAMOND, HG , ZHANG, WB , (2013) CHEBYSHEV BOUNDS FOR BEURLING NUMBERS.ACTA ARITHMETICA. VOL. 160. ISSUE 2. P. 143-157 4 100% 0
7 VINDAS, J , (2012) CHEBYSHEV ESTIMATES FOR BEURLING GENERALIZED PRIME NUMBERS. I.JOURNAL OF NUMBER THEORY. VOL. 132. ISSUE 10. P. 2371-2376 4 100% 3
8 ZHANG, WB , (2015) A PROOF OF A CONJECTURE OF BATEMAN AND DIAMOND ON BEURLING GENERALIZED PRIMES.MONATSHEFTE FUR MATHEMATIK. VOL. 176. ISSUE 4. P. 637 -656 3 100% 1
9 ZHANG, WB , (2014) WIENER-IKEHARA THEOREMS AND THE BEURLING GENERALIZED PRIMES.MONATSHEFTE FUR MATHEMATIK. VOL. 174. ISSUE 4. P. 627 -652 3 100% 1
10 DIAMOND, HG , (2011) TWO RESULTS ON BEURLING GENERALIZED NUMBERS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 79. ISSUE 3-4. P. 401-409 3 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 21141 RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS
2 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
3 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
4 26311 GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET
5 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES
6 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
7 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING
8 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
9 14037 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
10 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS

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