Class information for:
Level 1: SELBERG CLASS//LIS CRITERION//STIELTJES CONSTANTS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
16222 599 14.2 26%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
1366 7763 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//CIRCLE METHOD

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 SELBERG CLASS Author keyword 25 65% 4% 24
2 LIS CRITERION Author keyword 20 100% 2% 9
3 STIELTJES CONSTANTS Author keyword 14 65% 2% 13
4 LI CRITERION Author keyword 12 86% 1% 6
5 CHEBYSHEVS BIAS Author keyword 11 100% 1% 6
6 RIEMANN HYPOTHESIS Author keyword 8 21% 6% 34
7 LI KEIPER CONSTANTS Author keyword 6 80% 1% 4
8 RIEMANN ZETA FUNCTION Author keyword 6 10% 9% 53
9 FACTORIZATIONS OF DISTINCT LENGTHS Author keyword 6 100% 1% 4
10 LAURENT EXPANSION Author keyword 5 37% 2% 11

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 SELBERG CLASS 25 65% 4% 24 Search SELBERG+CLASS Search SELBERG+CLASS
2 LIS CRITERION 20 100% 2% 9 Search LIS+CRITERION Search LIS+CRITERION
3 STIELTJES CONSTANTS 14 65% 2% 13 Search STIELTJES+CONSTANTS Search STIELTJES+CONSTANTS
4 LI CRITERION 12 86% 1% 6 Search LI+CRITERION Search LI+CRITERION
5 CHEBYSHEVS BIAS 11 100% 1% 6 Search CHEBYSHEVS+BIAS Search CHEBYSHEVS+BIAS
6 RIEMANN HYPOTHESIS 8 21% 6% 34 Search RIEMANN+HYPOTHESIS Search RIEMANN+HYPOTHESIS
7 LI KEIPER CONSTANTS 6 80% 1% 4 Search LI+KEIPER+CONSTANTS Search LI+KEIPER+CONSTANTS
8 RIEMANN ZETA FUNCTION 6 10% 9% 53 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
9 FACTORIZATIONS OF DISTINCT LENGTHS 6 100% 1% 4 Search FACTORIZATIONS+OF+DISTINCT+LENGTHS Search FACTORIZATIONS+OF+DISTINCT+LENGTHS
10 LAURENT EXPANSION 5 37% 2% 11 Search LAURENT+EXPANSION Search LAURENT+EXPANSION

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 SELBERG CLASS 17 68% 3% 15
2 MULTIPLICATIVE NUMBER THEORY 15 88% 1% 7
3 MEISSEL 13 80% 1% 8
4 SHARPER BOUNDS 12 63% 2% 12
5 LEHMER 10 73% 1% 8
6 RIEMANN HYPOTHESIS 7 32% 3% 19
7 PI X 6 80% 1% 4
8 ADDITIVE UNIQUENESS SETS 6 100% 1% 4
9 PRIME NUMBER FORMULA 6 100% 1% 4
10 STIELTJES CONSTANTS 4 56% 1% 5

Journals

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
Computational strategies for the Riemann zeta function 2000 51 33 33%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ.
in class
1 CNRS PAUL PAINLEVE 2 67% 0.3% 2
2 UP A CNRS 5028 1 50% 0.2% 1
3 ALGORITHM ARITHMET 1 22% 0.3% 2
4 MATH MATH 0 33% 0.2% 1
5 UP A MATH 5028 0 33% 0.2% 1
6 ALGORITHM ARITHMET EXPT 0 25% 0.2% 1
7 CRYPTOL ALGORITHMS 0 25% 0.2% 1
8 ESA 6090 0 25% 0.2% 1
9 LPMV 0 13% 0.3% 2
10 CERFIM 0 17% 0.2% 1

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000238195 RIEMANN HYPOTHESIS//RAMANUJAN SUMS//CAMILLE JORDAN CNRS UMR 5208
2 0.0000191124 LOW LYING ZEROS//SUBCONVEXITY//FOURIER COEFFICIENTS OF CUSP FORMS
3 0.0000130072 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
4 0.0000128701 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//FIELD WITH ONE ELEMENT
5 0.0000118203 ORDERED FACTORIZATIONS//FACTORISATIO NUMERORUM//IMPROPER EDGE
6 0.0000105719 MULTIPLE ZETA VALUES//EULER SUMS//MULTIPLE ZETA VALUE
7 0.0000093193 FRIABLE INTEGERS//COMP ALGEBRA//ADDITIVE ARITHMETIC FUNCTION
8 0.0000091942 SPACE OF ANALYTIC FUNCTIONS//JOINT UNIVERSALITY//PERIODIC HURWITZ ZETA FUNCTION
9 0.0000090615 KATEDRA MATEMAT RGF A//DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM
10 0.0000090404 PERFECT NUMBER//SOCIABLE NUMBERS//SUM OF DIVISORS