Class information for:
Level 2: ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//CIRCLE METHOD

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1366 7763 15.3 32%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
238 43607 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//INTERNATIONAL JOURNAL OF NUMBER THEORY

Classes in level below (level 1)


ID, lev. below Publications Label for level below
7208 1317 LOW LYING ZEROS//SUBCONVEXITY//FOURIER COEFFICIENTS OF CUSP FORMS
9529 1080 WARING GOLDBACH PROBLEM//CIRCLE METHOD//HARDY LITTLEWOOD METHOD
9547 1077 FRIABLE INTEGERS//COMP ALGEBRA//ADDITIVE ARITHMETIC FUNCTION
11711 896 HYBRID MEAN VALUE//SUM PRODUCT ESTIMATES//COCHRANE SUMS
12070 870 KATEDRA MATEMAT RGF A//DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM
13768 752 CARMICHAEL NUMBER//CARMICHAEL NUMBERS//STRONG PSEUDOPRIMES
16222 599 SELBERG CLASS//LIS CRITERION//STIELTJES CONSTANTS
22924 308 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//FIELD WITH ONE ELEMENT
25468 232 RIEMANN HYPOTHESIS//RAMANUJAN SUMS//CAMILLE JORDAN CNRS UMR 5208
27571 186 PERFECT NUMBER//SOCIABLE NUMBERS//SUM OF DIVISORS
28569 166 SPACE OF ANALYTIC FUNCTIONS//JOINT UNIVERSALITY//PERIODIC HURWITZ ZETA FUNCTION
31274 125 CURLICUES//HEISENBERG UNIQUENESS PAIRS//INCOMPLETE GAUSS SUM
32622 105 EGYPTIAN FRACTIONS//BINARY EGYPTIAN FRACTIONS//ERDOS MOSER EQUATION
35166 50 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS

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 ACTA ARITHMETICA Journal 279 28% 11% 861
2 JOURNAL OF NUMBER THEORY Journal 132 17% 9% 716
3 CIRCLE METHOD Author keyword 121 72% 1% 94
4 WARING GOLDBACH PROBLEM Author keyword 111 100% 0% 32
5 RIEMANN ZETA FUNCTION Author keyword 109 41% 3% 209
6 SELBERG CLASS Author keyword 85 92% 0% 34
7 EXPONENTIAL SUMS Author keyword 84 43% 2% 151
8 SIEVE METHODS Author keyword 83 90% 0% 36
9 HYBRID MEAN VALUE Author keyword 80 100% 0% 25
10 RIEMANN HYPOTHESIS Author keyword 76 56% 1% 92

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 CIRCLE METHOD 121 72% 1% 94 Search CIRCLE+METHOD Search CIRCLE+METHOD
2 WARING GOLDBACH PROBLEM 111 100% 0% 32 Search WARING+GOLDBACH+PROBLEM Search WARING+GOLDBACH+PROBLEM
3 RIEMANN ZETA FUNCTION 109 41% 3% 209 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
4 SELBERG CLASS 85 92% 0% 34 Search SELBERG+CLASS Search SELBERG+CLASS
5 EXPONENTIAL SUMS 84 43% 2% 151 Search EXPONENTIAL+SUMS Search EXPONENTIAL+SUMS
6 SIEVE METHODS 83 90% 0% 36 Search SIEVE+METHODS Search SIEVE+METHODS
7 HYBRID MEAN VALUE 80 100% 0% 25 Search HYBRID+MEAN+VALUE Search HYBRID+MEAN+VALUE
8 RIEMANN HYPOTHESIS 76 56% 1% 92 Search RIEMANN+HYPOTHESIS Search RIEMANN+HYPOTHESIS
9 HARDY LITTLEWOOD METHOD 75 91% 0% 31 Search HARDY+LITTLEWOOD+METHOD Search HARDY+LITTLEWOOD+METHOD
10 SHORT INTERVALS 61 95% 0% 20 Search SHORT+INTERVALS Search SHORT+INTERVALS

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 SHORT INTERVALS 131 87% 1% 65
2 RIEMANN ZETA FUNCTION 114 58% 2% 130
3 WARING PROBLEM 92 78% 1% 62
4 DIVISOR PROBLEM 83 94% 0% 30
5 EXPONENTIAL SUMS 77 43% 2% 138
6 EXCEPTIONAL SET 76 93% 0% 28
7 AUTOMORPHIC L FUNCTIONS 75 57% 1% 88
8 BOUNDED HEIGHT 73 68% 1% 64
9 DELTAX 68 100% 0% 22
10 SUM PRODUCT ESTIMATE 65 95% 0% 21

Journals


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 ACTA ARITHMETICA 279 28% 11% 861
2 JOURNAL OF NUMBER THEORY 132 17% 9% 716
3 MATHEMATIKA 31 19% 2% 153
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 30 17% 2% 160
5 RAMANUJAN JOURNAL 10 11% 1% 93
6 LITHUANIAN MATHEMATICAL JOURNAL 5 12% 0% 38
7 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 3 14% 0% 22

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Computational strategies for the Riemann zeta function 2000 51 33 42%
Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function 2010 2 19 100%
STATISTICAL PROPERTIES OF THE SPECTRA OF LAPLACE-BELTRAMI OPERATORS ON LIOUVILLE SURFACES 1993 27 15 67%
1/F noise, the measurement of time and number theory 2001 6 2 100%
A century of complex Tauberian theory 2002 19 21 38%
Number theory - Probabilistic, heuristic, and computational approaches 2002 4 23 91%
Numbers in a given set with (or without) a large prime factor 2009 0 67 94%
Developments in random matrix theory 2003 51 68 13%
TOWARDS ACHIEVING DATA-SECURITY 1987 0 1 100%
ANALYTIC ARITHMETIC IN ALGEBRAIC NUMBER-FIELDS 1986 0 14 86%

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 KATEDRA MATEMAT RGF A 23 100% 0.1% 10
2 COMP ALGEBRA 18 43% 0.4% 32
3 KATEDRA MATEMAT RGFA 18 89% 0.1% 8
4 PROBABIL THEORY NUMBER THEORY 18 89% 0.1% 8
5 ELIE CARTAN 13 14% 1.1% 86
6 RAYMOND BEVERLY SACKLER MATH SCI 7 27% 0.3% 22
7 MATH ANGEW STAT 6 58% 0.1% 7
8 MATH ANG STAT 6 100% 0.1% 4
9 UNIV EDUC 5 23% 0.2% 19
10 ELTE TTK 4 56% 0.1% 5

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000017609 ZERO DIVISOR GRAPH//DAVENPORT CONSTANT//ZERO SUM PROBLEMS
2 0.0000013495 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//IWASAWA THEORY
3 0.0000013105 SIEGEL MODULAR FORMS//MATEMAT FUNDAMENTALES//REGULAR MAP
4 0.0000011648 DUNKL TRANSFORM//DUNKL OPERATORS//BRANCHING LAW
5 0.0000009588 MAHLER MEASURE//HILBERTS TENTH PROBLEM//INTEGER TRANSFINITE DIAMETER
6 0.0000008956 RAMANUJAN JOURNAL//Q SERIES//BASIC HYPERGEOMETRIC SERIES
7 0.0000008312 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD CLOSED SET
8 0.0000006446 RANDOM MATRICES//KAC RICE FORMULA//SAMPLE COVARIANCE MATRICES
9 0.0000006169 BLOCK CIPHER//ALGEBRAIC IMMUNITY//CRYPTOGRAPHY
10 0.0000005642 JOURNAL OF SYMBOLIC COMPUTATION//IMPLICITIZATION//MU BASIS