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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1206 9179 15.3 33%


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
5000 1                   L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS 1690
12985 1                   MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES 868
13255 1                   DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS 851
13744 1                   EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS 816
13837 1                   SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES 809
14027 1                   CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS 798
14037 1                   CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME 797
18028 1                   HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA 570
19793 1                   PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS 489
23999 1                   DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM 327
24944 1                   COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS 296
25860 1                   ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS 270
27534 1                   PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS 227
29343 1                   SPACE OF ANALYTIC FUNCTIONS//JOINT UNIVERSALITY//PERIODIC HURWITZ ZETA FUNCTION 188
33449 1                   POLYADIC GROUPS//WARINGS PROBLEM//N M SEMIGROUP 124
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 ACTA ARITHMETICA journal 993358 11% 31% 980
2 JOURNAL OF NUMBER THEORY journal 589820 10% 19% 913
3 MATHEMATICS WoSSC 399406 89% 2% 8141
4 EXPONENTIAL SUMS authKW 388862 3% 47% 250
5 RIEMANN ZETA FUNCTION authKW 333985 3% 43% 233
6 CIRCLE METHOD authKW 287570 1% 77% 112
7 L FUNCTIONS authKW 243868 2% 43% 172
8 RIEMANN HYPOTHESIS authKW 240817 1% 66% 110
9 DIRICHLET L FUNCTIONS authKW 181726 1% 68% 81
10 INTERNATIONAL JOURNAL OF NUMBER THEORY journal 180720 3% 22% 247

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 399406 89% 2% 8141
2 Mathematics, Applied 16039 18% 0% 1609
3 Computer Science, Theory & Methods 391 2% 0% 229
4 Physics, Mathematical 71 2% 0% 139
5 Multidisciplinary Sciences 21 1% 0% 49
6 Statistics & Probability 9 1% 0% 75
7 Logic 3 0% 0% 8
8 History & Philosophy of Science 2 0% 0% 16
9 COMPUTER APPLICATIONS & CYBERNETICS 2 0% 0% 2
10 Computer Science, Hardware & Architecture -1 0% 0% 24

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 MATH 103740 40% 1% 3653
2 COMP ALGEBRA 51515 0% 44% 35
3 ELIE CARTAN 39293 1% 14% 87
4 KATEDRA MATEMAT RGF A 33522 0% 92% 11
5 KATEDRA MATEMAT RGFA 23641 0% 89% 8
6 PROBABIL THEORY NUMBER THEORY 23641 0% 89% 8
7 UNIV EDUC 17694 0% 22% 24
8 RAYMOND BEVERLY SACKLER MATH SCI 17457 0% 24% 22
9 MODERN MATH 16624 0% 100% 5
10 MATH ANGEW STAT 13570 0% 58% 7

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 993358 11% 31% 980
2 JOURNAL OF NUMBER THEORY 589820 10% 19% 913
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 180720 3% 22% 247
4 MATHEMATIKA 108086 2% 19% 168
5 MATHEMATICS OF COMPUTATION 100460 4% 9% 347
6 MONATSHEFTE FUR MATHEMATIK 52783 2% 8% 190
7 RAMANUJAN JOURNAL 41747 1% 11% 114
8 QUARTERLY JOURNAL OF MATHEMATICS 37700 1% 9% 128
9 ACTA MATHEMATICA HUNGARICA 32262 2% 6% 170
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 28313 2% 5% 176

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 EXPONENTIAL SUMS 388862 3% 47% 250 Search EXPONENTIAL+SUMS Search EXPONENTIAL+SUMS
2 RIEMANN ZETA FUNCTION 333985 3% 43% 233 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
3 CIRCLE METHOD 287570 1% 77% 112 Search CIRCLE+METHOD Search CIRCLE+METHOD
4 L FUNCTIONS 243868 2% 43% 172 Search L+FUNCTIONS Search L+FUNCTIONS
5 RIEMANN HYPOTHESIS 240817 1% 66% 110 Search RIEMANN+HYPOTHESIS Search RIEMANN+HYPOTHESIS
6 DIRICHLET L FUNCTIONS 181726 1% 68% 81 Search DIRICHLET+L+FUNCTIONS Search DIRICHLET+L+FUNCTIONS
7 SIEVE METHODS 178732 1% 79% 68 Search SIEVE+METHODS Search SIEVE+METHODS
8 CHARACTER SUMS 156924 1% 56% 85 Search CHARACTER+SUMS Search CHARACTER+SUMS
9 WARING GOLDBACH PROBLEM 152936 1% 100% 46 Search WARING+GOLDBACH+PROBLEM Search WARING+GOLDBACH+PROBLEM
10 SELBERG CLASS 139923 0% 96% 44 Search SELBERG+CLASS Search SELBERG+CLASS

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 SHPARLINSKI, IE , (2012) MODULAR HYPERBOLAS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 7. ISSUE 2. P. 235 -294 110 79% 11
2 BAKER, R , (2009) NUMBERS IN A GIVEN SET WITH (OR WITHOUT) A LARGE PRIME FACTOR.RAMANUJAN JOURNAL. VOL. 20. ISSUE 3. P. 275 -295 63 94% 0
3 PARSELL, ST , WOOLEY, TD , (2014) EXCEPTIONAL SETS FOR DIOPHANTINE INEQUALITIES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 14. P. 3919 -3974 38 100% 2
4 FIORILLI, D , MILLER, SJ , (2015) SURPASSING THE RATIOS CONJECTURE IN THE 1-LEVEL DENSITY OF DIRICHLET L-FUNCTIONS.ALGEBRA & NUMBER THEORY. VOL. 9. ISSUE 1. P. 13 -52 37 95% 2
5 DERENTHAL, U , FREI, C , (2014) COUNTING IMAGINARY QUADRATIC POINTS VIA UNIVERSAL TORSORS.COMPOSITIO MATHEMATICA. VOL. 150. ISSUE 10. P. 1631 -1678 35 92% 3
6 GARAEV, MZ , (2010) SUMS AND PRODUCTS OF SETS AND ESTIMATES OF RATIONAL TRIGONOMETRIC SUMS IN FIELDS OF PRIME ORDER.RUSSIAN MATHEMATICAL SURVEYS. VOL. 65. ISSUE 4. P. 599 -658 41 82% 7
7 MILINOVICH, MB , NG, N , (2014) SIMPLE ZEROS OF MODULAR L-FUNCTIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 109. ISSUE . P. 1465 -1506 32 94% 3
8 MOREE, P , (2013) NICOLAAS GOVERT DE BRUIJN, THE ENCHANTER OF FRIABLE INTEGERS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 24. ISSUE 4. P. 774 -801 32 97% 3
9 BARRETT, O , MCDONALD, B , MILLER, SJ , RYAN, P , TURNAGE-BUTTERBAUGH, CL , WINSOR, K , (2015) GAPS BETWEEN ZEROS OF GL(2) L-FUNCTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 429. ISSUE 1. P. 204 -232 31 97% 0
10 BLOMER, V , MILICEVIC, D , (2015) THE SECOND MOMENT OF TWISTED MODULAR L-FUNCTIONS.GEOMETRIC AND FUNCTIONAL ANALYSIS. VOL. 25. ISSUE 2. P. 453 -516 30 94% 3

Classes with closest relation at Level 2


Rank Class id link
1 3165 SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE
2 376 JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA
3 2567 LINEAR COMPLEXITY//PERMUTATION POLYNOMIAL//FINITE FIELDS AND THEIR APPLICATIONS
4 1707 JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS
5 1909 MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS
6 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
7 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
8 1244 FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS
9 1098 HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS
10 3826 QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA

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