Class information for:
Level 1: DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13255 851 14.1 31%


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
13255 1                   DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS 851

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 DIRICHLET DIVISOR PROBLEM authKW 462587 2% 68% 19
2 DIVISOR PROBLEM authKW 417507 2% 73% 16
3 LATTICE POINTS authKW 392562 5% 28% 39
4 KATEDRA MATEMAT RGF A address 361791 1% 92% 11
5 PIATETSKI SHAPIRO PRIMES authKW 287042 1% 100% 8
6 ACTA ARITHMETICA journal 244553 17% 5% 148
7 KATEDRA MATEMAT RGFA address 195345 1% 78% 7
8 EXPONENTIAL SUMS authKW 181592 6% 10% 52
9 ATKINSONS FORMULA authKW 179401 1% 100% 5
10 PRIMITIVE LATTICE POINTS authKW 179401 1% 100% 5

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 42764 95% 0% 810
2 Mathematics, Applied 582 12% 0% 98
3 Multidisciplinary Sciences 9 1% 0% 7
4 Physics, Mathematical 1 1% 0% 9
5 Mathematics, Interdisciplinary Applications -0 0% 0% 4
6 Statistics & Probability -1 0% 0% 3
7 Mathematical & Computational Biology -1 0% 0% 1
8 Computer Science, Software Engineering -1 0% 0% 2
9 Automation & Control Systems -2 0% 0% 1
10 Mechanics -2 1% 0% 5

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 KATEDRA MATEMAT RGF A 361791 1% 92% 11
2 KATEDRA MATEMAT RGFA 195345 1% 78% 7
3 MATH ANGEW STAT 146505 1% 58% 7
4 MATH ANG STAT 143521 0% 100% 4
5 KATEDRA MATEMAT RGF 71761 0% 100% 2
6 MATH UAST 71761 0% 100% 2
7 ELIE CARTAN 47241 3% 5% 29
8 HBEREICH MATH WERPUNKT ANAL DIFFERENTIALG 35880 0% 100% 1
9 INEGRATED ARTS SCI 35880 0% 100% 1
10 INTEGRATED HUMAN SCI MATH 35880 0% 100% 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 244553 17% 5% 148
2 MONATSHEFTE FUR MATHEMATIK 55175 7% 3% 59
3 JOURNAL OF NUMBER THEORY 41775 9% 2% 74
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 16902 3% 2% 23
5 ARCHIV DER MATHEMATIK 15054 5% 1% 46
6 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 14276 2% 2% 16
7 MATHEMATIKA 10575 2% 2% 16
8 ACTA MATHEMATICA HUNGARICA 8816 3% 1% 27
9 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 4552 2% 1% 16
10 RAMANUJAN JOURNAL 3464 1% 1% 10

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 DIRICHLET DIVISOR PROBLEM 462587 2% 68% 19 Search DIRICHLET+DIVISOR+PROBLEM Search DIRICHLET+DIVISOR+PROBLEM
2 DIVISOR PROBLEM 417507 2% 73% 16 Search DIVISOR+PROBLEM Search DIVISOR+PROBLEM
3 LATTICE POINTS 392562 5% 28% 39 Search LATTICE+POINTS Search LATTICE+POINTS
4 PIATETSKI SHAPIRO PRIMES 287042 1% 100% 8 Search PIATETSKI+SHAPIRO+PRIMES Search PIATETSKI+SHAPIRO+PRIMES
5 EXPONENTIAL SUMS 181592 6% 10% 52 Search EXPONENTIAL+SUMS Search EXPONENTIAL+SUMS
6 ATKINSONS FORMULA 179401 1% 100% 5 Search ATKINSONS+FORMULA Search ATKINSONS+FORMULA
7 PRIMITIVE LATTICE POINTS 179401 1% 100% 5 Search PRIMITIVE+LATTICE+POINTS Search PRIMITIVE+LATTICE+POINTS
8 RIEMANN ZETA FUNCTION 159445 6% 9% 49 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
9 MEAN SQUARE 156259 2% 31% 14 Search MEAN+SQUARE Search MEAN+SQUARE
10 BODIES OF ROTATION 143521 0% 100% 4 Search BODIES+OF+ROTATION Search BODIES+OF+ROTATION

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 TSANG, KM , (2010) RECENT PROGRESS ON THE DIRICHLET DIVISOR PROBLEM AND THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION.SCIENCE CHINA-MATHEMATICS. VOL. 53. ISSUE 9. P. 2561 -2572 19 100% 5
2 CAO, XD , FURUYA, J , TANIGAWA, Y , ZHAI, WG , (2014) ON THE DIFFERENCES BETWEEN TWO KINDS OF MEAN VALUE FORMULAS OF NUMBER-THEORETIC ERROR TERMS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 10. ISSUE 5. P. 1143 -1170 17 100% 1
3 GAO, XD , TANIGAWA, Y , ZHAI, WG , (2010) ON A CONJECTURE OF CHOWLA AND WALUM.SCIENCE CHINA-MATHEMATICS. VOL. 53. ISSUE 10. P. 2755-2771 17 94% 0
4 ZHAI, WG , CAO, XD , (2010) ON THE MEAN SQUARE OF THE ERROR TERM FOR THE ASYMMETRIC TWO-DIMENSIONAL DIVISOR PROBLEM (I).MONATSHEFTE FUR MATHEMATIK. VOL. 159. ISSUE 1-2. P. 185 -209 16 100% 0
5 ZHAI, WG , (2003) SHORT INTERVAL RESULTS FOR A CLASS OF INTEGERS.MONATSHEFTE FUR MATHEMATIK. VOL. 140. ISSUE 3. P. 233 -257 18 100% 2
6 IVIC, A , ZHAI, WG , (2015) ON SOME MEAN VALUE RESULTS FOR THE ZETA-FUNCTION AND A DIVISOR PROBLEM II.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 26. ISSUE 5. P. 842 -866 15 88% 0
7 FILASETA, M , TRIFONOV, O , (1996) THE DISTRIBUTION OF FRACTIONAL PARTS WITH APPLICATIONS TO GAP RESULTS IN NUMBER THEORY.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 73. ISSUE . P. 241-278 23 96% 20
8 IVIC, A , ZHAI, WG , (2014) ON THE DIRICHLET DIVISOR PROBLEM IN SHORT INTERVALS.RAMANUJAN JOURNAL. VOL. 33. ISSUE 3. P. 447 -465 13 100% 0
9 CAO, XD , ZHAI, WG , (2010) ON THE MEAN SQUARE OF THE ERROR TERM FOR THE ASYMMETRIC TWO-DIMENSIONAL DIVISOR PROBLEMS(II).MONATSHEFTE FUR MATHEMATIK. VOL. 160. ISSUE 2. P. 115 -142 15 94% 0
10 WU, J , ZHAI, WG , (2013) DISTRIBUTION OF HECKE EIGENVALUES OF NEWFORMS IN SHORT INTERVALS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 64. ISSUE 2. P. 619-644 16 80% 2

Classes with closest relation at Level 1


Rank Class id link
1 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
2 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
3 29343 SPACE OF ANALYTIC FUNCTIONS//JOINT UNIVERSALITY//PERIODIC HURWITZ ZETA FUNCTION
4 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
5 13744 EGYPTIAN FRACTIONS//COMP ALGEBRA//MULTIPLICATIVE FUNCTIONS
6 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES
7 16683 DIGITAL GEOMETRY//MULTIGRID CONVERGENCE//DIGITAL LINE
8 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA
9 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
10 29941 PINSKY PHENOMENON//SPHERICAL PARTIAL SUM//FAK 1

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