Class information for:
Level 1: HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18028 570 11.9 36%


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
18028 1                   HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA 570

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 HYBRID MEAN VALUE authKW 1446380 5% 100% 27
2 DEDEKIND SUMS authKW 1306778 10% 44% 55
3 ASYMPTOTIC FORMULA authKW 1136172 12% 31% 68
4 COCHRANE SUMS authKW 910684 3% 100% 17
5 MEAN VALUE authKW 852220 8% 35% 46
6 FOURTH POWER MEAN authKW 699975 2% 93% 14
7 COMPUTATIONAL FORMULA authKW 486995 2% 91% 10
8 KLOOSTERMAN SUMS authKW 419946 5% 28% 28
9 FAREY FRACTIONS authKW 415554 3% 48% 16
10 GAUSS SUMS authKW 323291 5% 23% 26

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 27732 94% 0% 534
2 Mathematics, Applied 1876 24% 0% 134
3 Statistics & Probability 4 1% 0% 7
4 Physics, Mathematical 3 1% 0% 8
5 Multidisciplinary Sciences 1 1% 0% 3
6 Literature -0 0% 0% 1
7 Computer Science, Theory & Methods -0 1% 0% 3
8 Computer Science, Information Systems -2 0% 0% 1
9 Computer Science, Interdisciplinary Applications -2 0% 0% 1
10 Energy & Fuels -4 0% 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 ROCKERFELLER 53570 0% 100% 1
2 SCLOOL ECON MANAGEMENT 53570 0% 100% 1
3 MATH ANGEW INFORMAT 53564 1% 25% 4
4 UMR 6206 163 26784 0% 50% 1
5 ZENTRUM MATH M10 26784 0% 50% 1
6 CHAIRE STRUCT ALGEBR GEOMETR 13391 0% 25% 1
7 MATH 12010 54% 0% 307
8 KHABAROVSK 10952 1% 7% 3
9 CULTURAL EDUC 7139 0% 7% 2
10 HUMAN SCI COMMON EDUC 6694 0% 13% 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 JOURNAL OF NUMBER THEORY 69383 14% 2% 78
2 ACTA ARITHMETICA 48557 9% 2% 54
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 27503 4% 2% 24
4 RAMANUJAN JOURNAL 11673 3% 1% 15
5 ACTA MATHEMATICA SINICA-ENGLISH SERIES 8965 4% 1% 21
6 CZECHOSLOVAK MATHEMATICAL JOURNAL 7713 3% 1% 18
7 BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY 6399 2% 1% 12
8 MATHEMATIKA 4993 2% 1% 9
9 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 4563 2% 1% 10
10 MONATSHEFTE FUR MATHEMATIK 2848 2% 0% 11

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 HYBRID MEAN VALUE 1446380 5% 100% 27 Search HYBRID+MEAN+VALUE Search HYBRID+MEAN+VALUE
2 DEDEKIND SUMS 1306778 10% 44% 55 Search DEDEKIND+SUMS Search DEDEKIND+SUMS
3 ASYMPTOTIC FORMULA 1136172 12% 31% 68 Search ASYMPTOTIC+FORMULA Search ASYMPTOTIC+FORMULA
4 COCHRANE SUMS 910684 3% 100% 17 Search COCHRANE+SUMS Search COCHRANE+SUMS
5 MEAN VALUE 852220 8% 35% 46 Search MEAN+VALUE Search MEAN+VALUE
6 FOURTH POWER MEAN 699975 2% 93% 14 Search FOURTH+POWER+MEAN Search FOURTH+POWER+MEAN
7 COMPUTATIONAL FORMULA 486995 2% 91% 10 Search COMPUTATIONAL+FORMULA Search COMPUTATIONAL+FORMULA
8 KLOOSTERMAN SUMS 419946 5% 28% 28 Search KLOOSTERMAN+SUMS Search KLOOSTERMAN+SUMS
9 FAREY FRACTIONS 415554 3% 48% 16 Search FAREY+FRACTIONS Search FAREY+FRACTIONS
10 GAUSS SUMS 323291 5% 23% 26 Search GAUSS+SUMS Search GAUSS+SUMS

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 62 45% 11
2 ZHANG, WP , HAN, D , (2015) A HYBRID MEAN VALUE OF DEDEKIND SUMS AND KLOOSTERMAN SUMS.JOURNAL OF NUMBER THEORY. VOL. 147. ISSUE . P. 861 -870 14 100% 1
3 ALKAN, E , (2014) RAMANUJAN SUMS ARE NEARLY ORTHOGONAL TO POWERS.JOURNAL OF NUMBER THEORY. VOL. 140. ISSUE . P. 147-168 15 94% 0
4 LOUBOUTIN, SR , (2015) TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 6. P. 2095 -2105 13 100% 1
5 ZHANG, TP , (2010) ON MIXED TWO-TERM EXPONENTIAL SUMS.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 47. ISSUE 6. P. 1107-1122 13 100% 0
6 LIU, HN , ZHANG, WP , (2009) SOME APPLICATIONS OF CERTAIN CHARACTER SUMS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 39. ISSUE 2. P. 573 -589 12 100% 0
7 CAN, M , KURT, V , (2014) CHARACTER ANALOGUES OF CERTAIN HARDY-BERNDT SUMS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 10. ISSUE 3. P. 737-762 11 92% 1
8 COBELI, C , ZAHARESCU, A , (2015) ON THE GEOMETRY BEHIND A RECURRENT RELATION.CARPATHIAN JOURNAL OF MATHEMATICS. VOL. 31. ISSUE 2. P. 165 -172 12 80% 0
9 PIGNO, V , PINNER, C , (2016) BINOMIAL CHARACTER SUMS MODULO PRIME POWERS.JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX. VOL. 28. ISSUE 1. P. 39 -53 9 100% 0
10 CVIJOVIC, D , (2011) SUMMATION FORMULAE FOR FINITE TANGENT AND SECANT SUMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 3. P. 741 -745 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
2 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
3 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
4 15841 LINEAR COMPLEXITY//K ERROR LINEAR COMPLEXITY//MULTISEQUENCES
5 23999 DIAGONAL EQUATION//EQUATION IN A FINITE FIELD//GAUSS SUM
6 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
7 14027 CIRCLE METHOD//WARING GOLDBACH PROBLEM//SIEVE METHODS
8 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
9 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
10 12985 MANINS CONJECTURE//HARDY LITTLEWOOD METHOD//FORMS IN MANY VARIABLES

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