Class information for:
Level 1: MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22454 381 18.3 30%


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
281 3       MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY 42804
2083 2             ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION 5216
22454 1                   MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION 381

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 MULTIPLE SINE FUNCTION authKW 1695854 6% 92% 23
2 MULTIPLE GAMMA FUNCTION authKW 820668 4% 64% 16
3 SELBERG ZETA FUNCTION authKW 732736 4% 57% 16
4 FIELD WITH ONE ELEMENT authKW 569915 2% 89% 8
5 DOUBLE SINE FUNCTION authKW 561012 2% 100% 7
6 RUELLE ZETA FUNCTION authKW 540971 2% 75% 9
7 ZETA REGULARIZED PRODUCT authKW 512922 2% 80% 8
8 F 1 GEOMETRY authKW 333934 1% 83% 5
9 MULTIPLE HURWITZ ZETA FUNCTION authKW 250448 1% 63% 5
10 BC SYSTEM authKW 240434 1% 100% 3

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 17398 91% 0% 346
2 Mathematics, Applied 350 13% 0% 50
3 Physics, Mathematical 103 5% 0% 20
4 Computer Science, Theory & Methods 0 1% 0% 3
5 Multidisciplinary Sciences -0 0% 0% 1
6 Physics, Nuclear -0 1% 0% 3
7 Physics, Particles & Fields -0 1% 0% 3
8 Astronomy & Astrophysics -3 1% 0% 2
9 Physics, Multidisciplinary -4 1% 0% 2

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 UFR SCI TECHUMR 6085 160289 1% 100% 2
2 ZETA 160289 1% 100% 2
3 FRANCE 3 80145 0% 100% 1
4 KAWAIJUKU 80145 0% 100% 1
5 OHOKAYAMA MEGURO KU 80145 0% 100% 1
6 UNIT MATH SCI 80145 0% 100% 1
7 ZETA MATH 80145 0% 100% 1
8 HIYOSHI KOHOKU KU 40071 0% 50% 1
9 MATH LAMUSE 40071 0% 50% 1
10 INFORMAT MATH E STUDIES 16027 0% 20% 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 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 65777 11% 2% 43
2 JOURNAL OF NUMBER THEORY 16371 8% 1% 31
3 KODAI MATHEMATICAL JOURNAL 11175 2% 2% 7
4 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 4342 4% 0% 14
5 INTERNATIONAL JOURNAL OF MATHEMATICS 4112 2% 1% 9
6 ACTA ARITHMETICA 3571 3% 0% 12
7 MATHEMATISCHE ANNALEN 3329 4% 0% 14
8 NAGOYA MATHEMATICAL JOURNAL 3232 2% 1% 7
9 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 1645 2% 0% 6
10 INVENTIONES MATHEMATICAE 1626 2% 0% 8

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 MULTIPLE SINE FUNCTION 1695854 6% 92% 23 Search MULTIPLE+SINE+FUNCTION Search MULTIPLE+SINE+FUNCTION
2 MULTIPLE GAMMA FUNCTION 820668 4% 64% 16 Search MULTIPLE+GAMMA+FUNCTION Search MULTIPLE+GAMMA+FUNCTION
3 SELBERG ZETA FUNCTION 732736 4% 57% 16 Search SELBERG+ZETA+FUNCTION Search SELBERG+ZETA+FUNCTION
4 FIELD WITH ONE ELEMENT 569915 2% 89% 8 Search FIELD+WITH+ONE+ELEMENT Search FIELD+WITH+ONE+ELEMENT
5 DOUBLE SINE FUNCTION 561012 2% 100% 7 Search DOUBLE+SINE+FUNCTION Search DOUBLE+SINE+FUNCTION
6 RUELLE ZETA FUNCTION 540971 2% 75% 9 Search RUELLE+ZETA+FUNCTION Search RUELLE+ZETA+FUNCTION
7 ZETA REGULARIZED PRODUCT 512922 2% 80% 8 Search ZETA+REGULARIZED+PRODUCT Search ZETA+REGULARIZED+PRODUCT
8 F 1 GEOMETRY 333934 1% 83% 5 Search F+1+GEOMETRY Search F+1+GEOMETRY
9 MULTIPLE HURWITZ ZETA FUNCTION 250448 1% 63% 5 Search MULTIPLE+HURWITZ+ZETA+FUNCTION Search MULTIPLE+HURWITZ+ZETA+FUNCTION
10 BC SYSTEM 240434 1% 100% 3 Search BC+SYSTEM Search BC+SYSTEM

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 KUROKAWA, N , (2009) AUTOMORPHY OF THE PRINCIPAL EISENSTEIN SERIES OF WEIGHT 1: AN APPLICATION OF THE DOUBLE SINE FUNCTION.KODAI MATHEMATICAL JOURNAL. VOL. 32. ISSUE 3. P. 391 -403 15 100% 1
2 PARK, J , (2009) ANALYTIC TORSION AND RUELLE ZETA FUNCTIONS FOR HYPERBOLIC MANIFOLDS WITH CUSPS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 257. ISSUE 6. P. 1713-1758 12 86% 3
3 ONODERA, K , (2013) AN ANALOGUE OF THE DEDEKIND-RADEMACHER SUM AND CERTAIN RAY CLASS INVARIANTS OF REAL QUADRATIC FIELDS.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 6. P. 1907-1931 11 85% 0
4 TANAKA, H , (2011) MULTIPLE GAMMA FUNCTIONS, MULTIPLE SINE FUNCTIONS, AND APPELL'S O-FUNCTIONS.RAMANUJAN JOURNAL. VOL. 24. ISSUE 1. P. 33 -60 10 91% 0
5 KUROKAWA, N , WAKAYAMA, M , (2005) EXTENSIONS OF ZETA FUNCTIONS - EXAMPLES AND A STUDY OF THE DOUBLE SINE FUNCTIONS.ACTA APPLICANDAE MATHEMATICAE. VOL. 86. ISSUE 1-2. P. 179-201 12 86% 0
6 GON, Y , PARK, J , (2010) THE ZETA FUNCTIONS OF RUELLE AND SELBERG FOR HYPERBOLIC MANIFOLDS WITH CUSPS.MATHEMATISCHE ANNALEN. VOL. 346. ISSUE 3. P. 719 -767 15 58% 5
7 AKATSUKA, H , (2009) THE DOUBLE RIEMANN ZETA FUNCTION.COMMUNICATIONS IN NUMBER THEORY AND PHYSICS. VOL. 3. ISSUE 4. P. 619-653 9 100% 0
8 CONNES, A , CONSANI, C , (2014) ON THE ARITHMETIC OF THE BC-SYSTEM.JOURNAL OF NONCOMMUTATIVE GEOMETRY. VOL. 8. ISSUE 3. P. 873 -945 9 82% 0
9 KUROKAWA, N , WAKAYAMA, M , (2004) HIGHER SELBERG ZETA FUNCTIONS.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 247. ISSUE 2. P. 447-466 11 85% 2
10 PARK, JS , (2005) ETA INVARIANTS AND REGULARIZED DETERMINANTS FOR ODD DIMENSIONAL HYPERBOLIC MANIFOLDS WITH CUSPS.AMERICAN JOURNAL OF MATHEMATICS. VOL. 127. ISSUE 3. P. 493-534 13 68% 8

Classes with closest relation at Level 1


Rank Class id link
1 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
2 20186 LAPLACIAN ON FORMS//COLLAPSING OF RIEMANNIAN MANIFOLDS//BIPOLAR SURFACE
3 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES
4 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
5 18353 ANALYTIC TORSION//INDEX THEORY AND RELATED FIXED POINT THEOREMS//QUILLEN METRIC
6 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
7 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
8 25860 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
9 35025 VANISHING HESSIAN//SCORZA VARIETY//ACCOMMODATION AND RESISTANCE
10 9545 PHYS IFAE//IST MECCAN//PHYS ECM

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