Class information for:
Level 1: SIEGEL MODULAR FORMS//JACOBI FORMS//ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7742 1333 18.1 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
1909 2             MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS 5891
7742 1                   SIEGEL MODULAR FORMS//JACOBI FORMS//ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 1333

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 SIEGEL MODULAR FORMS authKW 2032880 8% 83% 107
2 JACOBI FORMS authKW 522829 3% 53% 43
3 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG journal 301825 7% 14% 92
4 JACOBI GROUP authKW 257680 1% 75% 15
5 HERMITIAN MODULAR FORMS authKW 230963 1% 92% 11
6 JACOBI LIKE FORMS authKW 206150 1% 100% 9
7 SIEGEL EISENSTEIN SERIES authKW 190877 1% 83% 10
8 QUASIMODULAR FORMS authKW 175946 1% 59% 13
9 THETA SERIES authKW 169116 2% 31% 24
10 HALF INTEGRAL WEIGHT authKW 152697 1% 67% 10

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 67548 96% 0% 1274
2 Mathematics, Applied 619 10% 0% 130
3 Physics, Mathematical 1 1% 0% 13
4 Multidisciplinary Sciences -1 0% 0% 2
5 Statistics & Probability -1 0% 0% 5
6 Materials Science, Biomaterials -2 0% 0% 1
7 Sociology -3 0% 0% 1
8 Computer Science, Theory & Methods -5 0% 0% 3
9 Computer Science, Software Engineering -5 0% 0% 1
10 Engineering, Biomedical -6 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 INF 288 70141 1% 44% 7
2 LEHRSTUHL MATHEMAT A 22906 0% 100% 1
3 MATH MATH NAT WISSEN 2 22906 0% 100% 1
4 SCI MATH BUNKYO KU 22906 0% 100% 1
5 THEORET PHYS DYNAM SYST 22906 0% 100% 1
6 LEHRSTUHL MATH A 20433 1% 9% 10
7 FR2956 18322 0% 40% 2
8 MATH 13549 38% 0% 504
9 PMI 13289 0% 10% 6
10 ESCOLA POLITECN SUPER ENGN VILANOVA I LA GELTRU 11452 0% 50% 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 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 301825 7% 14% 92
2 JOURNAL OF NUMBER THEORY 55743 8% 2% 107
3 NAGOYA MATHEMATICAL JOURNAL 51088 4% 4% 52
4 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 41574 5% 3% 64
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 27926 3% 3% 37
6 MATHEMATISCHE ANNALEN 23850 5% 1% 70
7 RAMANUJAN JOURNAL 22710 2% 3% 32
8 AMERICAN JOURNAL OF MATHEMATICS 18623 3% 2% 38
9 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 17793 4% 1% 53
10 ACTA ARITHMETICA 15670 4% 1% 47

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 SIEGEL MODULAR FORMS 2032880 8% 83% 107 Search SIEGEL+MODULAR+FORMS Search SIEGEL+MODULAR+FORMS
2 JACOBI FORMS 522829 3% 53% 43 Search JACOBI+FORMS Search JACOBI+FORMS
3 JACOBI GROUP 257680 1% 75% 15 Search JACOBI+GROUP Search JACOBI+GROUP
4 HERMITIAN MODULAR FORMS 230963 1% 92% 11 Search HERMITIAN+MODULAR+FORMS Search HERMITIAN+MODULAR+FORMS
5 JACOBI LIKE FORMS 206150 1% 100% 9 Search JACOBI+LIKE+FORMS Search JACOBI+LIKE+FORMS
6 SIEGEL EISENSTEIN SERIES 190877 1% 83% 10 Search SIEGEL+EISENSTEIN+SERIES Search SIEGEL+EISENSTEIN+SERIES
7 QUASIMODULAR FORMS 175946 1% 59% 13 Search QUASIMODULAR+FORMS Search QUASIMODULAR+FORMS
8 THETA SERIES 169116 2% 31% 24 Search THETA+SERIES Search THETA+SERIES
9 HALF INTEGRAL WEIGHT 152697 1% 67% 10 Search HALF+INTEGRAL+WEIGHT Search HALF+INTEGRAL+WEIGHT
10 HECKE OPERATORS 140726 2% 24% 26 Search HECKE+OPERATORS Search HECKE+OPERATORS

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 KATSURADA, H , MIZUMOTO, S , (2012) CONGRUENCES FOR HECKE EIGENVALUES OF SIEGEL MODULAR FORMS.ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. VOL. 82. ISSUE 2. P. 129 -152 31 97% 2
2 YUEN, DS , IBUKIYAMA, T , KATSURADA, H , POOR, C , (2014) CONGRUENCES TO IKEDA-MIYAWAKI LIFTS AND TRIPLE L-VALUES OF ELLIPTIC MODULAR FORMS.JOURNAL OF NUMBER THEORY. VOL. 134. ISSUE . P. 142 -180 29 94% 1
3 KATSURADA, H , KAWAMURA, HA , (2015) IKEDA'S CONJECTURE ON THE PERIOD OF THE DUKE-IMAMOGLU-IKEDA LIFT.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 111. ISSUE . P. 445 -483 26 96% 0
4 LEE, MH , (2004) MIXED AUTOMORPHIC FORMS, TORUS BUNDLES, AND JACOBI FORMS.MIXED AUTOMORPHIC FORMS, TORUS BUNDLES, AND JACOBI FORMS. VOL. 1845. ISSUE . P. 1-236 36 84% 0
5 SAHA, A , (2015) ON RATIOS OF PETERSSON NORMS FOR YOSHIDA LIFTS.FORUM MATHEMATICUM. VOL. 27. ISSUE 4. P. 2361 -2412 25 74% 2
6 BOCHERER, S , HEIM, BE , (2006) CRITICAL VALUES OF L-FUNCTIONS ON G SP(2) X GL(2).MATHEMATISCHE ZEITSCHRIFT. VOL. 254. ISSUE 3. P. 485-503 21 95% 7
7 RAUM, M , RICHTER, OK , (2015) THE STRUCTURE OF SIEGEL MODULAR FORMS MODULO P AND U(P) CONGRUENCES.MATHEMATICAL RESEARCH LETTERS. VOL. 22. ISSUE 3. P. 899 -928 18 90% 0
8 KATSURADA, H , TAKEMORI, S , (2016) CONGRUENCE PRIMES OF THE KIM-RAMAKRISHNAN-SHAHIDI LIFT.EXPERIMENTAL MATHEMATICS. VOL. 25. ISSUE 3. P. 332 -346 21 75% 0
9 BOCHERER, S , DUMMIGAN, N , SCHULZE-PILLOT, R , (2012) YOSHIDA LIFTS AND SELMER GROUPS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 64. ISSUE 4. P. 1353 -1405 26 63% 9
10 MIZUMOTO, S , (2005) CONGRUENCES FOR FOURIER COEFFICIENTS OF LIFTED SIEGEL MODULAR FORMS I: EISENSTEIN LIFTS.ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. VOL. 75. ISSUE . P. 97-120 20 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 15354 WEAKLY HOLOMORPHIC MODULAR FORMS//GENERALIZED MODULAR FORMS//BORCHERDS PRODUCT
2 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
3 22321 SPINOR CLASS FIELDS//TERNARY QUADRATIC FORMS//REPRESENTATIONS OF INTEGERS
4 1219 DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS
5 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
6 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
7 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
8 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD
9 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION
10 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT

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