Class information for:
Level 1: DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1219 2778 22.7 39%


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
1797 2             MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS 6311
1219 1                   DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS 2778

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 DISTINGUISHED REPRESENTATIONS authKW 208810 1% 100% 19
2 AUTOMORPHIC REPRESENTATIONS authKW 206319 1% 57% 33
3 ORBITAL INTEGRALS authKW 179494 1% 78% 21
4 P ADIC GROUPS authKW 171071 1% 65% 24
5 MATHEMATICS WoSSC 151326 99% 1% 2751
6 SUPERCUSPIDAL REPRESENTATIONS authKW 144361 1% 77% 17
7 METAPLECTIC GROUPS authKW 143601 1% 93% 14
8 THETA CORRESPONDENCE authKW 136941 1% 69% 18
9 COMPOSITIO MATHEMATICA journal 125201 6% 7% 167
10 RELATIVE TRACE FORMULA authKW 123817 0% 87% 13

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 151326 99% 1% 2751
2 Mathematics, Applied 425 6% 0% 173
3 Literature, African, Australian, Canadian 1 0% 0% 1
4 Multidisciplinary Sciences -1 0% 0% 5
5 Physics, Mathematical -11 0% 0% 6
6 Statistics & Probability -14 0% 0% 1
7 Computer Science, Theory & Methods -15 0% 0% 3
8 Physics, Nuclear -22 0% 0% 1
9 Physics, Particles & Fields -27 0% 0% 1
10 Physiology -29 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 MATH 38737 44% 0% 1224
2 MATH JUSSIEU 27837 2% 5% 53
3 UMR 8628 25053 1% 6% 36
4 FB REINE MATH 21980 0% 100% 2
5 NICKI J IRA HARRIS PROFESSORIAL CHAIR 21980 0% 100% 2
6 UMR 6206 21576 1% 12% 17
7 SACKLER EXACT SCI 20500 2% 4% 42
8 MATH LUMINY 20074 1% 8% 23
9 FRE 3529 19780 0% 60% 3
10 URA 752 CNRS 19780 0% 60% 3

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 COMPOSITIO MATHEMATICA 125201 6% 7% 167
2 AMERICAN JOURNAL OF MATHEMATICS 69605 4% 6% 106
3 DUKE MATHEMATICAL JOURNAL 60587 5% 4% 127
4 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 55698 4% 5% 108
5 CONTEMPORARY MATHEMATICS 52081 1% 23% 21
6 PACIFIC JOURNAL OF MATHEMATICS 50425 5% 3% 145
7 JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 49217 1% 12% 38
8 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 49062 5% 4% 127
9 INVENTIONES MATHEMATICAE 41600 4% 3% 109
10 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 33346 2% 6% 53

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 DISTINGUISHED REPRESENTATIONS 208810 1% 100% 19 Search DISTINGUISHED+REPRESENTATIONS Search DISTINGUISHED+REPRESENTATIONS
2 AUTOMORPHIC REPRESENTATIONS 206319 1% 57% 33 Search AUTOMORPHIC+REPRESENTATIONS Search AUTOMORPHIC+REPRESENTATIONS
3 ORBITAL INTEGRALS 179494 1% 78% 21 Search ORBITAL+INTEGRALS Search ORBITAL+INTEGRALS
4 P ADIC GROUPS 171071 1% 65% 24 Search P+ADIC+GROUPS Search P+ADIC+GROUPS
5 SUPERCUSPIDAL REPRESENTATIONS 144361 1% 77% 17 Search SUPERCUSPIDAL+REPRESENTATIONS Search SUPERCUSPIDAL+REPRESENTATIONS
6 METAPLECTIC GROUPS 143601 1% 93% 14 Search METAPLECTIC+GROUPS Search METAPLECTIC+GROUPS
7 THETA CORRESPONDENCE 136941 1% 69% 18 Search THETA+CORRESPONDENCE Search THETA+CORRESPONDENCE
8 RELATIVE TRACE FORMULA 123817 0% 87% 13 Search RELATIVE+TRACE+FORMULA Search RELATIVE+TRACE+FORMULA
9 JACQUET MODULE 121734 0% 92% 12 Search JACQUET+MODULE Search JACQUET+MODULE
10 LOCAL THETA CORRESPONDENCE 121734 0% 92% 12 Search LOCAL+THETA+CORRESPONDENCE Search LOCAL+THETA+CORRESPONDENCE

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 FEIGON, B , LAPID, E , OFFEN, O , (2012) ON REPRESENTATIONS DISTINGUISHED BY UNITARY GROUPS.PUBLICATIONS MATHEMATIQUES DE L IHES. VOL. . ISSUE 115. P. 185 -323 65 97% 4
2 GAN, WT , ICHINO, A , (2014) FORMAL DEGREES AND LOCAL THETA CORRESPONDENCE.INVENTIONES MATHEMATICAE. VOL. 195. ISSUE 3. P. 509-672 55 100% 11
3 LAPID, E , MAO, ZY , (2017) WHITTAKER-FOURIER COEFFICIENTS OF CUSP FORMS ON <(SP(N))OVER TILDE>: REDUCTION TO A LOCAL STATEMENT.AMERICAN JOURNAL OF MATHEMATICS. VOL. 139. ISSUE 1. P. 1 -55 36 82% 1
4 MOK, CP , (2015) ENDOSCOPIC CLASSIFICATION OF REPRESENTATIONS OF QUASI-SPLIT UNITARY GROUPS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 235. ISSUE 1108. P. 1 -+ 43 100% 9
5 KAPLAN, E , (2016) REPRESENTATIONS DISTINGUISHED BY PAIRS OF EXCEPTIONAL REPRESENTATIONS AND A CONJECTURE OF SAVIN.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 2. P. 604 -643 46 98% 0
6 GAN, WT , ICHINO, A , (2016) THE GROSS-PRASAD CONJECTURE AND LOCAL THETA CORRESPONDENCE.INVENTIONES MATHEMATICAE. VOL. 206. ISSUE 3. P. 705 -799 40 100% 1
7 KAPLAN, E , (2016) THETA DISTINGUISHED REPRESENTATIONS, INFLATION AND THE SYMMETRIC SQUARE L-FUNCTION.MATHEMATISCHE ZEITSCHRIFT. VOL. 283. ISSUE 3-4. P. 909 -936 42 95% 0
8 LAPID, E , MINGUEZ, A , (2016) ON PARABOLIC INDUCTION ON INNER FORMS OF THE GENERAL LINEAR GROUP OVER A NON-ARCHIMEDEAN LOCAL FIELD.SELECTA MATHEMATICA-NEW SERIES. VOL. 22. ISSUE 4. P. 2347 -2400 40 93% 0
9 BERGERON, N , MILLSON, J , MOEGLIN, C , (2016) THE HODGE CONJECTURE AND ARITHMETIC QUOTIENTS OF COMPLEX BALLS.ACTA MATHEMATICA. VOL. 216. ISSUE 1. P. 1 -125 35 97% 1
10 LAPID, E , MAO, ZY , (2015) A CONJECTURE ON WHITTAKER-FOURIER COEFFICIENTS OF CUSP FORMS.JOURNAL OF NUMBER THEORY. VOL. 146. ISSUE . P. 448 -505 45 75% 5

Classes with closest relation at Level 1


Rank Class id link
1 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
2 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
3 18343 CHARACTER SHEAVES//SPRINGER CORRESPONDENCE//GEOMETRIC LANGLANDS PROGRAM
4 7742 SIEGEL MODULAR FORMS//JACOBI FORMS//ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
5 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
6 28720 WEIL REPRESENTATION//GLOBALLY IRREDUCIBLE REPRESENTATIONS//ANZAHL THEOREM
7 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
8 12786 SPRINGER FIBERS//NILPOTENT ORBITS//FINITE W ALGEBRAS
9 4818 PHI GAMMA MODULES//CRYSTALLINE COHOMOLOGY//P ADIC HODGE THEORY
10 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION

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