Class information for:
Level 1: L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
1976 2             RIEMANN ZETA FUNCTION//MULTIPLE ZETA VALUES//ACTA ARITHMETICA 6008
5230 1                   L FUNCTIONS//RANKIN SELBERG L FUNCTION//AUTOMORPHIC L FUNCTIONS 1685

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 L FUNCTIONS authKW 621537 7% 28% 119
2 RANKIN SELBERG L FUNCTION authKW 378714 2% 75% 27
3 AUTOMORPHIC L FUNCTIONS authKW 370285 2% 60% 33
4 RIEMANN ZETA FUNCTION authKW 343617 6% 18% 102
5 SUBCONVEXITY authKW 321503 1% 90% 19
6 SELBERG CLASS authKW 314554 2% 58% 29
7 LOW LYING ZEROS authKW 280539 1% 100% 15
8 SYMMETRIC SQUARE L FUNCTION authKW 274916 1% 70% 21
9 MAASS FORMS authKW 262170 2% 52% 27
10 SYMMETRIC POWER L FUNCTION authKW 233778 1% 83% 15

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 84581 95% 0% 1607
2 Mathematics, Applied 1758 14% 0% 234
3 Physics, Mathematical 78 3% 0% 44
4 COMPUTER APPLICATIONS & CYBERNETICS 5 0% 0% 1
5 Statistics & Probability 0 1% 0% 10
6 Multidisciplinary Sciences -1 0% 0% 3
7 Computer Science, Software Engineering -7 0% 0% 1
8 Thermodynamics -9 0% 0% 1
9 Computer Science, Information Systems -9 0% 0% 1
10 Physics, Nuclear -12 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MODERN MATH 93513 0% 100% 5
2 CHAIRE TAN 37405 0% 100% 2
3 MATH 34239 53% 0% 898
4 D MATH 32229 1% 17% 10
5 RAYMOND BEVERLY SACKLER MATH SCI 19879 1% 11% 10
6 ALGORITHMIQUE ARITHMET 18703 0% 100% 1
7 ANAL THEORY 18703 0% 100% 1
8 AQUIPE ARITHMET GEOMETRIE ALGEBR 18703 0% 100% 1
9 CNRS 5465 18703 0% 100% 1
10 EQUIPE ARITHMET GEOMETRIE ALGEB 18703 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 114985 8% 4% 142
2 JOURNAL OF NUMBER THEORY 112639 10% 4% 171
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 34970 3% 4% 48
4 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 26787 4% 2% 67
5 PROGRESS IN MATHEMATICS 18701 0% 50% 2
6 DUKE MATHEMATICAL JOURNAL 14513 3% 2% 48
7 FORUM MATHEMATICUM 14392 2% 2% 32
8 MATHEMATIKA 14139 2% 3% 26
9 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 11838 2% 2% 38
10 QUARTERLY JOURNAL OF MATHEMATICS 11439 2% 2% 30

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 L FUNCTIONS 621537 7% 28% 119 Search L+FUNCTIONS Search L+FUNCTIONS
2 RANKIN SELBERG L FUNCTION 378714 2% 75% 27 Search RANKIN+SELBERG+L+FUNCTION Search RANKIN+SELBERG+L+FUNCTION
3 AUTOMORPHIC L FUNCTIONS 370285 2% 60% 33 Search AUTOMORPHIC+L+FUNCTIONS Search AUTOMORPHIC+L+FUNCTIONS
4 RIEMANN ZETA FUNCTION 343617 6% 18% 102 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
5 SUBCONVEXITY 321503 1% 90% 19 Search SUBCONVEXITY Search SUBCONVEXITY
6 SELBERG CLASS 314554 2% 58% 29 Search SELBERG+CLASS Search SELBERG+CLASS
7 LOW LYING ZEROS 280539 1% 100% 15 Search LOW+LYING+ZEROS Search LOW+LYING+ZEROS
8 SYMMETRIC SQUARE L FUNCTION 274916 1% 70% 21 Search SYMMETRIC+SQUARE+L+FUNCTION Search SYMMETRIC+SQUARE+L+FUNCTION
9 MAASS FORMS 262170 2% 52% 27 Search MAASS+FORMS Search MAASS+FORMS
10 SYMMETRIC POWER L FUNCTION 233778 1% 83% 15 Search SYMMETRIC+POWER+L+FUNCTION Search SYMMETRIC+POWER+L+FUNCTION

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 29140 JOINT UNIVERSALITY//SPACE OF ANALYTIC FUNCTIONS//PERIODIC HURWITZ ZETA FUNCTION
2 12566 DIRICHLET DIVISOR PROBLEM//DIVISOR PROBLEM//LATTICE POINTS
3 18944 BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS
4 24523 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
5 26349 MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION
6 15971 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
7 1568 DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//P ADIC GROUPS
8 5949 SIEGEL MODULAR FORMS//JACOBI FORMS//MODULAR FORMS
9 24595 DIAGONAL EQUATION//GAUSS SUM//EQUATION IN A FINITE FIELD
10 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS

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