Class information for:
Level 3: JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//INTERNATIONAL JOURNAL OF NUMBER THEORY

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
238 43607 17.2 34%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 4)



ID, lev.
above
Publications Label for level above
11 991155 MATHEMATICS//MATHEMATICS, APPLIED//MATH

Classes in level below (level 2)



ID, lev.
below
Publications Label for level below
402 16115 JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA//IWASAWA THEORY
1366 7763 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//CIRCLE METHOD
1536 6864 RAMANUJAN JOURNAL//Q SERIES//BASIC HYPERGEOMETRIC SERIES
1671 6286 DUNKL TRANSFORM//DUNKL OPERATORS//BRANCHING LAW
2595 3146 SIEGEL MODULAR FORMS//MATEMAT FUNDAMENTALES//REGULAR MAP
2914 2267 MATH INVEST CRYSTALLOG MINERAL PETROG//DIHEDRAL F TILINGS//PLATINUM GRP ELEMENTS ORE GENESIS
3401 1166 MAHLER MEASURE//HILBERTS TENTH PROBLEM//INTEGER TRANSFINITE DIAMETER

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 JOURNAL OF NUMBER THEORY Journal 3765 71% 7% 3033
2 ACTA ARITHMETICA Journal 2748 71% 5% 2211
3 INTERNATIONAL JOURNAL OF NUMBER THEORY Journal 1099 78% 2% 732
4 RAMANUJAN JOURNAL Journal 749 70% 1% 619
5 COMPOSITIO MATHEMATICA Journal 407 37% 2% 872
6 MODULAR FORMS Author keyword 398 76% 1% 282
7 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK Journal 392 31% 2% 1067
8 RIEMANN ZETA FUNCTION Author keyword 367 66% 1% 340
9 GALOIS REPRESENTATIONS Author keyword 349 92% 0% 138
10 CLASS NUMBER Author keyword 318 86% 0% 161

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 MODULAR FORMS 398 76% 1% 282 Search MODULAR+FORMS Search MODULAR+FORMS
2 RIEMANN ZETA FUNCTION 367 66% 1% 340 Search RIEMANN+ZETA+FUNCTION Search RIEMANN+ZETA+FUNCTION
3 GALOIS REPRESENTATIONS 349 92% 0% 138 Search GALOIS+REPRESENTATIONS Search GALOIS+REPRESENTATIONS
4 CLASS NUMBER 318 86% 0% 161 Search CLASS+NUMBER Search CLASS+NUMBER
5 EISENSTEIN SERIES 311 80% 0% 193 Search EISENSTEIN+SERIES Search EISENSTEIN+SERIES
6 IWASAWA THEORY 302 94% 0% 108 Search IWASAWA+THEORY Search IWASAWA+THEORY
7 L FUNCTIONS 280 81% 0% 168 Search L+FUNCTIONS Search L+FUNCTIONS
8 CONGRUENCES 217 72% 0% 172 Search CONGRUENCES Search CONGRUENCES
9 HURWITZ ZETA FUNCTION 216 80% 0% 135 Search HURWITZ+ZETA+FUNCTION Search HURWITZ+ZETA+FUNCTION
10 SIEGEL MODULAR FORMS 214 90% 0% 92 Search SIEGEL+MODULAR+FORMS Search SIEGEL+MODULAR+FORMS

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 MODULAR FORMS 1059 80% 2% 660
2 P ADIC GROUPS 728 91% 1% 297
3 NUMBER FIELDS 685 81% 1% 417
4 GALOIS REPRESENTATIONS 540 91% 1% 221
5 ELLIPTIC CURVES 528 57% 1% 626
6 HALF INTEGRAL WEIGHT 511 93% 0% 194
7 CUSP FORMS 490 84% 1% 269
8 AUTOMORPHIC L FUNCTIONS 432 95% 0% 146
9 ABELIAN VARIETIES 397 60% 1% 430
10 L SERIES 349 90% 0% 152

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 JOURNAL OF NUMBER THEORY 3765 71% 7% 3033
2 ACTA ARITHMETICA 2748 71% 5% 2211
3 INTERNATIONAL JOURNAL OF NUMBER THEORY 1099 78% 2% 732
4 RAMANUJAN JOURNAL 749 70% 1% 619
5 COMPOSITIO MATHEMATICA 407 37% 2% 872
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 392 31% 2% 1067
7 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 228 29% 2% 668
8 MATHEMATICS OF COMPUTATION 193 21% 2% 805
9 INVENTIONES MATHEMATICAE 183 23% 2% 696
10 DUKE MATHEMATICAL JOURNAL 158 22% 1% 629

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
The importance of the Selberg integral 2008 52 83 76%
The uncertainty principle: A mathematical survey 1997 230 48 58%
Essays on the theory of elliptic hypergeometric functions 2008 32 68 72%
Partition bijections, a survey 2006 31 38 95%
Computational strategies for the Riemann zeta function 2000 51 33 76%
Irrationality of zeta values 2004 21 33 94%
The p-adic Birch and Swinnerton-Dyer conjecture 2004 17 72 100%
Some Properties and Identities of Bernoulli and Euler Polynomials Associated with p-adic Integral on Z(p) 2012 2 7 100%
Some Identities on the q-Integral Representation of the Product of Several q-Bernstein-Type Polynomials 2011 3 7 100%
Higher-order Bernoulli, Euler and Hermite polynomials 2013 1 9 100%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 GEN EDUC MATH 108 68% 0.2% 95
2 NUMBER THEORY GRP 91 79% 0.1% 59
3 MATEMAT FUNDAMENTALES 57 57% 0.2% 68
4 A2X 51 60% 0.1% 56
5 MATH JUSSIEU 46 20% 0.5% 205
6 CHONGQING HIGHER EDUC MEGA 44 100% 0.0% 16
7 INF 288 44 100% 0.0% 16
8 MATH INVEST CRYSTALLOG MINERAL PETROG 41 100% 0.0% 15
9 CICMA 37 81% 0.1% 22
10 RAYMOND BEVERLY SACKLER MATH SCI 36 55% 0.1% 45

Related classes at same level (level 3)



Rank Relatedness score Related classes
1 0.0000003228 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
2 0.0000002939 JOURNAL OF ALGEBRA//COMMUNICATIONS IN ALGEBRA//ALGEBRAS AND REPRESENTATION THEORY
3 0.0000002491 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
4 0.0000002069 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//HAUSDORFF DIMENSION
5 0.0000001654 JOURNAL OF OPERATOR THEORY//C ALGEBRAS//C ALGEBRA
6 0.0000001562 DESIGNS CODES AND CRYPTOGRAPHY//JOURNAL OF COMBINATORIAL DESIGNS//FINITE FIELDS AND THEIR APPLICATIONS
7 0.0000001522 MEROMORPHIC FUNCTIONS//STARLIKE FUNCTIONS//NEVANLINNA THEORY
8 0.0000001235 COMPUTER AIDED GEOMETRIC DESIGN//COMPUTER-AIDED DESIGN//SEMILOCAL CONVERGENCE
9 0.0000001132 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//GABOR FRAME//SHIFT INVARIANT SPACE
10 0.0000001024 CRYPTOGRAPHY//JOURNAL OF CRYPTOLOGY//CRYPTANALYSIS