Class information for: |
Basic class information |
| ID | Publications | Average number of references |
Avg. shr. active ref. in WoS |
|---|---|---|---|
| 238 | 43607 | 17.2 | 34% |
Classes in level above (level 4) |
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 |