Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 205 | 52461 | 17.5 | 36% |
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 |
| 376 | 2 | JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA | 17147 |
| 1098 | 2 | HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS | 9817 |
| 1206 | 2 | ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS | 9179 |
| 1797 | 2 | MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS | 6311 |
| 1909 | 2 | MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS | 5891 |
| 3165 | 2 | SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE | 2181 |
| 3266 | 2 | MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS | 1935 |
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 | MATHEMATICS | WoSSC | 2235001 | 88% | 9% | 46049 |
| 2 | JOURNAL OF NUMBER THEORY | journal | 1501324 | 7% | 74% | 3485 |
| 3 | ACTA ARITHMETICA | journal | 1236640 | 5% | 82% | 2617 |
| 4 | MATH | address | 557162 | 39% | 5% | 20260 |
| 5 | INTERNATIONAL JOURNAL OF NUMBER THEORY | journal | 401613 | 2% | 79% | 881 |
| 6 | RAMANUJAN JOURNAL | journal | 224458 | 1% | 61% | 632 |
| 7 | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | journal | 211832 | 2% | 32% | 1150 |
| 8 | MODULAR FORMS | authKW | 206509 | 1% | 82% | 437 |
| 9 | ELLIPTIC CURVES | authKW | 198514 | 1% | 53% | 649 |
| 10 | COMPOSITIO MATHEMATICA | journal | 195999 | 2% | 37% | 911 |
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 | 2235001 | 88% | 9% | 46049 |
| 2 | Mathematics, Applied | 85803 | 17% | 2% | 8922 |
| 3 | Physics, Mathematical | 3477 | 3% | 1% | 1564 |
| 4 | Computer Science, Theory & Methods | 2922 | 3% | 1% | 1441 |
| 5 | Logic | 487 | 0% | 1% | 136 |
| 6 | Statistics & Probability | 282 | 1% | 0% | 594 |
| 7 | Multidisciplinary Sciences | 46 | 0% | 0% | 228 |
| 8 | Mathematics, Interdisciplinary Applications | 0 | 1% | 0% | 268 |
| 9 | COMPUTER APPLICATIONS & CYBERNETICS | -0 | 0% | 0% | 4 |
| 10 | Literature, African, Australian, Canadian | -5 | 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 | 557162 | 39% | 5% | 20260 |
| 2 | MATH SCI | 35084 | 4% | 3% | 2344 |
| 3 | COMP ALGEBRA | 31963 | 0% | 84% | 66 |
| 4 | NUMBER THEORY GRP | 31661 | 0% | 85% | 64 |
| 5 | MATH JUSSIEU | 29613 | 0% | 22% | 239 |
| 6 | MATH STAT | 25805 | 4% | 3% | 1857 |
| 7 | MATH LUMINY | 22846 | 0% | 37% | 107 |
| 8 | UMR 6206 | 19819 | 0% | 48% | 71 |
| 9 | UFR MATH | 18180 | 0% | 15% | 215 |
| 10 | PURE MATH | 17864 | 1% | 11% | 300 |
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 | JOURNAL OF NUMBER THEORY | 1501324 | 7% | 74% | 3485 |
| 2 | ACTA ARITHMETICA | 1236640 | 5% | 82% | 2617 |
| 3 | INTERNATIONAL JOURNAL OF NUMBER THEORY | 401613 | 2% | 79% | 881 |
| 4 | RAMANUJAN JOURNAL | 224458 | 1% | 61% | 632 |
| 5 | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 211832 | 2% | 32% | 1150 |
| 6 | COMPOSITIO MATHEMATICA | 195999 | 2% | 37% | 911 |
| 7 | MATHEMATICS OF COMPUTATION | 115957 | 2% | 23% | 895 |
| 8 | INVENTIONES MATHEMATICAE | 108117 | 1% | 25% | 767 |
| 9 | ERGODIC THEORY AND DYNAMICAL SYSTEMS | 106016 | 1% | 28% | 665 |
| 10 | PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 104686 | 1% | 28% | 640 |
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 | MODULAR FORMS | 206509 | 1% | 82% | 437 | Search MODULAR+FORMS | Search MODULAR+FORMS |
| 2 | ELLIPTIC CURVES | 198514 | 1% | 53% | 649 | Search ELLIPTIC+CURVES | Search ELLIPTIC+CURVES |
| 3 | L FUNCTIONS | 139974 | 1% | 77% | 312 | Search L+FUNCTIONS | Search L+FUNCTIONS |
| 4 | GALOIS REPRESENTATIONS | 130249 | 0% | 95% | 236 | Search GALOIS+REPRESENTATIONS | Search GALOIS+REPRESENTATIONS |
| 5 | DIOPHANTINE EQUATIONS | 112791 | 1% | 65% | 300 | Search DIOPHANTINE+EQUATIONS | Search DIOPHANTINE+EQUATIONS |
| 6 | CLASS NUMBER | 110657 | 0% | 88% | 218 | Search CLASS+NUMBER | Search CLASS+NUMBER |
| 7 | HAUSDORFF DIMENSION | 97505 | 1% | 40% | 427 | Search HAUSDORFF+DIMENSION | Search HAUSDORFF+DIMENSION |
| 8 | EXPONENTIAL SUMS | 87349 | 1% | 53% | 284 | Search EXPONENTIAL+SUMS | Search EXPONENTIAL+SUMS |
| 9 | EISENSTEIN SERIES | 85392 | 0% | 74% | 198 | Search EISENSTEIN+SERIES | Search EISENSTEIN+SERIES |
| 10 | DIOPHANTINE APPROXIMATION | 76729 | 0% | 68% | 195 | Search DIOPHANTINE+APPROXIMATION | Search DIOPHANTINE+APPROXIMATION |
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 | SHPARLINSKI, IE , (2012) MODULAR HYPERBOLAS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 7. ISSUE 2. P. 235 -294 | 124 | 89% | 11 |
| 2 | AUEL, A , BRUSSEL, E , GARIBALDI, S , VISHNE, U , (2011) OPEN PROBLEMS ON CENTRAL SIMPLE ALGEBRAS.TRANSFORMATION GROUPS. VOL. 16. ISSUE 1. P. 219 -264 | 107 | 92% | 8 |
| 3 | BARAT, G , BERTHE, V , LIARDET, P , THUSWALDNER, J , (2006) DYNAMICAL DIRECTIONS IN NUMERATION.ANNALES DE L INSTITUT FOURIER. VOL. 56. ISSUE 7. P. 1987 -2092 | 116 | 86% | 19 |
| 4 | 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 | 44 | 100% | 1 |
| 5 | GAO, W , GEROLDINGER, A , (2006) ZERO-SUM PROBLEMS IN FINITE ABELIAN GROUPS: A SURVEY.EXPOSITIONES MATHEMATICAE. VOL. 24. ISSUE 4. P. 337 -369 | 82 | 98% | 69 |
| 6 | GLEN, A , JUSTIN, J , (2009) EPISTURMIAN WORDS: A SURVEY.RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS. VOL. 43. ISSUE 3. P. 403 -442 | 78 | 95% | 19 |
| 7 | SHOREY, TN , (2006) DIOPHANTINE APPROXIMATIONS, DIOPHANTINE EQUATIONS, TRANSCENDENCE AND APPLICATIONS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 37. ISSUE 1. P. 9 -39 | 82 | 100% | 3 |
| 8 | SHKREDOV, ID , (2015) STRUCTURE THEOREMS IN ADDITIVE COMBINATORICS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 70. ISSUE 1. P. 113 -163 | 73 | 89% | 0 |
| 9 | SHKREDOV, ID , (2010) FOURIER ANALYSIS IN COMBINATORIAL NUMBER THEORY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 65. ISSUE 3. P. 513 -567 | 76 | 95% | 0 |
| 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 | 59 | 98% | 5 |
Classes with closest relation at Level 3 |