دورية أكاديمية
Congruences modulo $4$ for the number of $3$-regular partitions
| العنوان: | Congruences modulo $4$ for the number of $3$-regular partitions |
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| المؤلفون: | Ballantine, Cristina, Merca, Mircea |
| المصدر: | Comptes Rendus. Mathématique, Vol 361, Iss G9, Pp 1577-1583 (2023) |
| بيانات النشر: | Académie des sciences, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | partitions, regular partitions, congruences, Mathematics, QA1-939 |
| الوصف: | The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-regular partitions of $n$. Notably absent are congruences modulo $4$ for $b_3(n)$. In this paper, we introduce Ramanujan type congruences modulo $4$ for $b_3(2n)$ involving some primes $p$ congruent to $ 11, 13, 17, 19, 23$ modulo $24$. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English French |
| تدمد: | 1778-3569 |
| Relation: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.512/; https://doaj.org/toc/1778-3569 |
| DOI: | 10.5802/crmath.512 |
| URL الوصول: | https://doaj.org/article/afe215634f004e48888c3599e152f05e |
| رقم الأكسشن: | edsdoj.fe215634f004e48888c3599e152f05e |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 17783569 |
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| DOI: | 10.5802/crmath.512 |