دورية أكاديمية
Congruences modulo $4$ for the number of $3$-regular partitions
العنوان: | Congruences modulo $4$ for the number of $3$-regular partitions |
---|---|
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 |
تدمد: | 17783569 |
---|---|
DOI: | 10.5802/crmath.512 |