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pro vyhledávání: '"da Silva, Robson"'
In 2022, Broudy and Lovejoy extensively studied the function $S(n)$ which counts the number of overpartitions of \emph{Schur-type}. In particular, they proved a number of congruences satisfied by $S(n)$ modulo $2$, $4$, and $5$. In this work, we exte
Externí odkaz:
http://arxiv.org/abs/2308.06425
Autor:
da Silva, Robson, Sellers, James A.
Recently, using modular forms and Smoot's {\tt Mathematica} implementation of Radu's algorithm for proving partition congruences, Merca proved the following two congruences: For all $n\geq 0,$ \begin{align*} A(9n+5) & \equiv 0 \pmod{3}, \\ A(27n+26)
Externí odkaz:
http://arxiv.org/abs/2208.11249
Autor:
dos Santos, Maria Eduarda Rodrigues Alves, da Silva, Karollainy Gomes, da Silva Souza, Ana Patrícia, da Silva, Ana Beatriz Januário, da Silva, Robson Feliciano, da Silva, Erica Helena Alves, de Souza, Sandra Lopes, Barros, Waleska Maria Almeida
Publikováno v:
In Clinical Nutrition ESPEN October 2024 63:148-156
Publikováno v:
Discrete Mathematics 345, no. 11 (2022), Article 113021
In 2007, Andrews and Paule published the eleventh paper in their series on MacMahon's partition analysis, with a particular focus on broken $k$-diamond partitions. On the way to broken $k$-diamond partitions, Andrews and Paule introduced the idea of
Externí odkaz:
http://arxiv.org/abs/2112.06328
Autor:
Rodrigues, Raphael, Moreira, Tamires M., Carvalho, Claudio T., Trindade, Magno A.G., Oliveira, Márcio R.S., da Silva, Robson M.
Publikováno v:
In Colloids and Surfaces A: Physicochemical and Engineering Aspects 5 July 2024 692
Autor:
da Silva, Robson, Sellers, James A.
Publikováno v:
Ramanujan Journal 58, no. 3 (2022), 815-834
Recently Gordon and McIntosh introduced the third order mock theta function $\xi(q)$ defined by $$ \xi(q)=1+2\sum_{n=1}^{\infty}\frac{q^{6n^2-6n+1}}{(q;q^6)_{n}(q^5;q^6)_{n}}. $$ Our goal in this paper is to study arithmetic properties of the coeffic
Externí odkaz:
http://arxiv.org/abs/2007.09819
Autor:
da Silva, Robson, Sakai, Pedro Diniz
We present Euler-type recurrence relations for some partition functions. Some of our results provide new recurrences for the number of unrestricted partitions of $n$, denote by $p(n)$. Others establish recurrences for partition functions not yet cons
Externí odkaz:
http://arxiv.org/abs/2007.07641
Autor:
da Silva, Robson, Sellers, James A.
Publikováno v:
Journal of Integer Sequences 23, no. 5 (2020), Article 20.5.7
In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studie
Externí odkaz:
http://arxiv.org/abs/2004.02292