Geodesic
Some new congruences for simultaneously $s$-regular and $t$-distinct partition function
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2024), pp. 18-21 Cet article a éte moissonné depuis la source Math-Net.Ru

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A partition of a positive integer $n$ is said to be simultaneously $s$-regular and $t$-distinct partition if none of the parts is divisible by $s$ and parts appear fewer than $t$ times. In this paper, we present some new congruences for simultaneously $s$-regular and $t$-distinct partition function denoted by $ M_{s,t}^d (n)$ with $(s,t) \in \{(2,5),(3,4), (4,9), (5\alpha,5\beta),(7\alpha,7\beta),(p,p)\}$, where $\alpha$ and $\beta$ are any positive integers and $p$ is any prime.
Keywords: $s$-regular and $t$-distinct partition, congruence, $q$-series identities. 
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     author = {P. Buragohain and N. Saikia},
     title = {Some new congruences for simultaneously $s$-regular and $t$-distinct partition function},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {18--21},
     year = {2024},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2024_10_a1/}
}
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P. Buragohain; N. Saikia. Some new congruences for simultaneously $s$-regular and $t$-distinct partition function. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2024), pp. 18-21. http://geodesic.mathdoc.fr/item/IVM_2024_10_a1/

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