Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Zheng Qi Yang"'
Publikováno v:
The Ramanujan Journal (2025)
In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence results given previously by Treneer. We give infinite families of congruences modulo $m$ for $m = 5, 7, 11$, and finite fam
Externí odkaz:
http://arxiv.org/abs/2309.01792
Autor:
Zheng, Qi-Yang
The primary focus of this paper is overpartitions, a type of partition that plays a significant role in $q$-series theory. In 2006, Treneer discovered an explicit infinite family of congruences of overpartitions modulo $5$. In our research, we have i
Externí odkaz:
http://arxiv.org/abs/2309.00302
Autor:
Zheng, Qi-Yang
The main result of the paper is the Fibonacci-like property of the partition function. The partition function $p(n)$ has a property: $p(n) \leq p(n-1) + p(n-2)$. Our result shows that if we impose certain restrictions on the partition, then the inequ
Externí odkaz:
http://arxiv.org/abs/2308.06289
Autor:
Zheng, Qi-Yang
The main result of the paper is the existence of an infinitely many families of Ramanujan-type congruences for $b_4(n)$ and $b_6(n)$ modulo primes $m \geq 2$ and $m \geq 5$, respectively. We provide new examples of congruences for $b_4(n)$ and $b_6(n
Externí odkaz:
http://arxiv.org/abs/2308.04752
Autor:
Zheng, Qi-Yang
We prove that $d_k(n)=d_k(n+B)$ infinitely often for any positive integers $k$ and $B$, where $d_k(n)$ denotes the number of divisors of $n$ coprime to $k$.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2210.08447
Autor:
Zheng, Qi-Yang
We prove that there exist infinitely many (-1,1)-Carmichael numbers, that is, square-free, composite integers n such that p+1 divides n-1 for each prime p dividing n.
Comment: v1: This paper give new results about numbers which satisfy some cond
Comment: v1: This paper give new results about numbers which satisfy some cond
Externí odkaz:
http://arxiv.org/abs/2207.08641
Autor:
Zheng, Qi-Yang
In this paper we study $b_5(n)$, the $5$-regular partitions of $n$. Using the theory of modular forms, we prove several theorems on the divisibility and distribution properties of $b_5(n)$ modulo prime $m\geq5$. In particular, we prove that there are
Externí odkaz:
http://arxiv.org/abs/2206.03696
Autor:
Zheng, Qi-Yang
In this paper we study the function $b_3(n)$ and $b_5(n)$, which denote the number of $3$-regular partitions and $5$-regular partitions of $n$ respectively. Using the theory of modular forms, we prove several arithmetic properties of $b_3(n)$ and $b_
Externí odkaz:
http://arxiv.org/abs/2205.03191
Publikováno v:
Journal of Camel Practice and Research. 28:211-218
Camel meat is a kind of lean meat with a high animal protein content, which has a lower fat and cholesterol content than other animal meat. Using camel meat as raw material, we determined the optimal processing craft of the camel meat burger, followe