Ha Ying

collaborators

3 papers

math.CO2022

$p$ -numerical semigroups with $p$ -symmetric properties

Takao Komatsu, Haotian Ying

The so-called Frobenius number in the famous linear Diophantine problem of Frobenius is the largest integer such that the linear equation $a_{1} x_{1} + \dots + a_{k} x_{k} = n$ ($a_1,\dots,a_k…

math.NT2022

The $p$ -numerical semigroup of the triple of arithmetic progressions

Takao Komatsu, Haotian Ying

For given positive integers $a_{1}, a_{2}, \dots, a_{k}$ with $g cd (a_{1}, a_{2}, \dots, a_{k}) = 1$ , the denumerant $d (n) = d (n; a_{1}, a_{2}, \dots, a_{k})$ is the number of nonnegative solutions $(x_1,x_2,\dot…

math.CO2022

The $p$ -Frobenius and $p$ -Sylvester numbers for Fibonacci and Lucas triplets

Takao Komatsu, Haotian Ying

In this paper we study a certain kind of generalized linear Diophantine problem of Frobenius. Let $a_{1}, a_{2}, \dots, a_{l}$ be positive integers such that their greatest common divisor i…

p-numerical semigroups with p-symmetric properties

The p-numerical semigroup of the triple of arithmetic progressions

The p-Frobenius and p-Sylvester numbers for Fibonacci and Lucas triplets

$p$ -numerical semigroups with $p$ -symmetric properties

The $p$ -numerical semigroup of the triple of arithmetic progressions

The $p$ -Frobenius and $p$ -Sylvester numbers for Fibonacci and Lucas triplets