L. Tóth

activity

20062026

most citedThe discrete Fourier transform of

r

-even functions

20 citations · 152 across the 37 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.NT2026

Counting $k$ -tuples of positive integers such that the values of several polynomials of $k$ variables are relatively prime

László Tóth

Let $F = (f_{1} (x_{1}, \dots, x_{k}), \dots, f_{m} (x_{1}, \dots, x_{k}))$ be a system of nonconstant polynomials of $k$ variables with integer coefficients and let \[ {\gcd}_F(x_1,\ldots,x_k)= \gc…

math.NT2026

On the asymptotic density of the ordered pairs $(a, b)$ of positive integers such that $g cd (ab, a + b) = g cd (a, b)$

Steve Fan, László Tóth

Consider the arithmetic function of two variables $f (a, b) = g cd (ab, a + b) / g cd (a, b)$ , investigated in a recent preprint. We deduce asymptotic formulas for sums of the form $\sum_{a,b…

Counting k-tuples of positive integers such that the values of several polynomials of k variables are relatively prime

On the asymptotic density of the ordered pairs (a,b) of positive integers such that gcd(ab,a+b)=gcd(a,b)

Counting $k$ -tuples of positive integers such that the values of several polynomials of $k$ variables are relatively prime

On the asymptotic density of the ordered pairs $(a, b)$ of positive integers such that $g cd (ab, a + b) = g cd (a, b)$