20 citations · 152 across the 37 of their papers we have counts for
43 papers
Counting -tuples of positive integers such that the values of several polynomials of variables are relatively prime
László Tóth
Let be a system of nonconstant polynomials of variables with integer coefficients and let \[ {\gcd}_F(x_1,\ldots,x_k)= \gc…
On the asymptotic density of the ordered pairs of positive integers such that
Steve Fan, László Tóth
Consider the arithmetic function of two variables , investigated in a recent preprint. We deduce asymptotic formulas for sums of the form $\sum_{a,b…
Additive arithmetic functions meet the inclusion-exclusion principle, II
Olivier Bordellès, László Tóth
We unify in a large class of additive functions the results obtained in the first part of this work. The proof rests on series involving the Riemann zeta function and certain sums…
On the Density of Spoof Odd Perfect Numbers
László Tóth
We study the set of odd positive integers with the property , for positive integer , i.e., the set that relates to odd perfect and odd "…
A full characterization of invariant embeddability of unimodular planar graphs
Ádám Timár, László Márton Tóth
When can a unimodular random planar graph be drawn in the Euclidean or the hyperbolic plane in a way that the distribution of the random drawing is isometry-invariant? This questio…
On certain sums of arithmetic functions involving the gcd and lcm of two positive integers
Randell Heyman, László Tóth
We obtain asymptotic formulas with remainder terms for the hyperbolic summations and , where belongs to certain classes of ar…