20 citations · 152 across the 37 of their papers we have counts for
5 papers · 2 filters
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…
Transcendental Infinite Products Associated with the Thue-Morse Sequence
László Tóth
Infinite products associated with the Thue-Morse sequence whose value is rational or algebraic irrational have been studied by several authors. In this short note we prove…
Another generalization of Euler's arithmetic function and Menon's identity
László Tóth
We define the -dimensional generalized Euler function as the number of ordered -tuples such that and both…
On the number of -compositions of satisfying certain coprimality conditions
László Tóth
We generalize the asymptotic estimates by Bubboloni, Luca and Spiga (2012) on the number of -compositions of satisfying some coprimality conditions. We substantially refine…
On Schizophrenic Patterns in b-ary Expansions of Some Irrational Numbers
László Tóth
In this paper we study the -ary expansions of the square roots of the function defined by the recurrence with initial value taken at odd positive…