L. Tóth

6 citations · 7 across the 3 of their papers we have counts for

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math.NT2008★ 1 cited

Extremal orders of compositions of certain arithmetical functions

József Sándor, László Tóth

We study the exact extremal orders of compositions $f (g (n))$ of certain arithmetical functions, including the functions $σ (n)$ , $ϕ (n)$ , $σ^{*} (n)$ and $ϕ^{*} (n)$ , representing the sum…

math.NT2007★ 6 cited

Regular integers modulo n

László Tóth

Let $n = p_{1}^{ν_{1}} ... p_{r}^{ν_{r}} > 1$ be an integer. An integer $a$ is called regular (mod $n$ ) if there is an integer $x$ such that $a^{2} x \equiv a$ (mod $n$ ). Let $ϱ (n)$ denote t…

math.NT2007

An order result for the exponential divisor function

László Tóth

The integer $d = \prod_{i = 1}^{s} p_{i}^{b_{i}}$ is called an exponential divisor of $n = \prod_{i = 1}^{s} p_{i}^{a_{i}} > 1$ if $b_{i} ∣ a_{i}$ for every $i \in {1, 2, ..., s}$ . Let $τ^{(e)} (n)$ denote…