University of Pecs

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20072009

most citedImpact ionization in InSb probed by THz-pump THz-probe spectroscopy

221 citations

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Massachusetts Institute of TechnologyUS2 papers

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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…

math.NT2006★ 2 cited

On a class of arithmetic convolutions involving arbitrary sets of integers

László Tóth

Let $d, n$ be positive integers and $S$ be an arbitrary set of positive integers. We say that $d$ is an $S$ -divisor of $n$ if $d ∣ n$ and gcd $(d, n / d) \in S$ . Consider the $S$ -convolut…

math.NT2006★ 9 cited

The maximal order of a class of multiplicative arithmetical functions

László Tóth, Eduard Wirsing

We prove simple theorems concerning the maximal order of a large class of multiplicative functions. As an application, we determine the maximal orders of certain functions of the t…