HUN-REN Alfréd Rényi Institute of Mathematics

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19942026

most citedBrownian distance covariance

857 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.NT2015

Explicit upper bound for an average number of divisors of quadratic polynomials

Kostadinka Lapkova

Consider the divisor sum $\sum_{n \leq N} τ (n^{2} + 2 bn + c)$ for integers $b$ and $c$ which satisfy certain extra conditions. For this average sum we obtain an explicit upper bound, which…

math.NT2015★ 4 cited

A low-energy decomposition theorem

Antal Balog, Trevor D. Wooley

We prove that any finite set of real numbers can be split into two parts, one part being highly non-additive and the other highly non-multiplicative.

math.NT2015

On the $k$ -free values of the polynomial $x y^{k} + C$

Kostadinka Lapkova

Consider the polynomial $f (x, y) = x y^{k} + C$ for $k \geq 2$ and any nonzero integer constant $C$ . We derive an asymptotic formula for the $k$ -free values of $f (x, y)$ when $x, y \leq H$ . W…

Explicit upper bound for an average number of divisors of quadratic polynomials

A low-energy decomposition theorem

On the k-free values of the polynomial xyk+C

On the $k$ -free values of the polynomial $x y^{k} + C$