K. Lapkova

activity

20152020

most citedDensity of power-free values of polynomials

6 citations · 7 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NT2017

On the average number of divisors of reducible quadratic polynomials

Kostadinka Lapkova

We give an asymptotic formula for the divisor sum $\sum_{c < n \leq N} τ ((n - b) (n - c))$ for integers $b < c$ of the same parity. Interestingly, the coefficient of the main term…

math.NT2017

Explicit upper bound for the average number of divisors of irreducible quadratic polynomials

Kostadinka Lapkova

Consider the divisor sum $\sum_{n \leq N} τ (n^{2} + 2 bn + c)$ for integers $b$ and $c$ . We extract an asymptotic formula for the average divisor sum in a convenient form, and provide an ex…