## Preprints and publications

The provided links sometimes lead to different versions. In this case the link to the strongest version, or closest to the final form of the paper, is in

**green**.

10.(with S. Y. Xiao) Density of power-free values of polynomials,

*Submitted*,

Arxiv
9*. Addendum to 9.,

*Monatsh. Math.* 186(4) (2018), 675-678,

Open Access , 9+9*:

Arxiv,
pdf
9. Explicit upper bound for the average number of divisors of irreducible quadratic polynomials,

*Monatsh. Math.* 186(4) (2018), 663-673,

Open Access
8. On the average number of divisors of reducible quadratic polynomials,

*J. Number Theory* 180 (2017), 710–729,

Arxiv,
pdf
7. Explicit upper bound for an average number of divisors of
quadratic polynomials,

*Arch. Math. (Basel)*, 106 (2016), no.3, 247-256,

Arxiv,
pdf, Code
6. On the k-free values of the polynomial xy^k+C,

*Acta Math. Hungar.*, 149 (1) (2016), 190-207,

Arxiv,

pdf
5. (with A. Biro), The class number one problem for the real quadratic fields
Q(\sqrt{(an)^2+4a}),

*Acta Arith.* 172 (2016), no.2, 117-131,

Arxiv,

pdf
4. Effective lower bound for the class number of a certain family of real
quadratic fields,

*J. Number Theory* 132 (2012), no.12, 2736-2747,

pdf,

Addendum
3. Divisibility of class numbers of imaginary quadratic fields whose
discriminant has only three prime factors,

*Acta Math. Hungar.* 137 (1-2) (2012), 36-63,

pdf
2. Class number one problem for real quadratic fields of certain type,

*Acta
Arith. *153 (2012), no.3, 281-298,

pdf
1. (with D. Tolev), Lagrange's equation with almost prime variables lying in a short
interval,

*C. R. Acad. Bulgare Sci.* 60 (2007), no.7, 715-718,

pdf

PhD thesis, 2012:

pdf
MSc thesis, 2007 (in Bulgarian):

pdf