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- Attila Bérczes, I. Pink
- 2008

Abstract.Let 2 ≤ p < 100 be a rational prime and consider equation (3) in the title in integer unknowns x, y, n, k with x > 0, y > 1, n ≥ 3 prime, k ≥ 0 and gcd(x, y) = 1. Under the above conditions… (More)

- Attila Bérczes, J. Ködmön, Attila Pethö
- Periodica Mathematica Hungarica
- 2004

In this paper we present a new one-way function with collision resistance. The security of this function is based on the difficulty of solving a norm form equation. We prove that this function is… (More)

In the present paper we solve the equation NK=Q(x0 + x1 + x2 2 + + xn 1 n 1 ) = 1 in x0; : : : ; xn 1 2 Z, such that

- Attila Bérczes, Lajos Hajdu
- Math. Comput.
- 1997

In this paper we deal with a problem of Turan concerning the 'distance' of polynomials to irreducible polynomials. Using computational methods we prove that for any monic polynomial P ∈ Z[x] of… (More)

- Attila Bérczes, J. Ködmön
- 2003

- Attila Bérczes, I. Pink
- 2012

We give an explicit upper bound for the number of equivalence classes of binary forms with rational integral coefficients of given degree and given discriminant, and with given splitting field.… (More)

We prove a new effective result for equations a1x1+a2x2 = 1 in (x1, x2) ∈ Γ, where a1, a2 are non-zero algebraic numbers and Γ is a finitely generated multiplicative subgroup of (Q)2. In our result,… (More)