S. Ugolini

activity

20112020

most citedGraphs associated with the map

x \mapsto x + x^{- 1}

in finite fields of characteristic five

14 citations · 73 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.NT2013

A graph-based approach to repeating decimals

Simone Ugolini

In this paper we deal with a classical problem in elementary number theory, namely repeating decimals. We show how the digits of the period of the decimal representation of any fra…

math.NT2013★ 2 cited

Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms

Simone Ugolini

In this paper we present and analyse a construction of irreducible polynomials over odd prime fields via the transforms which take any polynomial $f \in F_{p} [x]$ of positiv…

math.DS2013★ 9 cited

On the iterations of certain maps $x \mapsto k \cdot (x + x^{- 1})$ over finite fields of odd characteristic

Simone Ugolini

In this paper we describe the dynamics of certain rational maps of the form $k \cdot (x + x^{- 1})$ over finite fields of odd characteristic.

A graph-based approach to repeating decimals

Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms

On the iterations of certain maps x↦k⋅(x+x−1) over finite fields of odd characteristic

On the iterations of certain maps $x \mapsto k \cdot (x + x^{- 1})$ over finite fields of odd characteristic