EUDML

We establish q-analogs for four congruences involving central binomial coefficients. The q-identities necessary for this purpose are shown via the q-WZ method.

On fixed points of holomorphic maps of simply connected proper domains in $C$

Roberto Tauraso — 1994

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

A criterion for the existence of fixed point of one-dimensional holomorphic maps is established.

On fixed points of $C^{1}$ extensions of expanding maps in the unit disc

Roberto Tauraso — 1994

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Using a result due to M. Shub, a theorem about the existence of fixed points inside the unit disc for $C^{1}$ extensions of expanding maps defined on the boundary is established. An application to a special class of rational maps on the Riemann sphere and some considerations on ergodic properties of these maps are also made.

Supercongruences for the Almkvist-Zudilin numbers

Tewodros Amdeberhan; Roberto Tauraso — 2016

Acta Arithmetica

We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist-Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.

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A common fixed point theorem for commuting expanding maps on nilmanifolds.

The dinner table problem: the rectangular case.

Congruences involving alternating multiple harmonic sums.

Edge cover time for regular graphs.

A new domino tiling sequence.

Congruences of multiple sums involving sequences invariant under the binomial transform.

Some q-analogs of congruences for central binomial sums

On fixed points of holomorphic maps of simply connected proper domains in $C$

On fixed points of $C^{1}$ extensions of expanding maps in the unit disc

Supercongruences for the Almkvist-Zudilin numbers