Adrian W. Dudek

activity

20142026

most citedPrimes in explicit short intervals on RH

7 citations · 21 across the 19 of their papers we have counts for

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math.CO2015

Gaps Between Almost-Primes and a Construction of Almost-Ramanujan Graphs

Adrian Dudek

For all $k \geq 3$ , we show how one can explicitly construct an infinite family of $k$ -regular graphs all of which have second largest eigenvalue satisfying the bound $O (k^{1/2})$ .…

math.CO2014

On the Spectrum of the Generalised Petersen Graphs

Adrian Dudek

We show that the gap between the two greatest eigenvalues of the generalised Petersen graphs $P (n, k)$ tends to zero as $n \to \infty$ . Moreover, we provide explicit upper b…