C. Vinuesa

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math.NT2012

Asymptotics for Magic Squares of Primes

Carlos Vinuesa

Based on the work of Green, Tao and Ziegler, we give asymptotics when $N \to \infty$ for the number of $n \times n$ magic squares with their entries being prime numbers in $[0, N]$ .…

math.NT2009

Generalization of a theorem of Erdos and Renyi on Sidon Sequences

Javier Cilleruelo, Sandor Z. Kiss, Imre Z. Ruzsa +1

Erd\H os and Rényi claimed and Vu proved that for all $h \geq 2$ and for all $ε > 0$ , there exists $g = g_{h} (ε)$ and a sequence of integers $A$ such that the number of ordered represe…

math.NT2009★ 1 cited

Generalized Sidon sets

Javier Cilleruelo, Imre Z. Ruzsa, Carlos Vinuesa

We give asymptotic sharp estimates for the cardinality of a set of residue classes with the property that the representation function is bounded by a prescribed number. We then use…