F. D. de Vega

most citedA complete solution of the partition of a number into arithmetic progressions

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math.NT2020★ 2 cited

A complete solution of the partition of a number into arithmetic progressions

F. Javier de Vega

We solve the enumeration of the set $AP (n)$ of partitions of a positive integer $n$ in which the nondecreasing sequence of parts forms an arithmetic progression. In partic…

math.NT2020★ 1 cited

An extension of Furstenberg's theorem of the infinitude of primes

F. Javier de Vega

The usual product $m \cdot n$ on $Z$ can be viewed as the sum of $n$ terms of an arithmetic progression whose first term is $a_{1} = m - n + 1$ and whose difference is $d = 2$ . Gen…