Levent Alpöge

most citedThe average number of integral points on elliptic curves is bounded

7 citations · 7 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2014

Square-root cancellation for the signs of Latin squares

Levent Alpoge

Let $L (n)$ be the number of Latin squares of order $n$ , and let $L^{even} (n)$ and $L^{odd} (n)$ be the number of even and odd such squares, so that $L(n) = L^{\tex…

math.NT2014★ 7 cited

The average number of integral points on elliptic curves is bounded

Levent Alpoge

We prove that, when elliptic curves $E / Q$ are ordered by height, the average number of integral points $#∣ E (Z) ∣$ is bounded, and in fact is less than $66$ (and a…