32 citations · 177 across the 24 of their papers we have counts for
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math.NT2012★ 4 cited
On the Mertens Conjecture for Function Fields
Peter Humphries
We study an analogue of the Mertens conjecture in the setting of global function fields. Building on the work of Cha, we show that most hyperelliptic curves do not satisfy the Mert…
math.NT2012★ 1 cited
On the Mertens Conjecture for Elliptic Curves over Finite Fields
Peter Humphries
We introduce an analogue of the Mertens conjecture for elliptic curves over finite fields. Using a result of Waterhouse, we classify the isogeny classes of elliptic curves for whic…