16 citations · 88 across the 64 of their papers we have counts for
5 papers · 1 filter
The aliquot constant
Wieb Bosma, Ben Kane
The average value of log s(n)/n taken over the first N even integers is shown to converge to a constant lambda when N tends to infinity; moreover, the value of this constant is app…
Equidistribution of Heegner Points and Ternary Quadratic Forms
Dimitar Jetchev, Ben Kane
We prove new equidistribution results for Galois orbits of Heegner points with respect to reduction maps at inert primes. The arguments are based on two different techniques: primi…
The triangular theorem of eight and representation by quadratic polynomials
Wieb Bosma, Ben Kane
We investigate here the representability of integers as sums of triangular numbers, where the -th triangular number is given by . In particular, we show that $…
CM liftings of Supersingular Elliptic Curves
Ben Kane
Assuming GRH, we present an algorithm which inputs a prime and outputs the set of fundamental discriminants such that the reduction map modulo a prime above from elli…
Representing Sets with Sums of Triangular Numbers
Ben Kane
We investigate here sums of triangular numbers where is the -th triangular number. We show that for a set of positive integers there is a fi…