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math.NT2009
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…
math.NT2009★ 14 cited
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 $…