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math.NT2015★ 7 cited
Sums of seven octahedral numbers
Zarathustra Brady
We show that for a large class of cubic polynomials , every sufficiently large number can be written as a sum of seven positive values of . As a special case, we show that ev…
math.NT2015
General divisor function inequalities and the third cumulant
Zarathustra Brady
We extend a lower bound of Munshi on sums over divisors of a number which are less than a fixed power of from the squarefree case to the general case. In the process we pro…