M. Huxley

activity

20062018

most citedSubconvexity for the Riemann zeta-function and the divisor problem

8 citations · 8 across the 4 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018

Mertens Sums requiring Fewer Values of the Möbius function

M. N. Huxley, N. Watt

We discuss certain identities involving $μ (n)$ and $M (x) = \sum_{n \leq x} μ (n)$ , the functions of Möbius and Mertens. These identities allow calculation of $M (N^{d})$ , for $d=2,3,4,\ldo…

math.NT2018

Some Properties and Applications of Non-trivial Divisor Functions

S. L. Hill, M. N. Huxley, M. C. Lettington +1

The $j$ th divisor function $d_{j}$ , which counts the ordered factorisations of a positive integer into $j$ positive integer factors, is a very well-known arithmetic function; in part…