8 citations · 8 across the 2 of their papers we have counts for
4 papers
Mertens Sums requiring Fewer Values of the Möbius function
M. N. Huxley, N. Watt
We discuss certain identities involving and , the functions of Möbius and Mertens. These identities allow calculation of , for $d=2,3,4,\ldo…
Some Properties and Applications of Non-trivial Divisor Functions
S. L. Hill, M. N. Huxley, M. C. Lettington +1
The th divisor function , which counts the ordered factorisations of a positive integer into positive integer factors, is a very well-known arithmetic function; in part…
On the Structure of Additive Systems of Integers
M. N. Huxley, M. C. Lettington, K. M. Schmidt
A sum-and-distance system is a collection of finite sets of integers such that the sums and differences formed by taking one element from each set generate a prescribed arithmetic…
Subconvexity for the Riemann zeta-function and the divisor problem
M. N. Huxley, A. Ivić
A simple proof of the classical subconvexity bound for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The co…