I'm highly interested in algorithms for computing arithmetic summatory functions, Linnik's identity, arithmetic summatory functions generally, and especially the role of divisor-style functions in those spaces.
18 Fastest Algorithm to Compute the Sum of Primes? Nov 20 '11
6 Logarithmic Integral of n^Zeta Zeroes and certain nested sums of the fractional part function Dec 7 '11
6 Prime counting - any fast alternatives to the Lagarias-Miller-Odlyzko combinatorial method or the Lagarias-Odlyzko analytical methods? Jan 25 '11
6 Any published references for this $O(n)$ time, $O(n^\epsilon)$ space identity for the count of primes? Dec 19 '12
4 Fastest Algorithm to Compute the Sum of Primes? Nov 29 '11
3 Can the generalized divisor summatory function $D_z$ be expressed explicitly in terms of Zeta Zeros? Apr 22 '14