Nathan McKenzie's user avatar
Nathan McKenzie's user avatar
Nathan McKenzie's user avatar
Nathan McKenzie
  • Member for 13 years, 2 months
  • Last seen more than a month ago
  • Pittsburgh, Pa
24 votes
5 answers
11k views

Fastest algorithm to compute the sum of primes?

3 votes
2 answers
2k views

The relationship between the Dirichlet Hyperbola Method, the prime counting function, and Mertens function

8 votes
3 answers
2k views

Prime counting - any fast alternatives to the Lagarias-Miller-Odlyzko combinatorial method or the Lagarias-Odlyzko analytical methods?

7 votes
1 answer
752 views

Logarithmic Integral of n^Zeta Zeroes and certain nested sums of the fractional part function

6 votes
1 answer
750 views

Can the generalized divisor summatory function $D_z$ be expressed explicitly in terms of Zeta Zeros?

2 votes
1 answer
577 views

Principal term of the Dirichlet Divisor problem, from the work of A.F. Lavrik?

6 votes
0 answers
527 views

Any published references for this $O(n)$ time, $O(n^\epsilon)$ space identity for the count of primes?

1 vote
0 answers
499 views

Applying the ideas of power series to certain convolutions - which identities transfer?

0 votes
2 answers
222 views

Prove $\lim_{n\to\infty}-\frac{4z}{1+4z^2}n+\sum_{j=1}^n(\frac{n}{j})^{\frac{1}{2}}\sin(z\log{\frac{n}{j}})$ doesn't converge for $\Im(z)\ne0$?

1 vote
0 answers
172 views

A generalization of alternating series involving modulus?

0 votes
0 answers
147 views

Arithmetic functions associated with Hurwitz Zeta function raised to arbitrary complex powers, $\zeta(s,q)^z$ for $q \in \mathbb{N}$?

4 votes
0 answers
144 views

Generalizing Voronoi summation and the inverse Mellin transform of $(2^{1-s} \pi^{-s} \cos(\frac{\pi s}{2})\Gamma(s))^n$

2 votes
0 answers
84 views

Proving convergence is impossible for a sum of hyperbolic cosines