G. Hurst

activity

20092026

most citedAn elementary (number theory) proof of Touchard's congruence

1 citations · 2 across the 3 of their papers we have counts for

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math.NT2026

Practical Computations of the Mertens Function: $M (1 0^{24})$ and $M (1 0^{25})$

Greg Hurst

The Mertens function is defined as $M (x) = \sum_{n \leq x} μ (n)$ , where $μ (n)$ is the Möbius function. This paper describes a practical implementation of the classical $O(x^{2/3+\varep…

math.NT2016★ 1 cited

Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture

Greg Hurst

The Mertens function is defined as $M (x) = \sum_{n \leq x} μ (n)$ , where $μ (n)$ is the Möbius function. The Mertens conjecture states $∣ M (x) / x ∣ < 1$ for $x > 1$ , which was pr…

Practical Computations of the Mertens Function: M(1024) and M(1025)

Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture

Practical Computations of the Mertens Function: $M (1 0^{24})$ and $M (1 0^{25})$