M. Visser

collaborators

4 papers

math.NT2026

Effective short intervals containing primes

Matt Visser

95 years ago Hoheisel proved the existence of primes in the sub-linear interval \[ \left[x, x+x^{1-{1\over 33000}}\right] \qquad \hbox{for $x$ sufficiently large}. \] This was impr…

math-ph2026

Explicit formulae for stochastic equilibria

Matt Visser

Finding the stochastic equilibria for finite-state stochastic matrices amounts to solving an eigen\-vector problem $I ¨ = I ¨ P$ . Various techniques for doing so are known, some extrem…

math.NT2025

Sierpinski's Hypothesis H1

Matt Visser

Sierpinski's Hypothesis H1, formulated in 1958, is the conjecture that (provided $n \geq 2$ ), when the first $n^{2}$ counting numbers, $1, 2, 3, \dots n^{2}$ , are arranged in a square, th…

math.NT2025

Behaviour of the sequence $ϑ_{n} = ϑ (p_{n})$

Matt Visser

The well-known sequence $ϑ_{n} = ϑ (p_{n}) = \sum_{i = 1}^{n} ln p_{i} = ln ([p_{n}] #)$ exhibits numerous extremely interesting properties. Since $p_n = \exp(\varthe…

Effective short intervals containing primes

Explicit formulae for stochastic equilibria

Sierpinski's Hypothesis H1

Behaviour of the sequence ϑn​=ϑ(pn​)

Behaviour of the sequence $ϑ_{n} = ϑ (p_{n})$