35 citations · 36 across the 5 of their papers we have counts for
5 papers
Riemann's hypothesis via Robin's Theorem
Dmitri Martila, Stefan Groote
As essential condition for the validy of Robin's Theorem as a precondition for the proof of the Riemann hypothesis, we show that the minimum of the function $F={\rm e}^γ\,\ln(\ln\,…
Analytic error function and numeric inverse obtained by geometric means
Dmitri Martila, Stefan Groote
Using geometric considerations, we provide a clear derivation of the integral representation for the error function, known as the Craig formula. We calculate the corresponding powe…
Evaluation of the Gauss integral
Dmitri Martila, Stefan Groote
The normal or Gaussian distribution plays a prominent role in almost all fields of science. However, it is well known that the Gauss (or Euler--Poisson) integral over a finite boun…
A new mechanism of hypersensitive transport in tilted sharp ratchets induced by noise flatness
Romi Mankin, Astrid Haljas, Risto Tammelo +1
The noise-flatness-induced hypersensitive transport of overdamped Brownian particles in a tilted ratchet system driven by multiplicative nonequilibrium three-level Markovian noise…
Three and four current reversals versus temperature in correlation ratchets with a simple sawtooh potential
Risto Tammelo, Romi Mankin, Dmitri Martila
Transport of Brownian particles on a simple sawtooth potential subjected to both unbiased thermal and nonequilibrium symmetric three-level Markovian noise is considered. The new ef…