Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Martila, Dmitri"'
Autor:
Martila, Dmitri, Groote, Stefan
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 $F={\rm e}^{\gamma}\,\ln(\ln\,n)-\sigma(n)/n$ is found to be positive. Therefore, $F>0$ holds
Externí odkaz:
http://arxiv.org/abs/2401.07635
Autor:
Martila, Dmitri, Groote, Stefan
Publikováno v:
Stats 2023, 6(1), 431-437
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 power series expansion and prove the convergence. The same geometric means
Externí odkaz:
http://arxiv.org/abs/2302.12639
Autor:
Martila, Dmitri, Groote, Stefan
Publikováno v:
Stats 2022, 5(2), 538-545
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 boundary, as it is necessary for instance for the error function or the cu
Externí odkaz:
http://arxiv.org/abs/2202.12394
The noise-flatness-induced hypersensitive transport of overdamped Brownian particles in a tilted ratchet system driven by multiplicative nonequilibrium three-level Markovian noise and additive white noise is considered. At low temperatures the enhanc
Externí odkaz:
http://arxiv.org/abs/cond-mat/0303511
Publikováno v:
Phys. Rev. E 66, 051101 (2002)
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 effects of three and four current reversals as a function of temperature
Externí odkaz:
http://arxiv.org/abs/cond-mat/0207014