**5. Conclusions**

In the offered model for fast frequency measurement, the result is fixed on the equality of intervals *n T*0 0 and *n TX X* . Therefore the model is independent to the parameters of coincidence circuits, duration and the shape of coincidence pulses, and the parameters of "zero-crossing" pulses in both sequences.

Due to jitter effect some theoretically expected marginal coincidences may disappear or nontheoretically expected may appear. However, this phenomenon can not be observed in nonmarginal coincidences, for instance the expected coincidence under condition (30) and an appropriated pulse width τ.

For measuring systems which can be constructed on the basis of the specified model, systematic and instrumental errors have the same infinitesimal order. Instrumental errors are caused only by the reproducibility of the reference frequency.

For measurements of high values of frequency *Xf* it is expedient to use higher values of reference frequency in order to have an equivalent reduction of measurement time.

Also it is important to note, that this theoretical method permits to measure unknown frequency value in a case, when unknown frequency exceeds the own value of a standard. For classical methods it is impossible completely.

In future work, there will be an improved version of the experimental prototype to reduce the influence of deterministic errors in measuring and evaluating new frequency estimators based on the Theory of Numbers.
