7 citations · 25 across the 12 of their papers we have counts for
4 papers · 1 filter
About statistics of periods of continued fractions of quadratic irrationalities
E. Yu. Lerner
In this paper we answer certain questions posed by V.I. Arnold, namely, we study periods of continued fractions for solutions of quadratic equations in the form with in…
Comlexity of prime-dimensional sequences over a finite field
E. Yu Lerner
V.I. Arnold has recently defined the complexity of a sequence of zeros and ones with the help of the operator of finite differences. In this paper we describe the results obtai…
Multiplicative function instead of logarithm (an elementary approach)
E. Yu. Lerner
V.I. Arnold has recently defined the complexity of finite sequences of zeroes and ones in terms of periods and preperiods of attractors of a dynamic system of the operator of finit…
Tables of graphs of binary and ternary sequences differentiation
E. Yu. Lerner
Let be a cyclic sequence of elements of the finite field (the first element immediately follows the -th one). Let us define the operation as the trans…