A bound for the first k-1 consecutive k-th power non-residues (mod p)
A bound on Kaprekar constants.
A cellular automaton on a torus.
A characterization of covering equivalence
A characterization of rational elements by Lüroth-type series expansions in the p-adic number field and in the field of Laurent series over a finite field
A characterization of rational numbers by p-adic Sylvester series expansions
A characterization of some q-multiplicative functions
A class of algebraic-exponential congruences modulo .
A class of weakly perfect graphs
A graph is called weakly perfect if its chromatic number equals its clique number. In this note a new class of weakly perfect graphs is presented and an explicit formula for the chromatic number of such graphs is given.
A combinatorial method for construction normal numbers.
A common generalization of binomial coefficients, Stirling numbers and Gaussian Coefficientes
A congruence involving the quotients of Euler and its applications (I)
A congruence involving the quotients of Euler and its applications (II)
A conjecture on digital cycles.
A continued fraction expansion for a -tangent function.
A continued fraction expansion for a -tangent function: an elementary proof.
A continued fraction of order twelve
In this paper, we establish several explicit evaluations, reciprocity theorems and integral representations for a continued fraction of order twelve which are analogues to Rogers-Ramanujan’s continued fraction and Ramanujan’s cubic continued fraction.
A convolution theorem with applications to some divisor functions.
A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series
A decision method for the recognizability of sets defined by number systems