On a Conjecture of Zaremba.
On a conjecture on exponential Diophantine equations
On a connection of number theory with graph theory
We assign to each positive integer a digraph whose set of vertices is and for which there is a directed edge from to if . We establish necessary and sufficient conditions for the existence of isolated fixed points. We also examine when the digraph is semiregular. Moreover, we present simple conditions for the number of components and length of cycles. Two new necessary and sufficient conditions for the compositeness of Fermat numbers are also introduced.
On a constant of Turán and Erdös
On a construction on p-units in abelian fields.
On a Convolution of L-Series.
On a correspondence between p-adic Siegel-Eisenstein series and genus theta series
On a cyclotomic diophantine equation.
On a decomposition of integer vectors, II
On a decomposition of polynomials in several variables
One considers representation of a polynomial in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.
On a decomposition of polynomials in several variables, II
One considers representation of cubic polynomials in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.
On a density problem of Erdös
On a Diophantine equation.
On a Diophantine Equation.
On a diophantine equation
On a diophantine equation connected with the Fermat equation
On a Diophantine equation involving factorials.
On a diophantine equation involving quadratic characters
On a diophantine equation of a modified Fermat type
On a diophantine equation (x2 - 1) (y2 - 1) = (z2 - 1)2.