A metric result on the pair correlation of fractional parts of sequences
About some inequalities concerning the fractional part.
Galleries in Poincaré half-spaces and diophantine approximation.
Inhomogeneous diophantine approximation on polynomials in
On Popov's explicit formula and the Davenport expansion
We shall establish an explicit formula for the Davenport series in terms of trivial zeros of the Riemann zeta-function, where by the Davenport series we mean an infinite series involving a PNT (Prime Number Theorem) related to arithmetic function with the periodic Bernoulli polynomial weight and PNT arithmetic functions include the von Mangoldt function, Möbius function and Liouville function, etc. The Riesz sum of order or gives the well-known explicit formula for respectively the partial...
On the fractional parts of the powers of a rational number
Pairs of additive quadratic forms modulo one
Répartition (mod 1) des puissances successives des nombres réels.
Solvability of a Diophantine inequality in algebraic number fields
The application of a new mean value theorem to the fractional parts of polynomials
Об одном обобщении понятия равномерного распределения дробных долей