On a problem of Steinhaus concerning binary sequences.
On a problem of sums of mixed powers
On a problem of Tamas Varga
On a problem of the Additive Theory of Numbers
On a problem of W. M. Schmidt concerning one-sided ireegularities of point distrubitions.
On a Problem of W. Sierpinski.
On a problem posed by R. Salvati Manni
On a product of sines
On a product related to the cubic Gauss sum.
On a Property of Siegel Theta-Series.
On a quantitative refinement of the Lagrange spectrum
On a quantitative version of the Oppenheim conjecture.
On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
The paper deals with lower bounds for the remainder term in asymptotics for a certain class of arithmetic functions. Typically, these are generated by a Dirichlet series of the form ζ 2(s)ζ(2s−1)ζ M(2s)H(s), where M is an arbitrary integer and H(s) has an Euler product which converges absolutely for R s > σ0, with some fixed σ0 < 1/2.
On a question of additive number theory
On a question of Lehmer
On a question of Lehmer and the number of irreducible factors of a polynomial
On a question of P. Turán
On a question of S. Chowla
On a question of Schmidt and Summerer concerning -systems
Following a suggestion of W.M. Schmidt and L. Summerer, we construct a proper -system with the property . In fact, our method generalizes to provide -systems with , for arbitrary . We visualize our constructions with graphics. We further present explicit examples of numbers that induce the -systems in question.
On a question regarding visibility of lattice points, II