Arithmetical properties of finite rings and algebras, and analytic number theory. IV. Relative asymptotic enumeration and L-series.
Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.
Arithmetical properties of finite rings and algebras, and analytic number theory. II.
Arithmetical properties of function fields (II). The generalized Schur problem
Arithmetical properties of gap series with algebraic coefficients
Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré
Arithmetical quadratic surfaces of genus 0, I.
Arithmetical quadratic surfaces of genus 0, II.
Arithmetical semigroups defined by congruences.
Arithmetical semigroups I: direct factors.
Arithmetical semigroups II: sieving by large and small prime elements. Sets of multiples.
Arithmetical Semigroups III: Elements With Prime Factors in Residue Classes.
Arithmetical Semigroups V: Multiplicative Functions.
Arithmetical sequences and systems of functional equations.
Arithmetical study of recurrence sequences
Arithmetical sums in regular convolutions.
Arithmetical Tauberian theorems
Arithmetics in numeration systems with negative quadratic base
We consider positional numeration system with negative base , as introduced by Ito and Sadahiro. In particular, we focus on arithmetical properties of such systems when is a quadratic Pisot number. We study a class of roots of polynomials , , and show that in this case the set of finite -expansions is closed under addition, although it is not closed under subtraction. A particular example is , the golden ratio. For such , we determine the exact bound on the number of fractional digits...
Arithmetics of beta-expansions
Arithmetik in Frobeniuserweiterungen.