Displaying similar documents to “A survey of results on density modulo 1 of double sequences containing algebraic numbers”

Sequences of algebraic integers and density modulo  1

Roman Urban (2007)

Journal de Théorie des Nombres de Bordeaux

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We prove density modulo 1 of the sets of the form { μ m λ n ξ + r m : n , m ∈ ℕ } , where λ , μ ∈ ℝ is a pair of rationally independent algebraic integers of degree d ≥ 2 , satisfying some additional assumptions, ξ ≠ 0 , and r m is any sequence of real numbers.

Semiperfect countable C-separative C-finite semigroups.

Torben Maack Bisgaard (2001)

Collectanea Mathematica

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Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely...