Diophantische Gleichungen und die universelle Eigenschaft Finslerscher Zahlen.
Diphantine Approximation with Square-free Numbers.
Dirichlet character sums
Dirichlet motives via modular curves
Dirichlet polynomial approximations to zeta functions
Dirichlet polynomials
Dirichlet Series and Gamma Function Associated with Rational Functions
We investigate zeta regularized products of rational functions. As an application, we obtain the asymptotic expansion of the Euler Gamma function associated with a rational function.
Dirichlet series and uniform ergodic theorems for linear operators in Banach spaces
We study the convergence properties of Dirichlet series for a bounded linear operator T in a Banach space X. For an increasing sequence of positive numbers and a sequence of functions analytic in neighborhoods of the spectrum σ(T), the Dirichlet series for is defined by D[f,μ;z](T) = ∑n=0∞ e-μnz fn(T), z∈ ℂ. Moreover, we introduce a family of summation methods called Dirichlet methods and study the ergodic properties of Dirichlet averages for T in the uniform operator topology.
Dirichlet series associated with polynomials
Dirichlet Series Corresponding to Siegel's Modular Forms.
Dirichlet series induced by the Riemann zeta-function
The Riemann zeta-function ζ(s) extends to an outer function in ergodic Hardy spaces on , the infinite-dimensional torus indexed by primes p. This enables us to investigate collectively certain properties of Dirichlet series of the form for in . Among other things, using the Haar measure on for measuring the asymptotic behavior of ζ(s) in the critical strip, we shall prove, in a weak sense, the mean-value theorem for ζ(s), equivalent to the Lindelöf hypothesis.
Dirichlet series with functional equations and related arithmetical identities
Dirichlet summations and products over primes.
Dirichlet theorems and prime number hypotheses of a conditional Goldbach theorem.
Dirichletsche Reihen auf arithmetischen Progressionen.
Dirichletsche Reihen und Modulformen zweiten Grades
Dirichletsche Reihen zur Hilbertschen Modulgruppe.
Disconnected groups of Lie type as Galois groups.
Discrépance de la suite de van der Corput
Discrépance de la suite
Soit la discrépance “à l’origine” de la suite . Nous montrons que , quantité inférieure à celle correspondant à la suite de van der Corput. Les techniques utilisées sont celles liées au développement en fraction continue.