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Title of Journal: Acta Math Hung

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Abbravation: Acta Mathematica Hungarica

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Springer Netherlands

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DOI

10.1016/j.abb.2005.10.003

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1588-2632

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Existence and optimality of Emphasis Type="Italic

Authors: Clemens Heuberger Daniel Krenn
Publish Date: 2013/02/09
Volume: 140, Issue: 1-2, Pages: 90-104
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Abstract

We consider digit expansions in lattices with endomorphisms acting as base We focus on the wnonadjacent form wNAF where each block of w consecutive digits contains at most one nonzero digit We prove that for sufficiently large w and an expanding endomorphism there is a suitable digit set such that each lattice element has an expansion as a wNAFThe authors are supported by the Austrian Science Fund FWF S9606 that is part of the Austrian National Research Network “Analytic Combinatorics and Probabilistic Number Theory” and by the Austrian Science Fund FWF W1230 Doctoral Program “Discrete Mathematics” Clemens Heuberger is also supported by the Austrian Exchange Service ÖAD project number HU 04/2010


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Other Papers In This Journal:

  1. Weightable quasi-uniformities
  2. Rings of quotients of some infinite dimensional path algebras
  3. The Baum–Katz theorem for dependent sequences
  4. On complete convergence in mean for double sums of independent random elements in Banach spaces
  5. A note on the generalized rank reduction
  6. Veldsman’s classes of associative rings
  7. Atomic decompositions of martingale hardy–morrey spaces
  8. A characterization of polyharmonic functions
  9. A note on invariant sets of iterated function systems
  10. On complete convergence and the strong law of large numbers for pairwise independent random variables
  11. Polynomial approximation with an exponential weight on the real semiaxis
  12. Best L 1 Approximation of Truncated Functions, Whitney-Type and Borh–Favard-Type Inequalities
  13. On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces
  14. A categorical approach to absolute closure
  15. Planar zero divisor graphs of partially ordered sets
  16. On a problem in additive number theory
  17. On powers of relational and algebraic systems
  18. Inequalities for entire functions of exponential type satisfying $$ f(z) \equiv e^{i\gamma } e^{i\tau z} \overline {f(\bar z)} $$
  19. Local stability of a generalized Cauchy equation in Banach spaces
  20. A note on W - I -continuous functions
  21. A Remark on The Geometry of Spaces of Functions with Prime Frequencies
  22. Hua’s theorem with nine almost equal prime variables
  23. A weak type inequality for the maximal operator of ( C, α )-means of Fourier series with respect to the Walsh-Kaczmarz system
  24. Unification of generalized open sets on topological spaces

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