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Linear equations in integers with bounded sum of digits

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Publication:922583
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DOI10.1016/0022-314X(90)90121-7zbMath0711.11018OpenAlexW2091587438MaRDI QIDQ922583

Hans Peter Schlickewei

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(90)90121-7


zbMATH Keywords

S-unit equationsfiniteness result of Senge and Straus


Mathematics Subject Classification ID

Diophantine inequalities (11D75) Radix representation; digital problems (11A63)


Related Items

On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields ⋮ On the representation of Fibonacci and Lucas numbers in an integer base ⋮ Unnamed Item ⋮ Waring's problem with digital restrictions



Cites Work

  • PV-numbers and sets of multiplicity
  • An explicit upper bound for the number of solutions of the S-unit equation.
  • The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.
  • On the representation of an integer in two different bases.
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