14 citations · 37 across the 6 of their papers we have counts for
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math.NT2018★ 1 cited
Construction of Algorithms for Parallel Addition
Jan Legerský, Milena Svobodová
An algebraic number with no conjugate of modulus 1 can serve as the base of a numeration system with parallel addition, i.e., the sum of two op…
math.NT2016★ 13 cited
Minimal digit sets for parallel addition in non-standard numeration systems
Christiane Frougny, Edita Pelantova, Milena Svobodova
We study parallel algorithms for addition of numbers having finite representation in a positional numeration system defined by a base in and a finite digit set $\m…
math.NT2013★ 1 cited
-block parallel addition versus -block parallel addition in non-standard numeration systems
Christiane Frougny, Pavel Heller, Edita Pelantová +1
Parallel addition in integer base is used for speeding up multiplication and division algorithms. -block parallel addition has been introduced by Kornerup in 1999: instead of ma…