11 citations · 26 across the 16 of their papers we have counts for
16 papers
On Positive Integer Descartes-Steiner Curvature Quintuplets
Wolfdieter Lang
In Descartes' five circle problem integer curvatures (inverse radii) are considered. The positive integer curvature triple [c_1, c_2, c_3] (dimensionless), with non-decreasing entr…
Four Sequences of Length 28 and the Gregorian Calendar
Wolfdieter Lang
It is shown that each sequence giving the number of times a given day of the month falls on a certain day of the week for successive years of the Gregorian cycle can be compo…
Cantor's List of Real Algebraic Numbers of Heights 1 to 7
Wolfdieter Lang
Cantor gave in his fundamental article an elegant proof of the countability of real algebraic numbers based on a positive integer height, denoted by him as N, of integer and irredu…
Improved Formula for the Multi-Section of the Linear Three-Term Recurrence Sequence
Gary Detlefs, Wolfdieter Lang
The standard formula for the multi-section of the general linear three-term recurrence relation is simplified in terms of Chebyshev S-polynomials.
On the Equivalence of Three Complete Cyclic Systems of Integers
Wolfdieter Lang
The system of coaches by Hilton and Pedersen, the system of cyclic sequences of Schick, and Braendli-Bayne, related to diagonals in regular (2 n)-gons, and the system of modified m…
The Tribonacci and ABC Representations of Numbers are Equivalent
Wolfdieter Lang
It is shown that the unique representation of positive integers in terms of tribonacci numbers and the unique representation in terms of iterated A, B and C sequences defined from…