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math.HO2023
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…
math.NT2023
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…
math.CO2023
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.