4 papers
A non-symmetric divide-and-conquer recursive formula for the convolution of polynomials and power series
Thomas Baruchel
Some changes in a recent convolution formula are performed here in order to clean it up by using more conventional notations and by making use of more referrenced and documented co…
Properties of the cumulated deficient binary digit sum
Thomas Baruchel
The sequence A268289 from the On-Line Encyclopedia of Integer Sequences, namely the cumulated differences between the number of digits 1 and the number of digits 0 in the binary ex…
Flattening Karatsuba's recursion tree into a single summation
Thomas Baruchel
The recursion tree resulting from Karatsuba's formula is built here by using an interleaved splitting scheme rather than the traditional left/right one. This allows an easier acces…
On error sums formed by rational approximations with split denominators
Thomas Baruchel, Carsten Elsner
In this paper we consider error sums of the form \[\sum_{m=0}^{\infty} \varepsilon_m\Big( \,b_mα- \frac{a_m}{c_m}\,\Big) \,,\] where is a real number, , , are i…