2 citations · 2 across the 4 of their papers we have counts for
4 papers
A Minimal Substitution Basis for the Kalmár Elementary Functions
Mihai Prunescu, Lorenzo Sauras-Altuzarra, Joseph M. Shunia
We show that the class of Kalmár elementary functions can be inductively generated from the addition, the integer remainder, and the base-two exponentiation, hence improving previo…
On the representation of number-theoretic functions by arithmetic terms
Mihai Prunescu, Lorenzo Sauras-Altuzarra
We present closed forms for several functions that are fundamental in number theory and we explain the method used to obtain them. Concretely, we find formulas for the p-adic valua…
On the representation of C-recursive integer sequences by arithmetic terms
Mihai Prunescu, Lorenzo Sauras-Altuzarra
We show that, if an integer sequence is given by a linear recurrence of constant rational coefficients, then it can be represented as the difference of two arithmetic terms with ex…
Arithmetic Terms for Multinomial Coefficient Sums
Joseph M. Shunia, Lorenzo Sauras-Altuzarra
We construct arithmetic terms representing the partial sums of binomial coefficients, and we extend these results to obtain arithmetic terms representing the multisections of binom…