In this project, you will implement a program that can execute arithmetic operations on polynomials. The restrictions on polynomial terms are as follows: • The polynomial terms can contain at most ...
Abstract: We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The so-called polynomial modular number system (PMNS) allows for fast polynomial ...
Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...
Arithmetic circuit complexity investigates the computational resources required to evaluate polynomial functions via networks of arithmetic operations. At its core, this field seeks to classify ...
In The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study ...
Presburger arithmetic is the first-order theory of the natural numbers with addition (but no multiplication). We characterize sets that can be defined by a Presburger formula as exactly the sets whose ...
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