3 papers
math.NT2026
Calculating the floor of y**(1/m)
Alexandros V. Gerbessiotis
We present two algorithms based on the Newton-Raphson method to calculate the floor of y**(1/m) for natural integer numbers y>2 and m >1. One could use such an algorithm to establi…
math.HO2026
Lectures notes on number theory for computer science
Alexandros V. Gerbessiotis
This brief, in the form of an e-book, is a collection of notes that cover elementary and medium level number theory with a target audience of primarily computer science students. I…
cs.DM2025
A survey of Chernoff and Hoeffding bounds
Alexandros V. Gerbessiotis
This is a survey paper that discusses the original bounds of the seminal papers by Chernoff and Hoeffding. Moreover, it includes a variety of derivative bounds in a variety of form…