10 citations · 73 across the 42 of their papers we have counts for
4 papers · 2 filters
On the Gauss Circle Problem
Nikos Bagis
We analyze the double series of Bessel functions given by Ramanujan. Using a very simple lemma we establish the uniform convergence of these series. By this we address to the Gauss…
Solution of Polynomial Equations with Nested Radicals
Nikos Bagis
In this article we present solutions of certain polynomial equations in periodic nested radicals. We also present a new way to solve the general tetranomial equation with new funct…
On the Number of Representations of Integers by various Quadratic and Higher Forms
Nikos Bagis, M. L Glasser
We give formulas for the number of representations of non negative integers by various quadratic forms. We also give evaluations in the case of sum of two cubes (cubic case) and th…
Note on a Nonlinear Differential Equation
Nikos Bagis
We give evaluations in closed form of certain non linear differential equations