10 citations · 73 across the 42 of their papers we have counts for
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Generalized Integrals and Solvability
Nikos Bagis
Based on previous work we consturct an equation (Lagrange equation) and relate it with a system of generalized integrals and differential equations in such a way to provide useful…
On the numbers that are sums of three cubes
Nikos Bagis
We examine what integers are representable as sums of three cubes. We also provide formulas for the number of representations of under the condition . Also…
Riemann spaces and Pfaff differential forms
Nikos D. Bagis
In this work we study differential geometry in dimensional Riemann curved spaces using Pfaff derivatives. Avoiding the classical partial derivative the Pfaff derivatives are co…
Properties of Lerch Sums and Ramanujan's Mock Theta Functions
N. D. Bagis
In this article we study properties of Ramanujan's mock theta functions that can be expressed in Lerch sums. We mainly show that each Lerch sum is actually the integral of a Jacobi…
Evaluations of certain theta functions in Ramanujan theory of alternative modular bases
N. D. Bagis
We give evaluations of certain Borwein's theta functions which appear in Ramanujan theory of alternative elliptic modular bases. Most of this theory where developed by B.C. Berndt,…
On the complete solution of the general quintic using Rogers-Ramanujan continued fraction
Nikos Bagis
In this article we give solution of the general quintic equation by means of the Rogers-Ramanujan continued fraction. More precisely we express a root of the quintic as a known alg…