2 citations · 4 across the 6 of their papers we have counts for
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A congruence with the Euler totient function
Sebastian Martin Ruiz
In this article we give a result obtained of an experimental way for the Euler totient function.
Properties and Problems related to Smarandache Type Functions
Sebastian Martin Ruiz, M. L. Perez
In this paper we present the definitions and some properties of several Samrandache Type Functions that are involved in many solved and unsolved problems and conjectures in number…
A Functional Recurrence to obtain the Prime Numbers using the Smarandache Prime Function
Sebastian Martin Ruiz
In this article we gave a recurrence to obtain the n-th prime number as function of the (n-1)-th prime number.
Smarandache Function Applied to Perfect Numbers
Sebastian Martin Ruiz
In this article we see that the value takes the Smarandache Function when it is applied to a perfect number.
An Algebraic Identity Leading to Wilson Theorem
Sebastian Martin Ruiz
In most text books on number theory Wilson Theorem is proved by applying Lagrange theorem concerning polynomial congruences.Hardy and Wright also give a proof using cuadratic resid…
A new formula for the nth prime
Sebastian Martin Ruiz
Formula for the nth prime using elementary arithmetical functions based in a previous formula changing the characteristic function of prime numbers.