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math.NT2010
Lack of Divisibility of by three fixed odd primes infinitely often, through the Extension of a Result by P. Erdős, et al
Robert J Betts
We provide a way to modify and to extend a previously established inequality by P. Erdős, R. Graham and others and to answer a conjecture posed in the nineties by R. Graham, which…
math.NT2010
A uniformly convergent Series for and closed Formulas, that include Catalan Numbers
Robert J. Betts
There exists an infinite series of ratios by which one can derive the Riemann zeta function from Catalan numbers and central binomial coefficients which appear in the terms…
math.NT2010
Deriving from an Assumption a semistable elliptic Curve for \(x_{0}^{k} + y_{0}^{l} = z_{0}^{m}\)
Robert J. Betts
With a simple transformation of the three exponents the generalized Fermat equation can be put into the same form as the Fermat equation. When it is rewritten into this new altered…