Monotonic phinomial coefficients
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We investigate the monotonic characteristics of the generalised binomial coefficients (phinomials) based upon Euler’s totient function. We show, unconditionally, that the set of integers for which this sequence is unimodal is finite and, assuming the generalised Riemann hypothesis, we find all the exceptions.
The article of record as published may be found at http://dx.doi.org/10.1017/S0004972716001088