Average order of an arithmetic function: Difference between revisions

Revision as of 15:59, 8 August 2014

Revision as of 16:00, 8 August 2014

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<math> \text{Ave}_{n}\sigma_{k}=\frac{1-q^{k(n+1)}}{1-q^{k}}</math>.

===='''Number of divisors===='''

Let <math>d(f)</math> be the number of monic divisors of ''f'' and let <math>D(n)</math> be the sum of <math>d(f)</math> over all monics of degree n.