Robin's inequality for 11-free integers
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© 2015 copyright with the authors.
Abstract
Let σ(n) denote the sum of divisors function, and let ϒ be Euler’s constant. We prove that if there is an n≥5041 for which σ(n)≥eϒn log log n, then n must be divisible by the eleventh power of some prime.
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Broughan, K. A., & Trudgian, T. (2015). Robin’s inequality for 11-free integers. Integers : Electronic Journal of Combinatorial Number Theory, 15.
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State University of West Georgia, Charles University, and DIMATIA