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Arithmetically Related Ideal Topologies and the Infinitude of Primes [PDF]

, 2004
The late J. Knopfmacher and the author [12] have studied some ties between arithmetic properties of the multiplicative structure of commutative rings with identity and the topologies induced by some coset classes. In the present communication it is
Porubský, Stefan
core

On the ratio of the sum of divisors and Euler’s Totient Function I [PDF]

, 2013
We prove that the only solutions to the equation σ(n)=2φ(n) with at most three distinct prime factors are 3, 35 and 1045. Moreover, there exist at most a finite number of solutions to σ(n)=2φ(n) with Ω(n)≤ k, and there are at most 22k+k-k squarefree ...
Delbourgo, Daniel, Broughan, Kevin A.
core

Genetic population structure of the malaria vector Anopheles baimaii in north-east India using mitochondrial DNA. [PDF]