On the normal number of prime factors of \(\phi(n)\)

From MaRDI portal
Publication:1821814

DOI10.1216/RMJ-1985-15-2-343zbMath0617.10037OpenAlexW2018226616WikidataQ105890387 ScholiaQ105890387MaRDI QIDQ1821814

Carl B. Pomerance

Publication date: 1985

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1985-15-2-343




Related Items (30)

Counting terms $U_n$ of third order linear recurrences with $U_n=u^2+nv^2$Number of prime divisors of \(\varphi_ k(n)\), where \(\varphi_ k\) is the \(k\)-fold iterative of \(\varphi\)The distribution of totientsPrime chains and Pratt treesAn all-purpose Erdős-Kac theoremPopular subsets for Euler's \(\varphi \)-functionOn the normal number of prime factors of \(\varphi(n)\) subject to certain congruence conditionsEffective means for complex multiplicative functionsSquare-free values of the Carmichael function.An arithmetic function arising from Carmichael's conjectureA prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism ringsOn the number of prime factors of \(\varphi{} (\varphi{}(n))\)The average number of divisors of the Euler functionAnatomy of torsion in the CM caseOn the number of prime factors of values of the sum-of-proper-divisors functionOn the number of sparse RSA exponentsSome theorems on multiplicative orders modulo \(p\) on averageOn an Erdős-pomerance conjecture for rank one Drinfeld modulesTHE DISTRIBUTION OF THE NUMBER OF SUBGROUPS OF THE MULTIPLICATIVE GROUPAverage results on the order of \(a\) modulo \(p\)Complexity of inverting the Euler functionA Carlitz module analogue of a conjecture of Erdos and PomeranceA concentration property with respect to the Euler functionVariations on a theme by Akl and Taylor: security and tradeoffsCounting composites with two strong liarsOn the equations ϕ(n) = ϕ(n + k) and ϕ(p − 1) = ϕ(q − 1)Artin's conjecture on average for composite moduliValues of the Euler function in various sequencesThe Number of Non-cyclic Sylow Subgroups of the Multiplicative Group Modulo nCompositions with the Euler and Carmichael functions







This page was built for publication: On the normal number of prime factors of \(\phi(n)\)