The distribution of totients
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Publication:1265261
DOI10.1023/A:1009761909132zbMath0914.11053OpenAlexW1612880716WikidataQ63987678 ScholiaQ63987678MaRDI QIDQ1265261
Publication date: 21 June 1999
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1009761909132
Carmichael's conjecturetotientsSierpiński's conjecturenormal number of prime factorsprime \(k\)-tuples conjecture
Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)
Related Items (24)
A Conjecture on Primes in Arithmetic Progressions and Geometric Intervals ⋮ The distribution of totients ⋮ On the density of the set of known Hadamard orders ⋮ Numbers of the form kf(k) ⋮ Phi, primorials, and Poisson ⋮ Popular subsets for Euler's \(\varphi \)-function ⋮ ON THE ITERATES OF THE SHIFTED EULER’S FUNCTION ⋮ Sets of monotonicity for Euler's totient function ⋮ An arithmetic function arising from Carmichael's conjecture ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Gaps between prime numbers and tensor rank of multiplication in finite fields ⋮ On common values of \(\varphi(n)\) and \(\sigma(m)\). I ⋮ Sur la représentation des entiers par des formes cyclotomiques de grand degré ⋮ Square values of Euler's function ⋮ Variant of a theorem of Erdős on the sum-of-proper-divisors function ⋮ Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms ⋮ Sparse subsets of the natural numbers and Euler's totient function ⋮ On quotients of values of Euler's function on the Catalan numbers ⋮ THE MAXIMAL ORDER OF ITERATED MULTIPLICATIVE FUNCTIONS ⋮ Values of the Euler function in various sequences ⋮ Compositions with the Euler and Carmichael functions ⋮ on the value set of the Carmichael λ-function ⋮ 2-adic stratification of totients
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