Powerful Numbers
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Publication:5622262
DOI10.2307/2317020zbMath0218.10018OpenAlexW4239361529WikidataQ56286307 ScholiaQ56286307MaRDI QIDQ5622262
Publication date: 1970
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2317020
Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)
Related Items (19)
On the exponents in the factorizations ofrconsecutive numbers ⋮ Proof Without Words: Consecutive Powerful Numbers ⋮ Fundamental units and consecutive squarefull numbers ⋮ The reciprocal sum of primitive nondeficient numbers ⋮ On the number of special numbers ⋮ On the order of the error function of the square-full integers ⋮ Quaternionic Artin representations of ℚ ⋮ On Cauchy-Liouville-Mirimanoff polynomials. II ⋮ Arithmetic progressions in squarefull numbers ⋮ Numbers of the form \((1^{\ell}+q^{\ell})(2^{\ell}+q^{\ell})\cdots(n^{\ell}+q^\ell)\) that are not powerful ⋮ Fixed point polynomials of permutation groups. ⋮ Powerful numbers in \((1^k +1)(2^k+1) \cdots (n^k +1)\) ⋮ The smallest prime that splits completely in an abelian number field ⋮ A note on cube-full numbers in arithmetic progression ⋮ Unitary Harmonic Numbers ⋮ On the number of distinct exponents in the prime factorization of an integer ⋮ Infinitary harmonic numbers ⋮ Short sums of multiplicative functions ⋮ On the order of the error function of the square-full integers. II
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