On some new arithmetic functions involving prime divisors and perfect powers

DOI10.1016/j.endm.2018.11.002zbMath1453.11002OpenAlexW2904370400WikidataQ128812492 ScholiaQ128812492MaRDI QIDQ1739916

Ovidiu Bagdasar, Ralph Tatt

Publication date: 29 April 2019

Full work available at URL: https://doi.org/10.1016/j.endm.2018.11.002

zbMATH Keywords

integer sequencesperfect powersarithmetic functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Recurrences (11B37) Other combinatorial number theory (11B75) Special sequences and polynomials (11B83) Arithmetic functions; related numbers; inversion formulas (11A25) Calculation of integer sequences (11Y55)

Uses Software

• OEIS

Cites Work

• Some remarks on 3-partitions of multisets
• Modular elliptic curves and Fermat's Last Theorem
• Primary cyclotomic units and a proof of Catalans conjecture
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