Multiplicative functions additive on polygonal numbers
Sign Up to like & getrecommendations! Published in 2021 at "Aequationes mathematicae"
DOI: 10.1007/s00010-021-00824-8
Abstract: We prove that the set $$\mathcal {P}$$ ( $$\mathcal {H}$$ , resp.) of all positive pentagonal (hexagonal, resp.) numbers is an additive uniqueness set for the collection of multiplicative functions; if a multiplicative function f… read more here.
Keywords: polygonal numbers; additive polygonal; resp; multiplicative functions ... See more keywords
Multiplicative functions additive on generalized pentagonal numbers
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DOI: 10.1016/j.crma.2017.12.011
Abstract: Abstract We prove that the set GP of all nonzero generalized pentagonal numbers is an additive uniqueness set; if a multiplicative function f satisfies the equation f ( a + b ) = f (… read more here.
Keywords: additive generalized; generalized pentagonal; pentagonal numbers; multiplicative functions ... See more keywords