Photo from academic.microsoft.com
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 +… Click to show full 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 ( a ) + f ( b ) , for all a , b ∈ G P , then f is the identity function.
Keywords:
additive generalized;
generalized pentagonal;
pentagonal numbers;
multiplicative functions;
functions additive
Journal Title: Comptes Rendus Mathematique
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Comptes Rendus Mathematique
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!