Sign changes of error terms related to arithmetical functions
Paulo J. Almeida (2007)
Journal de Théorie des Nombres de Bordeaux
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Let . Motivated by a conjecture of Erdös, Lau developed a new method and proved that We consider arithmetical functions whose summation can be expressed as , where is a polynomial, and . We generalize Lau’s method and prove results about the number of sign changes for these error terms.