MathDB
Miklos Schweitzer 1951_12

Source:

October 8, 2008
functionnumber theory proposednumber theory

Problem Statement

By number-theoretical functions, we will understand integer-valued functions defined on the set of all integers. Are there number-theoretical functions f0(x),f1(x),f2(x),… f_0(x),f_1(x),f_2(x),\dots such that every number theoretical function F(x) F(x) can be uniquely represented in the form F(x)\equal{}\sum_{k\equal{}0}^{\infty}a_kf_k(x), a0,a1,a2,… a_0,a_1,a_2,\dots being integers?
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