Proof of the Conjencture 5.2 Taken From the Research Paper 'Research Problems in Number Theory'
Keywords:
Additive Function, Logarithmic Series, Multiplicative GroupAbstract
The conjecture is taken from the research paper "Research problems in Number Theory" published by Nguyen Cong Hao, Imre K'atai and Bui Minh Phong in the year 2014, that elaborated the concept of additive function, multiplicative function. The conjecture that is proved herein, is deduced for k = 1 from the Wirsing's Theorem that says any real valued multiplicative function/modulus < 1 has a mean value or its limit exists. In this paper, we proved the conjecture 5.2 from the same paper in a simplified way using some basic concepts of arithmetic.
References
- Nguyen CH, Imre K and Bui Minh P. (2014). Research Problems in Number Theory. Annales Univ. Sci. Budapest., Sect. Comp. 43: 267-277
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