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Some identities for infinite series involving arithmetic functions are derived through Jacobi symbols (−1|k) and (2|k). Using these identities, some Dirichlet series are expressed in terms of Hurwitz zeta function.
- Möbius function
- Arithmetic function
- Jacobi symbol
- Dirichlet series
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Cite this paperAPA
Muthumalai, R. K. (2015). Some infinite series involving arithmetic functions. Notes on Number Theory and Discrete Mathematics, 21(2), 8-14.Chicago
Muthumalai, Ramesh Kumar. “Some Infinite Series Involving Arithmetic Functions.” Notes on Number Theory and Discrete Mathematics 21, no. 2 (2015): 8-14.MLA
Muthumalai, Ramesh Kumar. “Some Infinite Series Involving Arithmetic Functions.” Notes on Number Theory and Discrete Mathematics 21.2 (2015): 8-14. Print.