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Note on Some Identities Involving Mobius Function
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In the present paper two new identities ((2) and (10)) about multiplicative arithmetic functions that do not vanish anywhere on the set of positive integers are proposed and proved. These identities use the famous Möbius function. Also many other interesting identities are obtained as corollaries from them.
Abstract
In the present paper two new identities ((2) and (10)) about multiplicative arithmetic functions that do not vanish anywhere on the set of positive integers are proposed and proved. These identities use the famous Möbius function. Also many other interesting identities are obtained as corollaries from them.
참고문헌 (3)
- Chandrasekharan, K., "Introduction to Analitic Number Theory" (1968), Springer - Verlag
- Polya, G., "Problems and Theorems in Analysis II" (1998), Springer - Verlag
- Sivaramakrishnan, R., "Classical Theory of Arithmetic Functions" (1989), Dekker
관련 논문AI추천
PROOF OF THE MOBIUS CONJECTURE REVISITEDA. Bayad, M. GOUBI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호On the Euler minimum and maximum functionsJozsef Sandor장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호Unitary analogues of a generalized number-theoretic sumBoonrod Yuttanan, Traiwat Intarawong대한수학회 · 대한수학회논문집2023 · 제38권 제2호Generalizations of number-theoretic sumsNarakorn Rompurk Kanasri, Patchara Pornsurat, Yanapat Tongron대한수학회 · 대한수학회논문집2019 · 제34권 제4호The convolution sums sum ∑m<n/8 σ1 (m) σ3 (n-8m) and ∑m<n/8 σ3 (m) σ1 (n-8m)김애란장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호Convolution sums arising from divisor functions김대열, 김애란, Li Yan대한수학회 · 대한수학회지2013 · 제50권 제2호
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