지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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Atanassov introduced the irrational factor function and the strong restrictive factor function, which he de ned as I(n) = Y pα∥n p1=α and R(n) = Y pα∥n pα-1 in [2] and [3]. Various properties of these functions have been investi- gated by Alkan, Ledoan, Panaitopol, and the authors. In the prequel, we expanded these functions to a class of elements of PSL2(Z), and studied some of the properties of these maps. In the present paper we generalize the previous work by introducing real moments and considering a larger class of maps. This allows us to explore new properties of these arithmetic functions.
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참고문헌 (15)
참고문헌 신청
A. Ledoan / 2009 / Real moments of the restrictive factor / Proc. Indian Acad. Sci. Math. Sci 119 (4) : 559 ~ 566
A. Wal sz / 1963 / Weylsche Exponentialsummen in der neueren Zahlentheorie / VEB Deutsche Verlag der Wissenschaften
E. Alkan / 2008 / Zaharescu, Asymptotic behavior of the irrational factor / Acta Math. Hungar 121 (3) : 293 ~ 305
E. C. Titchmarsh / 1939 / The Theory of Functions / Oxford University Press
E. C. Titchmarsh / 1986 / The Theory of the Riemann Zeta-Function / The Clarendon Press Oxford University Press
A. Wal sz / 1963 / Weylsche Exponentialsummen in der neueren Zahlentheorie / VEB Deutsche Verlag der Wissenschaften
E. Alkan / 2008 / Zaharescu, Asymptotic behavior of the irrational factor / Acta Math. Hungar 121 (3) : 293 ~ 305
E. C. Titchmarsh / 1939 / The Theory of Functions / Oxford University Press
E. C. Titchmarsh / 1986 / The Theory of the Riemann Zeta-Function / The Clarendon Press Oxford University Press
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