TY - JOUR
T1 - Real moments of the restrictive factor
AU - Ledoan, Andrew
AU - Zaharescu, Alexandru
N1 - Funding Information:
The second author is supported in part by NSF grant number DMS-0456615.
PY - 2009/9
Y1 - 2009/9
N2 - Let λ be a real number such that 0 < λ < 1. We establish asymptotic formulas for the weighted real moments∑n≤x Rλ(n)(1-n/x), where R(n) = ∏kν=1 pαν-1ν is the Atanassov strong restrictive factor function and n = ∏kν=1 pανν is the prime factorization of n.
AB - Let λ be a real number such that 0 < λ < 1. We establish asymptotic formulas for the weighted real moments∑n≤x Rλ(n)(1-n/x), where R(n) = ∏kν=1 pαν-1ν is the Atanassov strong restrictive factor function and n = ∏kν=1 pανν is the prime factorization of n.
KW - Arithmetic functions
KW - Dirichlet Series
KW - Riemann zeta-function
KW - Strong restrictive factor
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U2 - 10.1007/s12044-009-0039-7
DO - 10.1007/s12044-009-0039-7
M3 - Article
AN - SCOPUS:74949083716
SN - 0253-4142
VL - 119
SP - 559
EP - 566
JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences
JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences
IS - 4
ER -