Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 325-329.
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Abstract: Let p and q be two distinct primes, epq(n) denotes the largest exponent of power pq which divides n. In this paper, we study the mean value properties of function epq(n), and give some hybrid mean value formulas for epq(n) and Dirichlet divisor function d(n).
Key words: largest exponent, asymptotic formula, hybrid mean value, Dirichlet divisor function d(n)
CLC Number:
O156.4
REN Gang-lian. Some Hybrid Mean Values of a New Number Theoretic Function[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 325-329.
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https://sxjk.magtechjournal.com/EN/Y2008/V23/I3/325