Asymptotic formulas for certain arithmetic functions

In: Mathematica Slovaca, vol. 58, no. 3

M. Z. Garaev - Manfred Kühleitner - Florian Luca - Werner Georg Nowak

Detaily:

Rok, strany: 2008, 301 - 308

Kľúčové slová:

arithmetic function, divisor function, asymptotics, short interval

O článku:

This is an extended summary of a talk given by the last named author at the Czecho-Slovake Number Theory Conference 2005, held at Malenovice in September 2005. It surveys some recent results concerning asymptotics for a class of arithmetic functions, including, e.g., the second moments of the number-of-divisors function $d(n)$ and of the function $r(n)$ which counts the number of ways to write a positive integer as a sum of two squares. For the proofs, reference is made to original articles by the authors published elsewhere.

Ako citovať:

ISO 690:

Garaev, M., Kühleitner, M., Luca, F., Nowak, W. 2008. Asymptotic formulas for certain arithmetic functions. In Mathematica Slovaca, vol. 58, no.3, pp. 301-308. 0139-9918.

APA:

Garaev, M., Kühleitner, M., Luca, F., Nowak, W. (2008). Asymptotic formulas for certain arithmetic functions. Mathematica Slovaca, 58(3), 301-308. 0139-9918.