Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On a sum involving the Möbius function

100%

Kiuchi I., Minamide M., Tanigawa Y.

Acta Arithmetica

2015

tom 169

nr 2

149-168

Let $c_{q}(n)$ be the Ramanujan sum, i.e. $c_{q}(n) = ∑_{d|(q,n)} dμ(q/d)$, where μ is the Möbius function. In a paper of Chan and Kumchev (2012), asymptotic formulas for $∑_{n≤y}(∑_{q≤x} c_{q}(n))^{k}$ (k = 1,2) are obtained. As an analogous problem, we evaluate $∑_{n≤y}(∑_{n≤x} ĉ_{q}(n))^{k}$ (k = 1,2), where $ĉ_{q}(n) := ∑_{d|(q,n)}d|μ(q/d)|$.

On multiple Hurwitz zeta-function values at rational arguments

100%

Kanemitsu S., Tanigawa Y., Yoshimoto M.

Acta Arithmetica

2003

tom 107

nr 1

45-67

Ograniczanie wyników

2 Acta Arithmetica

2 Tanigawa Y.

1 Kanemitsu S.

1 Kiuchi I.

1 Minamide M.

1 Yoshimoto M.

1 2015

1 2003

Wyniki wyszukiwania

On a sum involving the Möbius function

On multiple Hurwitz zeta-function values at rational arguments