Skip to main content
MathOverflow

Return to Question

added 15 characters in body
Source Link
Martin Sleziak
Martin Sleziak
  • 4.7k
  • 4
  • 35
  • 40

Let $\delta>0$. I am interested in obtaining a bound for the sum $\sum_{1 \leq x_1, ..., x_n \leq N} lcm(x_1, ..., x_n)^{- \delta}$$\sum_{1 \leq x_1, ..., x_n \leq N} \operatorname{lcm}(x_1, ..., x_n)^{- \delta}$ where lcm denotes the lowest common multiple of the numbers. I would appreciate any comments and suggestions! Thank you very much.

Let $\delta>0$. I am interested in obtaining a bound for the sum $\sum_{1 \leq x_1, ..., x_n \leq N} lcm(x_1, ..., x_n)^{- \delta}$ where lcm denotes the lowest common multiple of the numbers. I would appreciate any comments and suggestions! Thank you very much.

Let $\delta>0$. I am interested in obtaining a bound for the sum $\sum_{1 \leq x_1, ..., x_n \leq N} \operatorname{lcm}(x_1, ..., x_n)^{- \delta}$ where lcm denotes the lowest common multiple of the numbers. I would appreciate any comments and suggestions! Thank you very much.

Source Link
Johnny T.
Johnny T.
  • 3.6k
  • 14
  • 29

How to bound $\sum_{1 \leq x_1, ..., x_n \leq N} lcm(x_1, ..., x_n)^{- \delta}$?

Let $\delta>0$. I am interested in obtaining a bound for the sum $\sum_{1 \leq x_1, ..., x_n \leq N} lcm(x_1, ..., x_n)^{- \delta}$ where lcm denotes the lowest common multiple of the numbers. I would appreciate any comments and suggestions! Thank you very much.