P Present Dangers Joined Jan 12, 2025 Messages 1 Reaction score 0 Jan 12, 2025 #1 Let γ=Limit[Sum[k((k*t+(k-1))*(t+1)^1/k-(k*(t+1))*t^1/k)/((k-1)*t*(t+1)),{t,1,∞}],k->1], is it easier to see if γ∈ℚ?
Let γ=Limit[Sum[k((k*t+(k-1))*(t+1)^1/k-(k*(t+1))*t^1/k)/((k-1)*t*(t+1)),{t,1,∞}],k->1], is it easier to see if γ∈ℚ?
A Alonzo Joined Aug 14, 2024 Messages 25 Reaction score 3 Jan 13, 2025 #2 For those of us who are fluent in various math areas but not this one (whatever it is), could you please explain what the problem is? E.g., what is the gamma constant, and perhaps can your very dense limit expression be broken down a bit? Thanks.
For those of us who are fluent in various math areas but not this one (whatever it is), could you please explain what the problem is? E.g., what is the gamma constant, and perhaps can your very dense limit expression be broken down a bit? Thanks.