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Let
λ=13+23+33+.........+ρ3 (1≤ρ≤100).\lambda = 1^3+2^3+3^3+.........+\rho^3\ \ (1\leq\rho\leq100).λ=13+23+33+.........+ρ3 (1≤ρ≤100).
If the sum of all perfect square values of λ\lambdaλ is ζ,\zeta,ζ, what is the value of ⌊−ζ107⌋?\lfloor\frac{-\zeta}{10^7}\rfloor?⌊107−ζ⌋?
Also try A tribute to Ramanujan
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