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A4

Part of 1971 Putnam

Problems(1)

Putnam 1971 A4

Source:

4/6/2022
Show that for 0<ϵ<10 <\epsilon <1 the expression (x+y)n(x2−(2−ϵ)xy+y2)(x+y)^n(x^2-(2-\epsilon)xy+y^2) is a polynomial with positive coefficients for nn sufficiently large and integral. For ϵ=.002\epsilon =.002 find the smallest admissible value of nn.
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