Problem

Show that when you substitute (3n + l)2 for each occur­rence of n and (3m + l)2 for each o...

Show that when you substitute (3n + l)2 for each occur­rence of n and (3m + l)2 for each occurrence of m in the right-hand side of the formula for the function f(m, n) in Exercise 77, you obtain a one-to-one polynomial func­tion Z × Z → Z. It is an open question whether there is a one-to-one polynomial function Q × Q → Q.

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