Claims

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1987_01_01_schinzel: Proves that the square of a polynomial with k nonzero terms has more than log log k over log 2 terms, so the minimum tends to infinity, answering the question yes; refereed in Acta Arithmetica, 1987.

2009_03_31_schinzel_zannier: Proves that the square of a polynomial with k nonzero terms has at least 2 plus log(k minus 1) over log 8 terms, so the minimum grows at least logarithmically; refereed in Rendiconti Lincei, 2009.

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