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A generalisation of Turán's main theorems to binomials and logarithms

A generalisation of Turán's main theorems to binomials and logarithms

The Main Theorems of P. Turán's book Eine neue Methode in der Analysis und deren Anwendungen concern only sums of powers but are easily generalised to exponential sums with polynomial coefficients. It does not appear to have been observed however, that similar such theorems with analogous implication as to value …