Geodesic
A General Turán Expression for the Zeta Function
Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 359-366

Voir la notice de l'article provenant de la source Cambridge University Press

In 1948 Gabor Szegő [9] gave four proofs of a remarkable inequality communicated to him by Paul Turán, who later published an original proof [10]. The Turán theorem states that if Pn(x) is the Le gendre polynomial, then 1.1 with equality holding only when |x| = 1.Since then many similar inequalities have been found for various special functions, particularly for the Legendre and Hermite polynomials. Reference may be had to the recent work of Danese [2] and Chatterjea [1]. Danese gives an extensive bibliography. 
A General Turán Expression for the Zeta Function. Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 359-366. doi: 10.4153/CMB-1963-030-2
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