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On higher-power moments of E(t)
2004
Acta Arithmetica
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Main result. Let ζ(s) denote the Riemann zeta-function. For t > 2, define Huxley [3]. We have the conjecture It is an important problem to study the upper bound of E(t). The latest result is which is supported by the mean square formula Tsang [9] studied the third-and fourth-power moments of E(t). He proved that the asymptotic formulas T 2 E 3 (t) dt = 6 7 (2π) −3/4 c 1 T 7/4 + O(T 7/4−δ 1 +ε ), (1.5) T 2
doi:10.4064/aa115-4-2
fatcat:l6exp7y2yje4bad72bqj44jsli