The Riemann zeta-function : theory and applications

By Aleksandar Ivic. 2003

323 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/898c18fa75e75be349f76b6364ad435f3f66d05b

Citations in the corpus

• Moments of random multiplicative functions, II: High moments (2018, unknown): “…m≤r f (m) ∣∣∣∣2, and noting that x/r − x/(r + 1) = x/(r(r + 1)) (x/r)2/3 on our range of r , a Hoheisel-type prime number theorem in short intervals (see, e.g., Theorem 12.8 of [Ivić 2003]) implies that ∑ x3/4 p≤x log p ∣∣∣∣ ∑ m≤x/p f (m) ∣∣∣∣2 ∑ r≤x1/4 (∫ x/r x/(r+1) 1 dt )∣∣∣∣∑ m≤r f (m)…”