Mean values of multiplicative functions

DOI10.1023/A:1015202219630zbMath0980.11043MaRDI QIDQ5948362

Hugh L. Montgomery, Robert C. Vaughan

Publication date: 5 November 2001

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionmultiplicative functionsmean values

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (21)

On the lower bounds of the partial sums of a Dirichlet series ⋮ Zeros of partial sums of the Dedekind zeta function of a cyclotomic field ⋮ Une note sur la densité des zéros des sommes partielles de la fonction zeta de Dedekind sur un corps quadratique ⋮ Large odd order character sums and improvements of the Pólya-Vinogradov inequality ⋮ On multiplicative functions which are small on average ⋮ Completely multiplicative functions of sum zero ⋮ On the asymptotically uniform distribution of the zeros of the partial sums of the Riemann zeta function ⋮ Effective means for complex multiplicative functions ⋮ A note on Halász's theorem in \(\mathbb{F}_q[t\)] ⋮ \(a\)-points of partial sums of the Riemann zeta function ⋮ DIRICHLET TRUNCATIONS OF THE RIEMANN ZETA FUNCTION IN THE CRITICAL STRIP POSSESS ZEROS NEAR EVERY VERTICAL LINE ⋮ Zeros of Dirichlet polynomials ⋮ Zeros of partial sums of \(L\)-functions ⋮ Essential bounds of Dirichlet polynomials ⋮ On the non-isolation of the real projections of the zeros of exponential polynomials ⋮ Unnamed Item ⋮ A note on the real projection of the zeros of partial sums of Riemann zeta function ⋮ A new proof of Halász’s theorem, and its consequences ⋮ Local variation of Euler products ⋮ Pretentious multiplicative functions and the prime number theorem for arithmetic progressions ⋮ Statistical properties of friable integers

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