Density theorems and the mean value of arithmetical functions in short intervals

DOI10.1007/BF02439199zbMath0871.11061OpenAlexW2076317051MaRDI QIDQ1925329

V. A. Bykovskii

Publication date: 4 September 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02439199

zbMATH Keywords

normclass numberarithmetic functionssum of three squareserror term in the asymptotic formulashort interval sumszero-density estimate for \(L\)-functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (12)

Variations in the distribution of principally polarized abelian varieties among isogeny classes ⋮ Euler products of Selberg zeta functions in the critical strip ⋮ Selberg's zeta function for the modular group in the critical strip ⋮ Spectral decomposition formula and moments of symmetric square $L$-functions ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ Spectral exponential sums on hyperbolic surfaces ⋮ Bounds for a spectral exponential sum ⋮ A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) ‐FUNCTIONS ⋮ The sphere problem and the \(L\)-functions ⋮ The mean value of symmetric square \(L\)-functions ⋮ The second moment for counting prime geodesics ⋮ The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]

Cites Work

• Topics in multiplicative number theory
• Prime geodesic theorem.
• On the difference between consecutive primes
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