Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\)
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Publication:1336058
DOI10.1006/jnth.1994.1081zbMath0810.11046OpenAlexW2137218613MaRDI QIDQ1336058
D. R. Heath-Brown, Kai-Man Tsang
Publication date: 16 January 1995
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1994.1081
Related Items (21)
On some mean values for the divisor function and the Riemann zeta-function ⋮ The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms ⋮ Mean square of the remainder term in the Dirichlet divisor problem ⋮ A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip \(3/4\leq \sigma <1\) ⋮ Sign changes of \(\Delta_{(1)}(x)\) ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ Numerical investigation of the properties of remainder in Gauss's circle problem ⋮ Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function ⋮ Moments and oscillations of exponential sums related to cusp forms ⋮ On some problems involving Hardy's function ⋮ Bounds and behaviour of the quantities $ P(x)$, $ \Delta(x)$ on short intervals ⋮ Sign changes of the error term in Weyl’s law for Heisenberg manifolds ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ Omega result for the mean square of the Riemann zeta function ⋮ On the mean square formula of the error term in the Dirichlet divisor problem ⋮ On the Dirichlet divisor problem in short intervals ⋮ Circle problem and the spectrum of the Laplace operator on closed 2-manifolds ⋮ The number of Hecke eigenvalues of same signs ⋮ On Wigert's type divisor problem ⋮ EXPLICIT REPRESENTATIONS OF THE INTEGRAL CONTAINING THE ERROR TERM IN THE DIVISOR PROBLEM II
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