The Riemann-Siegel expansion for the zeta function: high orders and remainders
From MaRDI portal
Publication:4854239
DOI10.1098/rspa.1995.0093zbMath0842.11030OpenAlexW2065347399WikidataQ56882665 ScholiaQ56882665MaRDI QIDQ4854239
Publication date: 28 July 1996
Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1995.0093
Riemann zeta functionexplicit computationshyperasymptoticsmultiplier functionterms of higher orderRiemann-Siegel expansion
Related Items
Uniform asymptotic approximations for incomplete Riemann zeta functions, High precision computation of Riemann’s zeta function by the Riemann-Siegel formula, I, On the Riemann–Siegel formula for the derivatives of the Hardy function, An approximate functional equation for the Riemann zeta function with exponentially decaying error, Spectral triples and \(\zeta\)-cycles, BC-system, absolute cyclotomy and the quantized calculus, New Computations of the Riemann Zeta Function on the Critical Line, Convergence acceleration via combined nonlinear-condensation transformations, An alternative to Riemann-Siegel type formulas, ON THE ACCURACY OF ASYMPTOTIC APPROXIMATIONS TO THE LOG-GAMMA AND RIEMANN–SIEGEL THETA FUNCTIONS, New approach to periodic orbit theory of spectral correlations, Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis, A generalization of the Riemann-Siegel formula, On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function
