Results 61 to 70 of about 5,189,489 (227)
Moments of the Riemann zeta function [PDF]
Annals of Mathematics, 2009 Assuming the Riemann Hypothesis we obtain an upper bound for the moments of the Riemann zeta-function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in families of $L$-functions.
openaire +2 more sources
JEADV Clinical Practice, EarlyView.ABSTRACT Background Residual limb hyperhidrosis (RLH) is a frequent and debilitating condition among lower‐limb prosthetic users. Although aluminium chloride is recommended first‐line for focal hyperhidrosis, its efficacy in RLH has not previously been evaluated in prospective studies.
Jette Schack +3 more
wiley +1 more source
Faithfulness of actions on Riemann-Roch spaces
, 2015 Given a faithful action of a finite group G on an algebraic curve X of genus g > 1, we give explicit criteria for the induced action of G on the Riemann-Roch space H^0(X,O_X(D)) to be faithful, where D is a G-invariant divisor on X of degree at least ...
Koeck, Bernhard, Tait, Joseph
core +1 more source
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, EarlyView.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
The Nevanlinna Functions of the Riemann Zeta-Function
Journal of Mathematical Analysis and Applications, 1999 The author computes the Nevanlinna characteristic function, the Nevanlinna deficiencies for each \(a\) in \(\mathbb{C}\cup \{\infty\}\) and the Nevanlinna counting functions for the Riemann zeta-function. These results are of special interest because of the recent discovery of analogies between number theory and Nevanlinna theory.
openaire +2 more sources
On the Riemann hypothesis for the zeta function
, 2021 In this paper we address some variants for the products of Hadamard and Patterson. We prove that all zeros of the Riemann $\Xi$--function are real. We also prove that the Riemann hypothesis is true. The equivalence theorems associated with the Riemann zeta--function are obtained in detail.
openaire +4 more sources
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
A note on the Riemann ξ-function
Lietuvos Matematikos Rinkinys, 2000 We prove that for σ > 4.5, inf {ℜ(ξ'(σ + it)/ξ(σ + it) ) : - ∞ < t < ∞} = ξ'(σ)/ξ(σ). This improves the result obtained by Lagarias.
Ramūnas Garunkštis
doaj +3 more sources
On the zeros of the Riemann zeta-function [PDF]
Proceedings of the American Mathematical Society, 1969 Let \(s=\sigma + it\) with \(\sigma\) and \(t\) both real, and put \[ R(s) = \pi^{-s/2} \Gamma(s/2) \zeta(s),\] where \(\zeta(s)\) denotes the Riemann zeta-function. Then, the functional equation of \(\zeta(s)\) can be written as \(R(s) =R(1-s)\). \textit{B. Berlowitz} [Acta Arith.
openaire +2 more sources