Results 81 to 90 of about 75,204 (223)
Inequalities for Riemann’s zeta function
Portugaliae Mathematica, 2009 Let ζ and Λ be the Riemann zeta function and the von Mangoldt function, respectively. Further, let c > 0
openaire +2 more sources
Journal of Time Series Analysis, EarlyView.ABSTRACT The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium‐to‐long‐run component of economic growth of a ...
Alessandro Giovannelli +2 more
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Extreme values of the Riemann zeta function on the 1-line [PDF]
, 2017 We prove that there are arbitrarily large values of $t$ such that $|\zeta(1+it)| \geq e^{\gamma} (\log_2 t + \log_3 t) + \mathcal{O}(1)$. This essentially matches the prediction for the optimal lower bound in a conjecture of Granville and Soundararajan ...
C. Aistleitner +2 more
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Inference on the Attractor Space via Functional Approximation
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT This paper discusses semiparametric inference on hypotheses on the cointegration and the attractor spaces for I(1)$$ I(1) $$ linear processes with moderately large cross‐sectional dimension. The approach is based on sample canonical correlations and functional approximation of Brownian motions, and it can be applied both to the whole system ...
Massimo Franchi, Paolo Paruolo
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Explicit zero density estimate for the Riemann zeta-function near the critical line
Journal of Mathematical Analysis and Applications, 2019 In 1946, A. Selberg proved $N(\sigma,T) \ll T^{1-\frac{1}{4} \left(\sigma-\frac{1}{2}\right)} \log{T}$ where $N(\sigma,T)$ is the number of nontrivial zeros $\rho$ of the Riemann zeta-function with $\Re\{\rho\}>\sigma$ and ...
A. Simonič
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Trace formula in noncommutative geometry and the zeros of the Riemann zeta function [PDF]
, 1998 . We give a spectral interpretation of the critical zeros of the Riemann zeta function as an absorption spectrum, while eventual noncritical zeros appear as resonances.
A. Connes
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Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Under the generalized Riemann hypothesis, we use Beurling–Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet L$L$‐functions for a large prime modulus q$q$. As applications, we give alternative proofs of several results on low‐lying zeros of L(s,χ)$L(s,\chi)$ and obtain a new lower bound on the proportion ...
Tianyu Zhao
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Joint universality of some zeta-functions. I
Lietuvos Matematikos Rinkinys, 2010 In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė +1 more
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Wild conductor exponents of curves
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
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Annalen der Physik, Volume 538, Issue 4, April 2026.The Prouhet‐Thue‐Morse (PTM) sequence emerges as a unifying thread across quantum error correction, noise‐resistant memories, spin‐chain dynamics, quantum chaos, and Dirichlet links to the Riemann zeta function. Mapping PTM‐encoded logical states onto qubit and qudit architectures uncovers symmetry‐protected resilience and multifractal signatures ...
Denis Janković +3 more
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