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Zero-Density Estimates for Epstein Zeta Functions* [PDF]
The Quarterly Journal of Mathematics, 2016 We investigate the zeros of Epstein zeta functions associated with a positive definite quadratic form with rational coefficients in the vertical strip $ σ_1 < \Re s < σ_2 $, where $ 1/2 < σ_1 < σ_2 < 1 $. When the class number of the quadratic form is bigger than 1, Voronin gives a lower bound and Lee gives an asymptotic formula for the ...
Gonek, Steven, Lee, Yoonbok
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Hecke–Siegel's pull-back formula for the Epstein zeta function with a harmonic polynomial [PDF]
, 2008 In this paper, we discuss the generalization of the Hecke's integration formula for the Epstein zeta functions. We treat the Epstein zeta function as an Eisenstein series come from a degenerate principal series.
Oda, Takayuki, Hiroe, Kazuki
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A new scale‐selective measure of curvature for meteorological fields
Quarterly Journal of the Royal Meteorological Society, EarlyView.We introduce a novel diagnostic called curvature using radial variation (CURV) that quantifies the local cyclonic or anticyclonic curvature of mean‐sea‐level pressure or geopotential height gridded fields over selected scales. A depiction of how CURV values relate to differing cyclonic curvature is shown in the figure.
Nigel Roberts +3 more
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Ramanujan series for Epstein zeta functions [PDF]
The Ramanujan Journal, 2015 Minor changes. An addendum to arXiv:1312.6352v4.
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Quarterly Journal of the Royal Meteorological Society, EarlyView.Numerical weather prediction output necessitates calibration, as weather model systems are unable to replicate the correct statistics of observations. Such processing is especially important when predicting extreme weather. Calibration methods function by learning from prediction inadequacies during a training phase and by exploiting this information ...
Dmitrij Japs +3 more
wiley +1 more source
On calculation of zeta function of integral matrix [PDF]
, 2009 summary:Values of the Epstein zeta function of a positive definite matrix and the knowledge of matrices with minimal values of the Epstein zeta function are important in various mathematical disciplines.
Janáček, Jiří
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Extension of a Bohr-Jessen type theorem for the Epstein zeta-function in short intervals
Mathematical Modelling and AnalysisLet $Q$ be a positive definite $n \times n$ matrix, $n \in 2\mathbb{N}$, $n \geqslant4$. The Epstein zeta-function $\zeta(s; Q)$, defined for $\mathrm{Re}\,s > \tfrac{n}{2}$, is given by $\zeta(s; Q) = \sum_{\underline{x} \in \mathbb{Z}^n \setminus ...
Aidas Balčiūnas +2 more
doaj +1 more source
Salient Rewards, Payoff Protocols and Biased Data
Southern Economic Journal, EarlyView.ABSTRACT Paying salient rewards to subjects is expensive. Is it worth it? We describe previous data from otherwise identical treatments with hypothetical or salient payoffs that indicate opposite conclusions about the central research question in a paper. If we are going to pay salient rewards, how should we? The answer depends on the theoretical model
James C. Cox, Vjollca Sadiraj
wiley +1 more source
Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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On a Class of Epstein Zeta Functions
Tokyo Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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