Cultivar selection and processing methods are crucial tools for tailoring the physico-chemical properties and functionality of pea (<i>Pisum sativum</i> L.) protein ingredients. [PDF]
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A Study of Heights and Zeta Functions in Arithmetic Dynamics
A Study of Heights and Zeta Functions in Arithmetic Dynamicsopenaire
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The Riemann zeta function on arithmetic progressions and denseness properties
European Journal of Mathematics, 2023This paper concerns with the value distribution of the Riemann zeta function \(\zeta\) on arithmetic progressions of the type \((\zeta(s+ihn))_{n=1}^{\infty}\), where \(s\) is a complex number satisfying \(00}\). In this paper the author shows \begin{itemize} \item[(1)] Suppose \(1/20}\), \(l\in\mathbb{N}\) and \(\mathsf{M}\) be a subset of \(\mathbb{C}
Junghun Lee
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The values of the Riemann zeta-function on generalized arithmetic progressions
Archiv der Mathematik, 2018In the paper, the authors study the mean of the values of the zeta-function on some generalized arithmetic progressions on the critical line. More specifically, they consider the distribution of values of the zeta-function on generalized arithmetic progressions of the form $1/2+ i(\gamma+\delta_1m_1 +\dots +\delta_r m_r)$, where $\gamma$ is a real ...
Selin Selen Özbek, Jörn Steuding
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Universality theorems of Selberg zeta functions for arithmetic groups
The Quarterly Journal of MathematicsAbstract We prove a universality theorem for the Selberg zeta function of subgroups of $\mathrm{SL}_2(\mathbb{Z})$ or co-compact arithmetic groups derived from quaternion algebras, in the strip $\{5/6 \lt \mathrm{Re}{s} \lt 1\}$, improving the range compared with a previous work by Drungilas–Garunkštis–Kačenas.
Yasufumi Hashimoto
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Limit Heights and Special Values of the Riemann Zeta Function
Journal of Experimental Mathematics, 2023We study the distribution of the height of the intersection between the projective line defined by the linear polynomial x0 + x1 + x2 and its translate by a torsion point.
R. Gualdi, M. Sombra
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Arithmetical identities and zeta‐functions
Mathematische Nachrichten, 2010AbstractIn this paper we establish a class of arithmetical Fourier series as a manifestation of the intermediate modular relation, which is equivalent to the functional equation of the relevant zeta‐functions. One of the examples is the one given by Riemann as an example of a continuous non‐differentiable function.
Kanemitsu, Shigeru +2 more
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Interval Modeling of Zeta Converter Using Interval Arithmetic and Model Order Reduction
2022 Second International Conference on Power, Control and Computing Technologies (ICPC2T), 2022In this contribution, a method of interval modeling for the Zeta converter. The state-space averaging (SSA) technique is used to find the output to control the interval transfer function for the Zeta converter.
V. Meena, P. Naresh, Vinay Singh
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Asymptotic behaviors of some arithmetic function associated with the von Mangoldt function
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2023Some function associated with the von Mangoldt function is investigated. It is related to the logarithm of the Riemann zeta function. By means of probability theory, we show that this function is bounded above and below by a certain function.
Kouji Yamamuro
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