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Academic literature on the topic 'Zeta'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

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Journal articles on the topic "Zeta"

1

Лауринчикас, Антанас, and Antanas Laurinčikas. "О совместной универсальности дзета-функций Римана и Гурвица." Matematicheskie Zametki 111, no. 4 (2022): 551–60. http://dx.doi.org/10.4213/mzm13259.

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В 2007 г. Г. Мишу доказал теорему универсальности о совместном приближении пары аналитических функций сдвигами $(\zeta(s+i\tau),\zeta(s+i\tau,\alpha))$ дзета-функции Римана и дзета-функции Гурвица с трансцендентным параметром $\alpha$. В статье получена аналогичная теорема о приближении сдвигами $$ (\zeta_{u_N}(s+ikh_1),\zeta_{u_N}(s+ikh_2,\alpha)),\qquad k\in\mathbb{N}\cup\{0\},\quad h_1,h_2>0, $$ где $\zeta_{u_N}(s)$ и $\zeta_{u_N}(s,\alpha)$ - абсолютно сходящиеся ряды Дирихле и при $N\to\infty$ в среднем стремятся к $\zeta(s)$ и $\zeta(s,\alpha)$ соответственно. Библиография: 11 названий.

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Зудилин, Вадим Валентинович, and Wadim Valentinovich Zudilin. "Одно из чисел $\zeta(5), \zeta(7), \zeta(9), \zeta(11)$ иррационально." Uspekhi Matematicheskikh Nauk 56, no. 4 (2001): 149–50. http://dx.doi.org/10.4213/rm427.

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Зудилин, Вадим Валентинович, and Wadim Valentinovich Zudilin. "Одно из восьми чисел $\zeta(5),\zeta(7),…,\zeta(17),\zeta(19)$ иррационально." Matematicheskie Zametki 70, no. 3 (2001): 472–76. http://dx.doi.org/10.4213/mzm759.

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Balčiūnas, Aidas, Mindaugas Jasas, and Audronė Rimkevičienė. "A DISCRETE VERSION OF THE MISHOU THEOREM RELATED TO PERIODIC ZETA-FUNCTIONS." Mathematical Modelling and Analysis 29, no. 2 (March 26, 2024): 331–46. http://dx.doi.org/10.3846/mma.2024.19502.

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In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts $\zeta_{u_N}(s+ikh_1; \ga)$ and $\zeta_{u_N}(s+ikh_2, \alpha; \gb)$ of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence $\ga$, and the periodic Hurwitz zeta-function, respectively. We suppose that $u_N\to\infty$ and $u_N\ll N^2$ as $N\to\infty$, and the set $\{(h_1\log p:\! p\in\! \PP), (h_2\log(m+\alpha): m\in \NN_0), 2\pi\}$ is linearly independent over $\QQ$.

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Lambert, Joseph B., Lourdes A. Salvador, and Charlotte L. Stern. "The .zeta.(Zeta) effect of tin." Journal of Organic Chemistry 58, no. 20 (September 1993): 5428–33. http://dx.doi.org/10.1021/jo00072a027.

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Hernández-Eliseo, Yessica, Josué Ramírez-Ortega, and Francisco G. Hernández-Zamora. "Toeplitz operators on two poly-Bergman-type spaces of the Siegel domain $ D_2 \subset \mathbb{C}^2 $ with continuous nilpotent symbols." AIMS Mathematics 9, no. 3 (2024): 5269–93. http://dx.doi.org/10.3934/math.2024255.

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<abstract><p>We studied Toeplitz operators acting on certain poly-Bergman-type spaces of the Siegel domain $ D_{2} \subset \mathbb{C}^{2} $. Using continuous nilpotent symbols, we described the $ C^* $-algebras generated by such Toeplitz operators. Bounded measurable functions of the form $ \tilde{c}(\zeta) = c(\text{Im}\, \zeta_{1}, \text{Im}\, \zeta_{2} - |\zeta_1|^{2}) $ are called nilpotent symbols. In this work, we considered symbols of the form $ \tilde{a}(\zeta) = a(\text{Im}\, \zeta_1) $ and $ \tilde{b}(\zeta) = b(\text{Im}\, \zeta_2 -|\zeta_1|^{2}) $, where both limits $ \lim\limits_{s\rightarrow 0^+} b(s) $ and $ \lim\limits_{s\rightarrow +\infty} b(s) $ exist, and $ a $ belongs to the set of piece-wise continuous functions on $ \overline{\mathbb{R}} = [-\infty, +\infty] $ and with one-sided limits at $ 0 $. We described certain $ C^* $-algebras generated by such Toeplitz operators that turned out to be isomorphic to subalgebras of $ M_n(\mathbb{C}) \otimes C(\overline{\Pi}) $, where $ \overline{\Pi} = \overline{ \mathbb{R}} \times \overline{ \mathbb{R}}_+ $ and $ \overline{\mathbb{R}}_+ = [0, +\infty] $.</p></abstract>

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Lagarias, Jeffrey C., and Wen-Ching Winnie Li. "The Lerch zeta function I. Zeta integrals." Forum Mathematicum 24, no. 1 (January 2012): 1–48. http://dx.doi.org/10.1515/form.2011.047.

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Kurokawa, Nobushige, Masato Wakayama, and Yoshinori Yamasaki. "Milnor–Selberg zeta functions and zeta regularizations." Journal of Geometry and Physics 64 (February 2013): 120–45. http://dx.doi.org/10.1016/j.geomphys.2012.10.015.

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Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (October 1, 2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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Lai, Li, and Li Zhou. "At least two of $\zeta(5), \zeta(7), \ldots, \zeta(35)$ are irrational." Publicationes Mathematicae Debrecen 101, no. 3-4 (October 1, 2022): 353–72. http://dx.doi.org/10.5486/pmd.2022.9252.

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Dissertations / Theses on the topic "Zeta"

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TSUMURA, Hirofumi, Kohji MATSUMOTO, and Yasushi KOMORI. "Multiple zeta values and zeta-functions of root systems." 日本学士院The Japan Academy, 2011. http://hdl.handle.net/2237/20333.

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Mijović, Vuksan. "Multifractal zeta functions." Thesis, University of St Andrews, 2017. http://hdl.handle.net/10023/10637.

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Multifractals have during the past 20 − 25 years been the focus of enormous attention in the mathematical literature. Loosely speaking there are two main ingredients in multifractal analysis: the multifractal spectra and the Renyi dimensions. One of the main goals in multifractal analysis is to understand these two ingredients and their relationship with each other. Motivated by the powerful techniques provided by the use of the Artin-Mazur zeta-functions in number theory and the use of the Ruelle zeta-functions in dynamical systems, Lapidus and collaborators (see books by Lapidus & van Frankenhuysen [32, 33] and the references therein) have introduced and pioneered use of zeta-functions in fractal geometry. Inspired by this development, within the past 7−8 years several authors have paralleled this development by introducing zeta-functions into multifractal geometry. Our result inspired by this work will be given in section 2.2.2. There we introduce geometric multifractal zeta-functions providing precise information of very general classes of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra of ergodic Birkhoff averages of continuous functions. Results in that section are based on paper [37]. Dynamical zeta-functions have been introduced and developed by Ruelle [63, 64] and others, (see, for example, the surveys and books [3, 54, 55] and the references therein). It has been a major challenge to introduce and develop a natural and meaningful theory of dynamical multifractal zeta-functions paralleling existing theory of dynamical zeta functions. In particular, in the setting of self-conformal constructions, Olsen [49] introduced a family of dynamical multifractal zeta-functions designed to provide precise information of very general classes of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra of ergodic Birkhoff averages of continuous functions. However, recently it has been recognised that while self-conformal constructions provide a useful and important framework for studying fractal and multifractal geometry, the more general notion of graph-directed self-conformal constructions provide a substantially more flexible and useful framework, see, for example, [36] for an elaboration of this. In recognition of this viewpoint, in section 2.3.11 we provide main definitions of the multifractal pressure and the multifractal dynamical zeta-functions and we state our main results. This section is based on paper [38]. Setting we are working unifies various different multifractal spectra including fine multifractal spectra of self-conformal measures or Birkhoff averages of continuous function. It was introduced by Olsen in [43]. In section 2.1 we propose answer to problem of defining Renyi spectra in more general settings and provide slight improvement of result regrading multifractal spectra in the case of Subshift of finite type.

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White, J. V. V. "Zeta functions of groups." Thesis, University of Oxford, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365745.

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Reyes, Ernesto Oscar. "The Riemann zeta function." CSUSB ScholarWorks, 2004. https://scholarworks.lib.csusb.edu/etd-project/2648.

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The Riemann Zeta Function has a deep connection with the distribution of primes. This expository thesis will explain the techniques used in proving the properties of the Rieman Zeta Function, its analytic continuation to the complex plane, and the functional equation that the the Riemann Zeta Function satisfies.

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EGAMI, SHIGEKI, and KOHJI MATSUMOTO. "ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS." Cambridge University Press, 2002. http://hdl.handle.net/2237/10284.

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Firouzian, Bandpey Siamak. "Zeta functions of local orders." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=978669827.

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Andersson, Johan. "Summation formulae and zeta functions." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1074.

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Berman, Mark Nicholas. "Proisomorphic zeta functions of groups." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.424860.

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TSUMURA, HIROFUMI, KOHJI MATSUMOTO, and YASUSHI KOMORI. "ZETA-FUNCTIONS OF ROOT SYSTEMS." World Scientific Publishing, 2006. http://hdl.handle.net/2237/20355.

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Juchmes, Franziska. "Zeta Functions and Riemann Hypothesis." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-32363.

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In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes and the connection between primes andzeta functions are discussed. Numerical results for linear combinationsof zeta functions are presented. These functions have a symmetric dis-tribution of zeros around the critical line.

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Books on the topic "Zeta"

1

Ruales, Elizabeth Constaín. Zeta. Bogotá: Apidama Editores, 2003.

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Messingham, Simon. Zeta Major. London, UK: BBC Books, 1998.

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Voros, André. Zeta Functions over Zeros of Zeta Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-05203-3.

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McCarthy, Fiona Mary. The zeta waves. Yateley: Marzipan Books, 2007.

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5

Choi, Junesang, ed. Zeta and q-Zeta functions and associated series and integrals. Amsterdam: Elsevier, 2012.

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6

Keating, Jonathan P. Resummation and the turning-points of zeta function. Bristol [England]: Hewlett Packard, 1996.

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7

Laurinčikas, Antanas, and Ramūnas Garunkštis. The Lerch Zeta-function. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-6401-8.

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Ramūnas, Garunkštis, ed. The Lerch zeta-function. Dordrecht: Kluwer Academic Publishers, 2002.

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9

Aligrudić, Milorad. Zeta: Nekad i sad. Podgorica: Sabor Zete, 2012.

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10

Lilli, Laura. Zeta o le zie. Milano: Bompiani, 1989.

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Book chapters on the topic "Zeta"

1

Havil, Julian. "Zeta-Funktionen." In GAMMA, 49–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-48496-7_4.

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Williams, Floyd. "Zeta Regularization." In Topics in Quantum Mechanics, 317–20. Boston, MA: Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0009-3_16.

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Williams, Paul Melvyn. "Zeta Potential." In Encyclopedia of Membranes, 1–2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-40872-4_612-1.

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Rosenberg, Eric. "Zeta Dimension." In A Survey of Fractal Dimensions of Networks, 77–79. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-90047-6_11.

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Doty, David, Xiaoyang Gu, Jack H. Lutz, Elvira Mayordomo, and Philippe Moser. "Zeta-Dimension." In Mathematical Foundations of Computer Science 2005, 283–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11549345_25.

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Ohshima, Hiroyuki. "Zeta Potential." In Encyclopedia of Colloid and Interface Science, 1423–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-20665-8_162.

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Williams, Paul Melvyn. "Zeta Potential." In Encyclopedia of Membranes, 2063–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-44324-8_612.

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Lorenzini, Dino. "Zeta-functions." In Graduate Studies in Mathematics, 269–303. Providence, Rhode Island: American Mathematical Society, 1996. http://dx.doi.org/10.1090/gsm/009/09.

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Appleton, Kathryn M., Ian Cushman, Yuri K. Peterson, Balachandran Manavalan, Shaherin Basith, Sangdun Choi, Akihiro Kimura, et al. "IkB-zeta." In Encyclopedia of Signaling Molecules, 899. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4419-0461-4_100643.

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Goldschmidt, David M. "Zeta Functions." In Algebraic Functions and Projective Curves, 150–63. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/0-387-22445-9_5.

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Conference papers on the topic "Zeta"

1

He, Yuxiong, Sameh Elnikety, James Larus, and Chenyu Yan. "Zeta." In the Third ACM Symposium. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2391229.2391241.

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Ghavaminejad, Mahdi, Ebrahim Afjei, and Masoud Meghdadi. "Integrated Buck-Zeta Converter." In 2022 13th Power Electronics, Drive Systems, and Technologies Conference (PEDSTC). IEEE, 2022. http://dx.doi.org/10.1109/pedstc53976.2022.9767504.

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Tang, Wenlong. "Zeta functions with operator values." In Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), edited by Shi Jin and Wanyang Dai. SPIE, 2023. http://dx.doi.org/10.1117/12.2672713.

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Zahid, Yousef, Muhammad Amir, Saifullah Khan, and Carlos Alfaro. "Dual-Switch Quadratic Zeta Converter." In 2022 IEEE Texas Power and Energy Conference (TPEC). IEEE, 2022. http://dx.doi.org/10.1109/tpec54980.2022.9750713.

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Ayazi, Philip, Gabriel Monreal, Hassan Bleibel, Frank Zamora, and Larry Watters. "Stability of Chemically Degraded Friction Reducers and Their Relationship to Regain Conductivity." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/206308-ms.

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Abstract Previously, it was shown that zeta potential could be used as a metric to determine friction reducer (FR) performance. Specifically, the extent of and how quickly the FR reaches peak friction reduction in source water. A correlation postulated from the previous work is zeta potentials relationship to an FR's stability during mechanical or chemical degradation. In other words, can zeta potential be used as a metric to determine the extent of polymer breaking and can this relationship be translated to regained conductivity? This paper describes a laboratory study of zeta potential measurements to track breaker reaction rates, stability of broken polymer dispersions, and the relationship between chemical degradation of FRs and regained conductivity. The approach of this investigation involves measuring zeta potential of frac fluids formulated using anionic and cationic FRs with varying types and concentrations of breakers at different temperatures and times. These metrics are then correlated with regain conductivity. A quantitative relationship exists between zeta potential, fluid rheology, and regain conductivity. Zeta potential evaluation of degraded FR's in frac fluids correlate to performance in regain conductivity testing. These measurements can expedite the selection of chemical breakers with respect to performance. Zeta potential measurements of degraded FR are indicative of broken FR dispersion stability which has impact on regain conductivity. Tracking behavior of cationic FR's using zeta potential reveals the materials can become anionic with time and temperature and become susceptible to agglomeration with iron. Zeta potential measurements can be used during a chemical breaker selection process as a viable supplement to industry standard tests for assessing the comparative effectiveness of chemical breakers in frac fluids.

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Yen, Yu-shan, and Hsin-Chia Ho. "Calibration And Uncertainty Evaluation of a Zeta Potential Measuring system in CMS/ITRI, Taiwan." In NCSL International Workshop & Symposium. NCSL International, 2014. http://dx.doi.org/10.51843/wsproceedings.2014.29.

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Zeta potential is one of the important indicators to address the dispersion stability and toxicity of micro- and nano-materials. Due to the increasing importance in EHS (Environment, Health and Safety) related issues, there is an urgent need to build a standardized measuring system which provides reliable zeta potential values with appropriate traceability. This paper describes the detailed procedure of the calibration and uncertainty evaluation of the zeta potential measurement system in CMS/ITRI, Taiwan. Utilizing a commercial zeta potential analyzer manufactured by Malvern Instruments, the measurements are carried out with the electrophoretic light scattering technique according to “ISO 13099-2 Colloidal systems - methods for zeta potential determination, Part 2: optical methods”.

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Costa, G. A. T. F. Da. "Zeta function of a graph revisited." In CMAC Sul – Congresso de Matemática Aplicada e Computacional. SBMAC, 2014. http://dx.doi.org/10.5540/03.2014.002.01.0050.

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Xavier, G. Britto Antony, T. Sathinathan, and D. Arun. "Fractional order Riemann zeta factorial function." In SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019). Author(s), 2019. http://dx.doi.org/10.1063/1.5097535.

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GANGL, HERBERT, MASANOBU KANEKO, and DON ZAGIER. "DOUBLE ZETA VALUES AND MODULAR FORMS." In Proceedings of the Conference in Memory of Tsuneo Arakawa. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774415_0004.

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Ghavaminejad, Mahdi, Ebrahim Afjei, and Masoud Meghdadi. "Double-Input/Single-Output Zeta Converter." In 2021 12th Power Electronics, Drive Systems, and Technologies Conference (PEDSTC). IEEE, 2021. http://dx.doi.org/10.1109/pedstc52094.2021.9405917.

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Reports on the topic "Zeta"

1

Hasselbrink, Jr, E. R., M. C. Hunter, W. R. Even, Jr, and J. A. Irvin. Microscale Zeta Potential Evaluation Using Streaming Current Measurements. Office of Scientific and Technical Information (OSTI), May 2001. http://dx.doi.org/10.2172/784197.

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S. K. Griffiths and R. H. Nilson. Electroosmotic fluid motion and late-time solute transport at non-negligible zeta potentials. Office of Scientific and Technical Information (OSTI), December 1999. http://dx.doi.org/10.2172/751022.

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Paruchuri, M. R., D. L. Zhang, and T. B. Massalski. On the formation of {mu}- and {zeta}-phases in Ag-Al system by mechanical alloying. Office of Scientific and Technical Information (OSTI), September 1993. http://dx.doi.org/10.2172/10126168.

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Ramaye, Y., V. Kestens, J. Charoud-Got, S. Mazoua, G. Auclair, T. J. Cho, B. Toman, V. A. Hackley, and T. Linsinger. Certification of Standard Reference Material® 1992 / ERM®-FD305 Zeta Potential – Colloidal Silica (Nominal Mass Fraction 0.15 %). National Institute of Standards and Technology, November 2020. http://dx.doi.org/10.6028/nist.sp.260-208.

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Ramaye, Y., V. Kestens, J. Charoud-Got, S. Mazoua, G. Auclair, T. J. Cho, B. Toman, V. A. Hackley, and T. Linsinger. Certification of Standard Reference Material® 1993 / ERM®-FD306 Zeta Potential – Colloidal Silica (Nominal Mass Fraction 2.2 %). National Institute of Standards and Technology, November 2020. http://dx.doi.org/10.6028/nist.sp.260-209.

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Paruchuri, M. R., and T. B. Massalaski. Phase relationships and stability of the {mu}- and {zeta}-phases in the Ag-Al-X (X=Zn, Ga, Ge) systems. Office of Scientific and Technical Information (OSTI), September 1993. http://dx.doi.org/10.2172/10139691.

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Rocheford, Torbert, Yaakov Tadmor, Robert Lambert, and Nurit Katzir. Molecular Marker Mapping of Genes Enhancing Tocol and Carotenoid Composition of Maize Grain. United States Department of Agriculture, December 1995. http://dx.doi.org/10.32747/1995.7571352.bard.

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The overall objective of this research was to identify chromosomal regions and candidate genes associated with control of concentration and forms of carotenoids (includes pro-Vitamin A) and tocopherols (Vitamin E), which are both antioxidants and are associated with health advantages. Vitamin A and E are included in animal feeding supplements and the eventual goal is to increase levels of these compounds in maize grain so that the cost of these supplements can be reduced or eliminated. Moreover, both compounds are antioxidants that protect unsaturated fatty acids from oxidation and thus maintaining maize oil quality for longer periods. We identified three SSR markers that are associated with 38% of the variation for total carotenoids and three SSR markers associated with 44% of the variation for total tocopherols in the cross W64a x A632. We identified two candidate genes associated with levels of carotenoids: phytoene synthase and zeta carotene desaturase. Evaluation of (Illinois High Oil x B73) B73 BC 1S1 population for tocopherols detected additional chromosomal regions influencing the level of total tocopherols, and detected a common region on chromosome 5 associated with ratio of the more desirable alpha from to the gamma form of tocopherol. The results suggest molecular marker assisted selection for higher levels of these antioxidants in corn grain should be feasible.

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Anderson, Dane. Functional Markers in Zea mays L. Ames (Iowa): Iowa State University, January 2021. http://dx.doi.org/10.31274/cc-20240624-772.

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Eudy, L., and M. Post. Zero Emission Bay Area (ZEBA) Fuel Cell Bus Demonstration Results: Third Report. Office of Scientific and Technical Information (OSTI), May 2014. http://dx.doi.org/10.2172/1134120.

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Eudy, Leslie, Matthew B. Post, and Matthew A. Jeffers. Zero Emission Bay Area (ZEBA) Fuel Cell Bus Demonstration Results: Sixth Report. Office of Scientific and Technical Information (OSTI), September 2017. http://dx.doi.org/10.2172/1390774.

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