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Relevant bibliographies by topics / Goldbach

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Academic literature on the topic 'Goldbach'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 March 2023

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Journal articles on the topic "Goldbach"

1

Zhou, Pingyuan, and Rong Ao. "Distribution of the Largest Strong Goldbach Numbers Generated by Primes." Journal of Mathematics Research 10, no. 5 (2018): 1. http://dx.doi.org/10.5539/jmr.v10n5p1.

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Using the first 4000000 primes to find Ln, the largest strong Goldbach number generated by the n-th prime Pn, we generalize a proposition in our previous work (Zhou 2017) and propose that Ln ≈ 2Pn and Ln/2Pn &lt; 1 for sufficiently large Pn but the limit of Ln/2Pn as n → ∞ is 1, Ln ≈ Pn + n log n and Ln/(Pn + n log n) &gt; 1 for sufficiently large Pn but the limit of Ln/(Pn + n log n) as n → ∞ is 1. There are five corollaries of the generalized proposition for getting Ln → ∞ as n → ∞, which is equivalent to Goldbach’s conjecture. If every step in distribution curve of Ln is called a Go

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Zhou, Pingyuan. "Strong Goldbach Number in Goldbach’s Problem." Journal of Mathematics Research 9, no. 6 (2017): 95. http://dx.doi.org/10.5539/jmr.v9n6p95.

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Based on the data we get, nlog n is acceptable approximation to A(Pn) for small Pn ( most of relative errors are on the order of 1%, 1‰ or 0.1‰ for Pn less than 2000 ), where Pn is the n-th prime for n ≥ 2 and A(Pn) = Ln − Pn but Ln is the largest strong Goldbach number generated by Pn. Thus we propose a proposition that A(Pn) ≈ nlog n for all Pn. To give indirect verification of the proposition for large Pn, we obtain an experimental formula for calculating the number of primes not greater than Pn relying on existence of A(Pn). Using the formula, our found relative errors are generally smalle

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3

Intriago Delgado, Yandry Marcelo. "Números primos; método gráfico de la conjetura de GOLDBACH." Revista Bases de la Ciencia. e-ISSN 2588-0764 3, no. 2 (2018): 77. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v3i2.1191.

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Mediante el uso de Microsoft Excel el siguiente trabajo examina las tablas de multiplicar desde una perspectiva distinta, con un método sencillo para encontrar la secuencia de los números primos en la línea continua de los números naturales , y así luego se identifican gráficamente los números que cumplen con la Conjetura de Goldbach, al realizar una triangulación con líneas que unen la series de los y ; siendo la notación: el cuadrado de los números naturales. A continuación, se trazan diagonales paralelas a las sucesiones y únicamente en cada elemento primo de la línea de los y así se obtien

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Intriago Delgado, Yandry. "Números primos; método gráfico de la conjetura de GOLDBACH." Revista Bases de la Ciencia. e-ISSN 2588-0764 3, no. 2 (2018): 77. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v3i2.1449.

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Mediante el uso de Microsoft Excel el siguiente trabajo examina las tablas de multiplicar desde una perspectiva distinta, con un método sencillo para encontrar la secuencia de los números primos en la línea continua de los números naturales , y así luego se identifican gráficamente los números que cumplen con la Conjetura de Goldbach, al realizar una triangulación con líneas que unen la series de los y ; siendo la notación: el cuadrado de los números naturales. A continuación, se trazan diagonales paralelas a las sucesiones y únicamente en cada elemento primo de la línea de los y así se obtien

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5

Feliksiak, Jan. "THE BINARY GOLDBACH CONJECTURE." JOHME: Journal of Holistic Mathematics Education 5, no. 2 (2021): 215. http://dx.doi.org/10.19166/johme.v5i2.4526.

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<p>The Goldbach Conjecture, one of the oldest problems in mathematics, has fascinated and inspired many mathematicians for ages. In 1742 German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler, proposed a conjecture. The modern-day version of the Binary/Strong Goldbach conjecture asserts that: Every even integer greater than 2 can be written as the sum of two primes. The conjecture had been verified empirically up to 4 × 1018, its proof however remains elusive, which seems to confirm that:</p><p><em>Some problems in mathematics remain buried dee

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6

Goldston, D. A. "Linnik's theorem on Goldbach numbers in short intervals." Glasgow Mathematical Journal 32, no. 3 (1990): 285–97. http://dx.doi.org/10.1017/s001708950000937x.

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The Goldbach conjecture states that every even number larger than 2 can be written as the sum of two primes. We shall therefore call an even number a Goldbach number if it can be written as the sum of two primes in at least one way. It has been known for a long time that almost all even numbers are Goldbach numbers. In fact, Montgomery and Vaughan [14] have shown that if E(N) denotes the number of even numbers less than or equal to N which are not Goldbach numbers, then there exists an absolute constant δ>0 such that

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7

Jianya, Liu, and Zhao Lilu. "Birch-Goldbach theorems." SCIENTIA SINICA Mathematica 51, no. 10 (2021): 1485. http://dx.doi.org/10.1360/ssm-2020-0344.

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Mrayyan, Salwa, Mosa Jawarneh, and Tamara Qublan. "Goldbach Conjecture Proof." Greener Journal of Science, Engineering and Technological Research 4, no. 2 (2014): 030–31. http://dx.doi.org/10.15580/gjsetr.2014.2.030614133.

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Machale, Des. "95.25 Goldbach variations." Mathematical Gazette 95, no. 533 (2011): 271–73. http://dx.doi.org/10.1017/s0025557200003028.

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10

Falbo, Clement E. "105.03 Almost Goldbach theorems." Mathematical Gazette 105, no. 562 (2021): 111–16. http://dx.doi.org/10.1017/mag.2021.16.

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Dissertations / Theses on the topic "Goldbach"

1

Malaquias, Maurício dos Santos Matos. "Bingo de Goldbach." Universidade Federal de Goiás, 2018. http://repositorio.bc.ufg.br/tede/handle/tede/8593.

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Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-06-21T11:05:12Z No. of bitstreams: 2 Dissertação - Maurício dos Santos Matos Malaquias - 2018.pdf: 2856630 bytes, checksum: a00fba48e864a23964adc8e7b38bb34b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-06-27T10:52:48Z (GMT) No. of bitstreams: 2 Dissertação - Maurício dos Santos Matos Malaquias - 2018.pdf: 2856630 bytes, checksum: a00fba48e864a23964adc8e7b38bb34b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e98

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Buttkewitz, Yvonne. "Untersuchungen zum Goldbach- und Zwillingsproblem." [S.l. : s.n.], 2007. http://nbn-resolving.de/urn:nbn:de:bsz:25-opus-46820.

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3

Man, Chi-wai, and 文志偉. "Some results of the almost Goldbach problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B29764166.

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Zhao, Lilu, and 赵立璐. "Some results on Waring-Goldbach type problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B4832954X.

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This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The second topic is about some additive problems involving fourth powers. The last topic is to consider an average result for the divisor problem in arithmetic progressions. Chapter 1 is an introduction. In Chapter 2 the Lagrange equation with almost prime variables is studied, based on a method of Heath-Brown and Tolev. The techniques involve the circle method and the sieve method in analytic number theory. It is established that every sufficiently large integer, congruent to 4 modulo 24, can be

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Dalpizol, Luiz Gustavo. "O conjunto excepcional do problema de Goldbach." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/180946.

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Seja E(X) a cardinalidade dos números pares menores ou iguais a X que não podem ser escritos como soma de dois primos. O objetivo central desta dissertação é apresentar uma demonstração de uma estimativa para E(X) dada por Hugh L. Montgomery e Robert C. Vaughan em [22]. Mais precisamente, estabeleceremos a existência de uma constante positiva (efetivamente computável) tal que E(X) X1 ; para todo X su cientemente grande.<br>Let E(X) the cardinality of even numbers not exceeding X which cannot be written as a sum of two primes. The main goal of this dissertation is to present a proof of an estim

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Man, Chi-wai. "Some results of the almost Goldbach problems /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B21583845.

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Pereira, Andressa de Lima. "Números primos e a conjectura de Goldbach." reponame:Repositório Institucional da UFABC, 2017.

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Orientador: Prof. Dr. Mauricio Firmino Silva Lima<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2017.<br>Este trabalho apresenta os números primos, para isso é abordado seu papel na história da matemática, verificando sua atual relevância para a criptografia, analisadas as principais propriedades e resultados e sugere uma sequência didática para abordar o tema com alunos da educação básica. Também, são discutidos os avanços obtidos no estudo da conjectura de Goldbach, a partir da análise de trabalhos

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ROSSI, ANTONELLA. "THE GOLDBACH-LINNIK PROBLEM: SOME CONDITIONAL RESULTS." Doctoral thesis, Università degli Studi di Milano, 2011. http://hdl.handle.net/2434/153102.

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This work concerns the Goldbach-Linnik problem, which is a variation of Goldbach's one: here the goal is to prove that all large even integers can be written as a sum of two primes and k powers of 2, where k is a fixed positive integer. Assuming the Generalized Riemann Hypothesis, first we prove two results on the size of the exceptional set of the Goldbach-Linnik problem, which is the set of the even integer that can not be written as a sum of two primes and k powers of 2. To do this first we analyze the size of the exceptional set in short intervals, which are intervals of type [N;N+H]

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9

Tse, Chun, and 謝進. "Some generalizations on the problem of non-Goldbach numbers." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31225238.

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Goldbach, Viola [Verfasser]. "Konzepte zur Erweiterung des walzbaren Geometriespektrums beim Ringwalzen / Viola Goldbach." Aachen : Shaker, 2011. http://d-nb.info/1069050326/34.

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Books on the topic "Goldbach"

1

Juškevič, Adolf P., and Judith Kh Kopelevič. Christian Goldbach 1690–1764. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-7382-6.

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I︠U︡shkevich, A. P. Christian Goldbach, 1690-1764. Birkhäuser, 1994.

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3

Schramm, Uwe. Clemens Botho Goldbach: Waldbodenunterschicht. GWK, 2007.

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4

Euler, Leonhard. Correspondence of Leonhard Euler with Christian Goldbach. Edited by Martin Mattmüller and Franz Lemmermeyer. Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0881-1.

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Euler, Leonhard. Correspondence of Leonhard Euler with Christian Goldbach. Edited by Martin Mattmüller and Franz Lemmermeyer. Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0893-4.

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6

Zio Petros e la congettura di Goldbach. Bompiani, 2000.

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Doxiadēs, Apostolos K. Zio Petros e la congettura di Goldbach. Tascabili Bompiani, 2001.

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8

Goldbach, Clemens Botho. Clemens Botho Goldbach: Codex : close to instant ruins. Verlag Kettler, 2015.

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1977-, Song Hao, ed. Po jie su shu ao mi: Gedebahe cai xiang yuan ti de zheng ming. Xi bei gong ye da xue chu ban she, 2008.

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Riedel, Inge. Die Einwohner von Aussen, Bettingen, Goldbach und Gresaubach vor 1815. Cardamina Verlag Susanne Breuel, 2015.

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Book chapters on the topic "Goldbach"

1

Karatsuba, Anatolij A., and Melvyn B. Nathanson. "The Goldbach Conjecture." In Basic Analytic Number Theory. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58018-5_10.

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2

Nathanson, Melvyn B. "The Shnirel’man-Goldbach theorem." In Additive Number Theory. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-3845-2_7.

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di Ciliberto, Ciro. "La congettura di Goldbach." In I numeri nel cuore. Springer Milan, 2008. http://dx.doi.org/10.1007/978-88-470-0714-7_6.

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4

Booth, David, and Renatus Ziegler. "On the Goldbach Conjecture." In Finsler Set Theory: Platonism and Circularity. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9031-1_18.

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Juškevič, Adolf P., and Judith Kh Kopelevič. "Christian Goldbach und Leonhard Euler." In Christian Goldbach 1690–1764. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-7382-6_8.

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Lemmermeyer, Franz, and Martin Mattmüller. "Correspondence with Christian Goldbach Translations." In Correspondence of Leonhard Euler with Christian Goldbach. Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0881-1_1.

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Décaillot, Anne-Marie. "Cantor und die Goldbach-Vermutung." In Cantor und die Franzosen. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14869-9_5.

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Juškevič, Adolf P., and Judith Kh Kopelevič. "Ein fahrender Scholar." In Christian Goldbach 1690–1764. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-7382-6_1.

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Juškevič, Adolf P., and Judith Kh Kopelevič. "Zu Hause und erneut auf Reisen." In Christian Goldbach 1690–1764. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-7382-6_2.

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Juškevič, Adolf P., and Judith Kh Kopelevič. "An der Petersburger Akademie der Wissenschaften." In Christian Goldbach 1690–1764. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-7382-6_3.

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Conference papers on the topic "Goldbach"

1

Al-Ameen, Talal, and Imad Muhi. "A Rudimentary Proof on Goldbach Conjectures." In 2022 IEEE 2nd International Conference on Information Communication and Software Engineering (ICICSE). IEEE, 2022. http://dx.doi.org/10.1109/icicse55337.2022.9828990.

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Sivaraman, Jyothsnaa. "Study of Structured Primes in Goldbach Partitions." In Annual International Conference on Computational Mathematics, Computational Geometry & Statistics. Global Science and Technology Forum (GSTF), 2012. http://dx.doi.org/10.5176/2251-1911_cmcgs56.

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Wang, Yu. "The Mathematical Modeling and Proof of the Goldbach Conjecture." In 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/msam-18.2018.6.

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Junchi, Li. "From the Goldbach Conjecture Cipher to the Han Ge CODE." In 2019 IEEE 4th International Conference on Big Data Analytics (ICBDA). IEEE, 2019. http://dx.doi.org/10.1109/icbda.2019.8712839.

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Budiman, Mohammad Andri, Dian Rachmawati та Afifah Rianti. "A Cryptocompression System Using AAβ Algorithm and Goldbach G1 Codes". У 2021 International Conference on Data Science, Artificial Intelligence, and Business Analytics (DATABIA). IEEE, 2021. http://dx.doi.org/10.1109/databia53375.2021.9650166.

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Stekel, Avigail, Merav Shukrun, and Amos Azaria. "Goldbach's Function Approximation Using Deep Learning." In 2018 IEEE/WIC/ACM International Conference on Web Intelligence (WI). IEEE, 2018. http://dx.doi.org/10.1109/wi.2018.00-46.

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Liang, Zhiqing, Xing Zheng, Guanting Li, Ziji Liu, Yadong Jiang, and Tao Wang. "High Absorption of Goldblack Film for a pyroelectric detector based on ultra-thin LiTaO₃ crystal." In 2021 46th International Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-THz). IEEE, 2021. http://dx.doi.org/10.1109/irmmw-thz50926.2021.9566899.

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Sullivan, Anthony, Anil Saigal, Roselita Fragoudakis, Michael A. Zimmerman, and Arash Ahmadzadegan. "Quantifying the Directionality of Liquid Crystalline Polymers in Extrusion Processes Using an Order Parameter." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52658.

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Liquid crystalline polymers (LCPs) are among a high-performance class of materials, which derive unique mechanical, chemical, and electrical characteristics from their long-range molecular order. The evolution of anisotropic orientation in the LCP microstructure during processing, however, can adversely affect the macroscopic polymer behavior. Simulation of this anisotropy is crucial to the design of manufacturing processes producing the desired material properties, and the ability to quantify the polymer directionality is a necessary metric of the model. Using a Monte-Carlo approach introduce

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Reports on the topic "Goldbach"

1

Friedland, Gerald. On the Goldbach Conjecture. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1476233.

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Friedland, G. On the Goldbach Conjecture. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1417954.

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Sherer, Brett M. Supplement Analysis for the Transmission System Vegetation Management Program FEIS (DOE/EIS-0285/SA-134-Bandon-Rogue-GoldBeach). Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/824208.

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