Journal articles on the topic 'Diophantine equations'
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Bruno, Alexander Dmitrievich. "From Diophantine approximations to Diophantine equations." Keldysh Institute Preprints, no. 1 (2016): 1–20. http://dx.doi.org/10.20948/prepr-2016-1.
Full textAggarwal, S., and S. Kumar. "On the Exponential Diophantine Equation (132m) + (6r + 1)n = z2." Journal of Scientific Research 13, no. 3 (September 1, 2021): 845–49. http://dx.doi.org/10.3329/jsr.v13i3.52611.
Full textSrinivasa Rao, K., T. S. Santhanam, and V. Rajeswari. "Multiplicative Diophantine equations." Journal of Number Theory 42, no. 1 (September 1992): 20–31. http://dx.doi.org/10.1016/0022-314x(92)90105-x.
Full textChoudhry, Ajai. "Symmetric Diophantine Equations." Rocky Mountain Journal of Mathematics 34, no. 4 (December 2004): 1281–98. http://dx.doi.org/10.1216/rmjm/1181069800.
Full textHajdu, L., and Á. Pintér. "Combinatorial Diophantine equations." Publicationes Mathematicae Debrecen 56, no. 3-4 (April 1, 2000): 391–403. http://dx.doi.org/10.5486/pmd.2000.2179.
Full textCohn, J. H. E. "Twelve diophantine equations." Archiv der Mathematik 65, no. 2 (August 1995): 130–33. http://dx.doi.org/10.1007/bf01270690.
Full textTahiliani, Dr Sanjay. "More on Diophantine Equations." International Journal of Management and Humanities 5, no. 6 (February 28, 2021): 26–27. http://dx.doi.org/10.35940/ijmh.l1081.025621.
Full textVălcan, Teodor Dumitru. "From Diophantian Equations to Matrix Equations (III) - Other Diophantian Quadratic Equations and Diophantian Equations of Higher Degree." Educatia 21, no. 25 (November 30, 2023): 167–77. http://dx.doi.org/10.24193/ed21.2023.25.18.
Full textAcewicz, Marcin, and Karol Pąk. "Basic Diophantine Relations." Formalized Mathematics 26, no. 2 (July 1, 2018): 175–81. http://dx.doi.org/10.2478/forma-2018-0015.
Full textBiswas, D. "Does the Solution to the Non-linear Diophantine Equation 3<sup>x</sup>+35<sup>y</sup>=Z<sup>2</sup> Exist?" Journal of Scientific Research 14, no. 3 (September 1, 2022): 861–65. http://dx.doi.org/10.3329/jsr.v14i3.58535.
Full textWang, Min, Peng Yang, and Yining Yang. "Carlitz’s Equations on Generalized Fibonacci Numbers." Symmetry 14, no. 4 (April 7, 2022): 764. http://dx.doi.org/10.3390/sym14040764.
Full textAlzer, Horst, and Florian Luca. "Diophantine equations involving factorials." Mathematica Bohemica 142, no. 2 (December 5, 2016): 181–84. http://dx.doi.org/10.21136/mb.2016.0045-15.
Full textKatayama, Shin-ichi, and Claude Levesque. "On simultaneous diophantine equations." Acta Arithmetica 108, no. 4 (2003): 369–77. http://dx.doi.org/10.4064/aa108-4-6.
Full textBabic, S. Bujacic, and K. Nabardi. "On some Diophantine equations." Miskolc Mathematical Notes 22, no. 1 (2021): 65. http://dx.doi.org/10.18514/mmn.2021.2638.
Full textLeitner, Dominik J. "Two exponential diophantine equations." Journal de Théorie des Nombres de Bordeaux 23, no. 2 (2011): 479–87. http://dx.doi.org/10.5802/jtnb.773.
Full textBrüdern, Jörg, and Rainer Dietmann. "Random Diophantine equations, I." Advances in Mathematics 256 (May 2014): 18–45. http://dx.doi.org/10.1016/j.aim.2014.01.017.
Full textStroeker, Roelof J., and Benjamin M. M. de Weger. "Elliptic binomial diophantine equations." Mathematics of Computation 68, no. 227 (February 23, 1999): 1257–82. http://dx.doi.org/10.1090/s0025-5718-99-01047-9.
Full textMollin, R. "Diophantine equations and congruences." International Journal of Algebra 1 (2007): 293–302. http://dx.doi.org/10.12988/ija.2007.07031.
Full textJakimczuk, Rafael. "Diophantine equations. Elementary methods." International Mathematical Forum 12 (2017): 429–38. http://dx.doi.org/10.12988/imf.2017.7223.
Full textBaica, Malvina. "Diophantine equations and identities." International Journal of Mathematics and Mathematical Sciences 8, no. 4 (1985): 755–77. http://dx.doi.org/10.1155/s0161171285000849.
Full textDofs, Erik. "Two exponential Diophantine equations." Glasgow Mathematical Journal 39, no. 2 (May 1997): 231–32. http://dx.doi.org/10.1017/s0017089500032122.
Full textHering, Christoph. "On the Diophantine Equations." Applicable Algebra in Engineering, Communication and Computing 7, no. 4 (June 1, 1996): 251–62. http://dx.doi.org/10.1007/s002000050031.
Full textDĄBROWSKI, ANDRZEJ. "ON A CLASS OF GENERALIZED FERMAT EQUATIONS." Bulletin of the Australian Mathematical Society 82, no. 3 (June 18, 2010): 505–10. http://dx.doi.org/10.1017/s000497271000033x.
Full textMaran, A. K. "A Simple Solution for Diophantine Equations of Second, Third and Fourth Power." Mapana - Journal of Sciences 4, no. 1 (September 12, 2005): 96–100. http://dx.doi.org/10.12723/mjs.6.17.
Full textSankari, Hasan, and Mohammad Abobala. "On The Group of Units Classification In 3-Cyclic and 4-cyclic Refined Rings of Integers And The Proof of Von Shtawzens' Conjectures." International Journal of Neutrosophic Science 21, no. 4 (2023): 146–54. http://dx.doi.org/10.54216/ijns.210414.
Full textChoudhry, Ajai. "A new method of solving certain quartic and higher degree diophantine equations." International Journal of Number Theory 14, no. 08 (August 22, 2018): 2129–54. http://dx.doi.org/10.1142/s1793042118501282.
Full textChen, Imin. "A Diophantine Equation Associated to X0(5)." LMS Journal of Computation and Mathematics 8 (2005): 116–21. http://dx.doi.org/10.1112/s1461157000000929.
Full textDas, Radhika, Manju Somanath, and V. A. Bindu. "INTEGER SOLUTION ANALYSIS FOR A DIOPHANTINE EQUATION WITH EXPONENTIALS." jnanabha 53, no. 02 (2023): 69–73. http://dx.doi.org/10.58250/jnanabha.2023.53208.
Full textUlas, Maciej. "Some experiments with Ramanujan-Nagell type Diophantine equations." Glasnik Matematicki 49, no. 2 (December 18, 2014): 287–302. http://dx.doi.org/10.3336/gm.49.2.04.
Full textAnuradha Kameswari, P., S. S. Sriniasarao, and A. Belay. "AN APPLICATION OF LINEAR DIOPHANTINE EQUATIONS TO CRYPTOGRAPHY." Advances in Mathematics: Scientific Journal 10, no. 6 (June 10, 2021): 2799–806. http://dx.doi.org/10.37418/amsj.10.6.8.
Full textWu, Yi, and Zheng Ping Zhang. "The Positive Integer Solutions of a Diophantine Equation." Applied Mechanics and Materials 713-715 (January 2015): 1483–86. http://dx.doi.org/10.4028/www.scientific.net/amm.713-715.1483.
Full textVansan, Alexandre Hungaro. "EQUAÇÕES DIOFANTINAS: UM PROJETO PARA A SALA DE AULA E O USO DO GEOGEBRA." Ciência e Natura 37 (August 7, 2015): 532. http://dx.doi.org/10.5902/2179460x14629.
Full textKulkarni, Manisha, and B. Sury. "Diophantine equations with Bernoulli polynomials." Acta Arithmetica 116, no. 1 (2005): 25–34. http://dx.doi.org/10.4064/aa116-1-3.
Full textGrytczuk, Aleksander, and Izabela Kurzydlo. "On some matrix diophantine equations." Tsukuba Journal of Mathematics 33, no. 2 (December 2009): 299–304. http://dx.doi.org/10.21099/tkbjm/1267209422.
Full textAAAVoloch, José Felipe. "Commitment schemes and diophantine equations." Open Book Series 4, no. 1 (December 29, 2020): 1–5. http://dx.doi.org/10.2140/obs.2020.4.1.
Full textKimura, Noriaki, and Kenneth S. Williams. "Infinitely Many Insolvable Diophantine Equations." American Mathematical Monthly 111, no. 10 (December 2004): 909. http://dx.doi.org/10.2307/4145100.
Full textPocherevin, R. V. "Multidimensional system of Diophantine equations." Moscow University Mathematics Bulletin 72, no. 1 (January 2017): 41–43. http://dx.doi.org/10.3103/s0027132217010089.
Full textBrenner, J. L. "Book Review: Exponential Diophantine equations." Bulletin of the American Mathematical Society 25, no. 1 (July 1, 1991): 145–47. http://dx.doi.org/10.1090/s0273-0979-1991-16048-9.
Full textMagyar, Akos. "Diophantine equations and ergodic theorems." American Journal of Mathematics 124, no. 5 (2002): 921–53. http://dx.doi.org/10.1353/ajm.2002.0029.
Full textKreso, Dijana, and Csaba Rakaczki. "Diophantine equations with Euler polynomials." Acta Arithmetica 161, no. 3 (2013): 267–81. http://dx.doi.org/10.4064/aa161-3-5.
Full textBuhanan, David, and Jaroslaw Kwapisz. "Cocyclic subshifts from Diophantine equations." Dynamical Systems 29, no. 1 (November 5, 2013): 56–66. http://dx.doi.org/10.1080/14689367.2013.844225.
Full textKimura, Noriaki, and Kenneth S. Williams. "Infinitely Many Insolvable Diophantine Equations." American Mathematical Monthly 111, no. 10 (December 2004): 909–13. http://dx.doi.org/10.1080/00029890.2004.11920157.
Full textBerend, Daniel, and Jørgen E. Harmse. "On polynomial-factorial diophantine equations." Transactions of the American Mathematical Society 358, no. 4 (October 21, 2005): 1741–79. http://dx.doi.org/10.1090/s0002-9947-05-03780-3.
Full textHalter-Koch, Franz. "Diophantine equations of Pellian type." Journal of Number Theory 131, no. 9 (September 2011): 1597–615. http://dx.doi.org/10.1016/j.jnt.2011.02.005.
Full textDanilov, L. V. "Diophantine equations xm?Ayn=k." Mathematical Notes of the Academy of Sciences of the USSR 46, no. 6 (December 1989): 914–19. http://dx.doi.org/10.1007/bf01158625.
Full textCook, Brian, and Ákos Magyar. "Diophantine equations in the primes." Inventiones mathematicae 198, no. 3 (April 23, 2014): 701–37. http://dx.doi.org/10.1007/s00222-014-0508-1.
Full textMollin, R. A. "Diophantine equations and class numbers." Journal of Number Theory 24, no. 1 (September 1986): 7–19. http://dx.doi.org/10.1016/0022-314x(86)90053-3.
Full textKrasikov, I., and Y. Roditty. "Switching reconstruction and diophantine equations." Journal of Combinatorial Theory, Series B 54, no. 2 (March 1992): 189–95. http://dx.doi.org/10.1016/0095-8956(92)90050-8.
Full textStephan Ramon Garcia, Vincent Selhorst-Jones, Daniel E. Poore, and Noah Simon. "Quotient Sets and Diophantine Equations." American Mathematical Monthly 118, no. 8 (2011): 704. http://dx.doi.org/10.4169/amer.math.monthly.118.08.704.
Full textJakimczuk, Rafael. "Diophantine equations. Elementary methods II." International Mathematical Forum 12, no. 20 (2017): 953–65. http://dx.doi.org/10.12988/imf.2017.71192.
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