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| Title: | Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4 |
| Authors: | Agarwal, Archit Garg, Meghali |
| Keywords: | Euler's Diophantine equation;Ramanujan taxicab number |
| Issue Date: | 2023 |
| Publisher: | World Scientific |
| Citation: | Singh, S., Agarwal, V., Sarma, T. K., & Mukherjee, T. K. (2023). Metal-free photocatalysis at charged aqueous interfaces: Boosting the photocatalytic oxidative coupling of arylamines to azoaromatics under ambient conditions. Green Chemistry. Scopus. https://doi.org/10.1039/d3gc03150k |
| Abstract: | Ramanujan, in his lost notebook, gave an interesting identity, which generates infinite families of solutions to Euler's Diophantine equation A3 + B3 = C3 + D3. In this paper, we produce a few infinite families of solutions to the aforementioned Diophantine equation as well as for the Diophantine equation A4 + B4 + C4 + D4 + E4 = F4 in the spirit of Ramanujan. © 2024 World Scientific Publishing Company. |
| URI: | https://doi.org/10.1142/S1793042124500283 https://dspace.iiti.ac.in/handle/123456789/12888 |
| ISSN: | 1793-0421 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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