Euler's contribution to number theory

@article{Shiu2007EulersCT,  title={Euler's contribution to number theory},  author={Peter Shiu},  journal={The Mathematical Gazette},  year={2007},  volume={91},  pages={453 - 461},  url={https://api.semanticscholar.org/CorpusID:125064003}}
Individuals who excel in mathematics have always enjoyed a well deserved high reputation. Nevertheless, a few hundred years back, as an honourable occupation with means to social advancement, such an individual would need a patron in order to sustain the creative activities over a long period. Leonhard Euler (1707-1783) had the fortune of being supported successively by Peter the Great (1672-1725), Frederich the Great (1712-1786) and the Great Empress Catherine (1729-1791), enabling him to… 
3 Citations

3 Citations

94.03 Two squares and four squares: the simplest proof of all?

Proof From the observation made in the proof of Proposition 2, the number of ways we want is precisely the number of ways N can be written as a product of two positive integers A and B of equal…

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Im Abschn. 2.2 wurde die alteste bekannte zahlentheoretische Quelle erwahnt: die babylonische Tafel Plimpton 322 (ca. 1800 v. Chr.) mit einer Tabelle pythagoreischer Zahlentripel [18].

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Introduction to Analysis of the Infinite: Book I

fractal forgeries and the Mandelbrot set. Fascinating. "Return to Hyperion" takes a further look at Saturn's wayward moon and accounts for its motion by using the dynamics of chaos. Many puzzling…

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Protohistory.- Fermat and His Correspondents.- Euler.- An Age of Transition: Lagrange and Legendre.

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