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Pisot–Vijayaraghavan number

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Pisot–Vijayaraghavan number

real algebraic integer >1, whose Galois conjugates all have absolute value <1.

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About Pisot–Vijayaraghavan number

In mathematics, a Pisot–Vijayaraghavan number is a real algebraic integer greater than 1, all of whose Galois conjugates are less than 1 in absolute value. These numbers were discovered by Axel Thue in 1912 and rediscovered by G. H. Hardy in 1919 within the context of Diophantine approximation. They became widely known after the publication of Charles Pisot's dissertation in 1938. They also occur in the uniqueness problem for Fourier series. Tirukkannapuram Vijayaraghavan and Raphael Salem continued their study in the 1940s. Salem numbers are a closely related set of numbers.

Facts from Wikidata (CC0). Image by Zilverspreeuw via Wikimedia Commons (CC BY-SA 4.0).

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