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Pisot–Vijayaraghavan number

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In mathematics, a Pisot–Vijayaraghavan number, also called simply a Pisot number or a PV 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.

Pisot–Vijayaraghavan number - Wikipedia Jump to content From Wikipedia, the free encyclopedia Type of algebraic integer In mathematics , a Pisot–Vijayaraghavan number (or PV number ), also called simply a Pisot 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 probl

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