Eugène Prouhet

Eugène Prouhet (* 1817 ; † August 1867 ) was a French mathematician . He taught at the École Polytechnique and was the editor of mathematical textbooks. His name is associated with the Prouhet-Thue-Morse sequence and the solution to the Prouhet-Tarry-Escott problem .

Life

Eugène Prouhet received his mathematical training a. a. with Charles-François Sturm . From 1851 (possibly earlier) until his death he worked as a lecturer in mathematics at the École Polytechnique in Paris .

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Prouhet is the author of 31 mathematical writings. From 1863 he was editor of the journal Nouvelles Annales de Mathématiques . After Sturm's death in 1855, Prouhet took over the editing of his standard textbooks Cours d'analysis and Cours de mécanique .

Prouhet is one of the namesake for a binary sequence of numbers , the Prouhet-Thue-Morse sequence , which has applications in several mathematical disciplines. If you write the sequence as decimal places of a binary number with 0 in front of the decimal point, you get the Prouhet-Thue-Morse constant . Prouhet used the sequence of numbers in solving a special case of Prouhet-Tarry-Escott's problem . His publication, published by the Académie des Sciences , was not rediscovered until 1948. This find led to the subsequent insertion of his name into the mathematical terms mentioned.

Web links

Thue-Morse Sequence Article on the Prouhet-Thue-Morse sequence on MathWorld .
Thue-Morse Constant Article on the Prouhet-Thue-Morse constant on MathWorld .
Prouhet-Tarry-Escott Problem Article on the Prouhet-Tarry-Escott problem on MathWorld .
Peter Borwein, Colin Ingalls: The Prouhet-Tarry-Escott Problem Revisited (PDF; 221 kB). Enseign. Math. Vol. 40 (1994), pp. 3-27.
Jean-Paul Allouche, Michel Mendès France: Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines . Monthly books for mathematics . Volume 155, Ed. 3-4 (2008), pp. 301-315.

Individual evidence

↑ Royal Society of London (ed.): Catalog of scientific papers . Vol. 5, pp. 30-31 and Vol. 8, pp. 669. CJ Clay and Sons, London 1867-1925.
^ Jean-Paul Allouche, Jeffrey Outlaw Shallit: The Ubiquitous Prouhet-Thue-Morse Sequence . In: Cunsheng Ding, Tor Helleseth, Harald Niederreiter (Ed.): Sequences and Their Applications . Proceedings of SETA '98 . Springer 1999, pp. 1-16.
↑ Prouhet-Thue-Morse constant (Engl.) Engl. Wikipedia. Retrieved October 4, 2012.
↑ Prouhet-Tarry-Escott problem (engl.) Engl. Wikipedia. Retrieved October 4, 2012.
^ Eugène Prouhet: Mémoire sur les relations entre les puissances des nombres . Comptes-Rendus de l'Académie des Sciences de Paris . Ser. 1, Vol. 33 (1851), p. 225.
^ Edward Maitland Wright: Prouhet's 1851 solution of the Tarry-Escott problem of 1910 . Amer. Math. Monthly . Vol. 66, No. 3 (1959), pp. 199-201.

personal data
SURNAME	Prouhet, Eugène
BRIEF DESCRIPTION	French mathematician
DATE OF BIRTH	1817
DATE OF DEATH	August 1867

[1] Royal Society of London (ed.): Catalog of scientific papers . Vol. 5, pp. 30-31 and Vol. 8, pp. 669. CJ Clay and Sons, London 1867-1925.

[2] Jean-Paul Allouche, Jeffrey Outlaw Shallit: The Ubiquitous Prouhet-Thue-Morse Sequence . In: Cunsheng Ding, Tor Helleseth, Harald Niederreiter (Ed.): Sequences and Their Applications . Proceedings of SETA '98 . Springer 1999, pp. 1-16.

[3] Prouhet-Thue-Morse constant (Engl.) Engl. Wikipedia. Retrieved October 4, 2012.

[4] Prouhet-Tarry-Escott problem (engl.) Engl. Wikipedia. Retrieved October 4, 2012.

[5] Eugène Prouhet: Mémoire sur les relations entre les puissances des nombres . Comptes-Rendus de l'Académie des Sciences de Paris . Ser. 1, Vol. 33 (1851), p. 225.

[6] Edward Maitland Wright: Prouhet's 1851 solution of the Tarry-Escott problem of 1910 . Amer. Math. Monthly . Vol. 66, No. 3 (1959), pp. 199-201.