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Roger Apéry

Roger Apéry (French: [apeʁi]; 14 November 1916, Rouen – 18 December 1994, Caen) was a French mathematician most remembered for Apéry's theorem, which states that ζ(3) is an irrational number. Here, ζ(s) denotes the Riemann zeta function.

Roger Apéry
Born(1916-11-14)14 November 1916
Died18 December 1994(1994-12-18) (aged 78)
NationalityFrench
EducationLycée Louis-le-Grand
Alma materÉcole normale supérieure
OccupationMathematician

Biography edit

Apéry was born in Rouen in 1916 to a French mother and Greek father. His childhood was spent in Lille until 1926, when the family moved to Paris, where he studied at the Lycée Ledru-Rollin and the Lycée Louis-le-Grand. He was admitted at the École normale supérieure in 1935. His studies were interrupted at the start of World War II; he was mobilized in September 1939, taken prisoner of war in June 1940, repatriated with pleurisy in June 1941, and hospitalized until August 1941. He wrote his doctoral thesis in algebraic geometry under the direction of Paul Dubreil and René Garnier in 1947.

In 1947 Apéry was appointed Maître de conférences (lecturer) at the University of Rennes. In 1949 he was appointed Professor at the University of Caen, where he remained until his retirement.

In 1979 he published an unexpected proof of the irrationality of ζ(3), which is the sum of the inverses of the cubes of the positive integers. An indication of the difficulty is that the corresponding problem for other odd powers remains unsolved. Nevertheless, many mathematicians have since worked on the so-called Apéry sequences to seek alternative proofs that might apply to other odd powers (Frits Beukers, Alfred van der Poorten, Marc Prévost, Keith Ball, Tanguy Rivoal, Wadim Zudilin, and others).

Apéry was active in politics and for a few years in the 1960s was president of the Calvados Radical Party of the Left. He abandoned politics after the reforms instituted by Edgar Faure after the 1968 revolt, when he realised that university life was running against the tradition he had always upheld.

Personal life edit

Apéry married in 1947 and had three sons, including mathematician François Apéry. His first marriage ended in divorce in 1971. He then remarried in 1972 and divorced in 1977.

In 1994, Apéry died from Parkinson's disease after a long illness in Caen. He was buried next to his parents at the Père Lachaise Cemetery in Paris. His tombstone has a mathematical inscription stating his theorem.

 

See also edit

External links edit

  • Apéry, François (1996). "Roger Apéry, 1916-1994: A Radical Mathematician". The Mathematical Intelligencer. 18 (2): 54–61. doi:10.1007/BF03027295. S2CID 120113351.

roger, apéry, french, apeʁi, november, 1916, rouen, december, 1994, caen, french, mathematician, most, remembered, apéry, theorem, which, states, that, irrational, number, here, denotes, riemann, zeta, function, born, 1916, november, 1916rouen, francedied18, d. Roger Apery French apeʁi 14 November 1916 Rouen 18 December 1994 Caen was a French mathematician most remembered for Apery s theorem which states that z 3 is an irrational number Here z s denotes the Riemann zeta function Roger AperyBorn 1916 11 14 14 November 1916Rouen FranceDied18 December 1994 1994 12 18 aged 78 Caen FranceNationalityFrenchEducationLycee Louis le GrandAlma materEcole normale superieureOccupationMathematician Contents 1 Biography 2 Personal life 3 See also 4 External linksBiography editApery was born in Rouen in 1916 to a French mother and Greek father His childhood was spent in Lille until 1926 when the family moved to Paris where he studied at the Lycee Ledru Rollin and the Lycee Louis le Grand He was admitted at the Ecole normale superieure in 1935 His studies were interrupted at the start of World War II he was mobilized in September 1939 taken prisoner of war in June 1940 repatriated with pleurisy in June 1941 and hospitalized until August 1941 He wrote his doctoral thesis in algebraic geometry under the direction of Paul Dubreil and Rene Garnier in 1947 In 1947 Apery was appointed Maitre de conferences lecturer at the University of Rennes In 1949 he was appointed Professor at the University of Caen where he remained until his retirement In 1979 he published an unexpected proof of the irrationality of z 3 which is the sum of the inverses of the cubes of the positive integers An indication of the difficulty is that the corresponding problem for other odd powers remains unsolved Nevertheless many mathematicians have since worked on the so called Apery sequences to seek alternative proofs that might apply to other odd powers Frits Beukers Alfred van der Poorten Marc Prevost Keith Ball Tanguy Rivoal Wadim Zudilin and others Apery was active in politics and for a few years in the 1960s was president of the Calvados Radical Party of the Left He abandoned politics after the reforms instituted by Edgar Faure after the 1968 revolt when he realised that university life was running against the tradition he had always upheld Personal life editApery married in 1947 and had three sons including mathematician Francois Apery His first marriage ended in divorce in 1971 He then remarried in 1972 and divorced in 1977 In 1994 Apery died from Parkinson s disease after a long illness in Caen He was buried next to his parents at the Pere Lachaise Cemetery in Paris His tombstone has a mathematical inscription stating his theorem 1 1 8 1 27 1 64 p q displaystyle 1 frac 1 8 frac 1 27 frac 1 64 cdots neq frac p q nbsp See also editApery s constant Basel problemExternal links editApery Francois 1996 Roger Apery 1916 1994 A Radical Mathematician The Mathematical Intelligencer 18 2 54 61 doi 10 1007 BF03027295 S2CID 120113351 van der Poorten Alfred 1979 A proof that Euler missed Apery s proof of the irrationality of z 3 The Mathematical Intelligencer 1 4 195 203 doi 10 1007 BF03028234 S2CID 121589323 Retrieved from https en wikipedia org w index php title Roger Apery amp oldid 1222486981, wikipedia, wiki, book, books, library,

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