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Albert Ingham (Northampton, 3 d'abril de 1900 - Vallorcine, 6 de setembre de 1967) va ser un matemàtic anglès.
, Albert Edward Ingham FRS (3 April 1900 – 6 September 1967) was an English mathematician.
, Albert Edward Ingham (Northampton, 3 de ab … Albert Edward Ingham (Northampton, 3 de abril de 1900 — Chamonix-Mont-Blanc, 6 de setembro de 1967) foi um matemático inglês. Frequentou a Stafford Grammar School e o Trinity College, Cambridge. Obteve o Ph.D. orientado por John Edensor Littlewood na Universidade de Cambridge. Ingham provou em 1937 que, se para alguma constante positiva c, então para qualquer θ > (1+4c)/(2+4c). Aqui ζ denota a função zeta de Riemann e π a função de contagem de números primos. Com o melhor valor de c conhecido na época, uma consequência imediata de seu trabalho foi que gn < pn5/8, sendo pn o n-ésimo número primo, com gn = pn+1 − pn denotando a diferença do n-ésimo número primo de seu sucessor.a do n-ésimo número primo de seu sucessor.
, Albert Edward Ingham (1900-1967) est un mathématicien britannique qui a travaillé en théorie analytique des nombres.
, Albert Edward Ingham (Northampton, 3 april … Albert Edward Ingham (Northampton, 3 aprile 1900 – Chamonix, 6 settembre 1967) è stato un matematico britannico. Svolse gli studi universitari a Cambridge a partire dal 1919, ottenendo poi il Ph.D. sotto la supervisione di John Littlewood. Insegnò per quattro anni all'università di Leeds, tornando poi a Cambridge. Fu eletto fellow della Royal Society nel 1945. Ingham lavorò nel campo della teoria analitica dei numeri, dimostrando alcuni risultati relativi alla distribuzione dei numeri primi e alla funzione zeta di Riemann. In particolare, migliorando un risultato di , provò che, denotato con pn l'n-esimo numero primo, la disuguaglianza vale per n sufficientemente grande e, se si assume l'ipotesi di Lindelöf, per ogni ε>0 la disuguaglianza più forte vale definitivamente. Nel 1926 provò la stima asintotica del quarto momento della funzione zeta di Riemann e cioè che per T che tende all'infinito. Nel 1942 ideò un metodo per confutare la congettura di Pólya, che fu poi utilizzato da nel 1958 per dimostrare l'esistenza di un controesempio. Il suo libro On the distribution of prime numbers, pubblicato nel 1932, è considerato un classico.icato nel 1932, è considerato un classico.
, Albert Edward Ingham (Northampton, 3 de abril de 1900 — Chamonix-Mont-Blanc, 6 de septiembre de 1967) fue un matemático británico.
, アルバート・エドワード・イングハム（英:Albert Edward Ingham、1900年4月3日 – 1967年9月6日）は、イギリスの数学者。
, Albert Edward Ingham (* 3. April 1900 in Northampton; † 6. September 1967 in Chamonix) war ein englischer Mathematiker, der sich mit analytischer Zahlentheorie und Analysis beschäftigte.
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| rdfs:comment |
Albert Edward Ingham (Northampton, 3 de ab … Albert Edward Ingham (Northampton, 3 de abril de 1900 — Chamonix-Mont-Blanc, 6 de setembro de 1967) foi um matemático inglês. Frequentou a Stafford Grammar School e o Trinity College, Cambridge. Obteve o Ph.D. orientado por John Edensor Littlewood na Universidade de Cambridge. Ingham provou em 1937 que, se para alguma constante positiva c, então para qualquer θ > (1+4c)/(2+4c). Aqui ζ denota a função zeta de Riemann e π a função de contagem de números primos. Com o melhor valor de c conhecido na época, uma consequência imediata de seu trabalho foi que gn < pn5/8,ata de seu trabalho foi que gn < pn5/8,
, Albert Edward Ingham (* 3. April 1900 in Northampton; † 6. September 1967 in Chamonix) war ein englischer Mathematiker, der sich mit analytischer Zahlentheorie und Analysis beschäftigte.
, Albert Edward Ingham (Northampton, 3 april … Albert Edward Ingham (Northampton, 3 aprile 1900 – Chamonix, 6 settembre 1967) è stato un matematico britannico. Svolse gli studi universitari a Cambridge a partire dal 1919, ottenendo poi il Ph.D. sotto la supervisione di John Littlewood. Insegnò per quattro anni all'università di Leeds, tornando poi a Cambridge. Fu eletto fellow della Royal Society nel 1945. vale per n sufficientemente grande e, se si assume l'ipotesi di Lindelöf, per ogni ε>0 la disuguaglianza più forte vale definitivamente. Nel 1926 provò la stima asintotica del quarto momento della funzione zeta di Riemann e cioè che della funzione zeta di Riemann e cioè che
, Albert Ingham (Northampton, 3 d'abril de 1900 - Vallorcine, 6 de setembre de 1967) va ser un matemàtic anglès.
, Albert Edward Ingham (1900-1967) est un mathématicien britannique qui a travaillé en théorie analytique des nombres.
, Albert Edward Ingham (Northampton, 3 de abril de 1900 — Chamonix-Mont-Blanc, 6 de septiembre de 1967) fue un matemático británico.
, Albert Edward Ingham FRS (3 April 1900 – 6 September 1967) was an English mathematician.
, アルバート・エドワード・イングハム（英:Albert Edward Ingham、1900年4月3日 – 1967年9月6日）は、イギリスの数学者。
|
| rdfs:label |
Albert Ingham
, アルバート・イングハム
, Albert E. Ingham
, Albert Edward Ingham
|
