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In the style of Herschel. (À la Herschel.) (French) Zbl 1366.11003

Summary: The author recalls how the mathematician Sir John Frederick William Herschel (1792–1871), son of astronomer with same patronymic, allows explicit calculation of the value of the partition function \(p(n)\) which counts the number of partitions of \(n\). Herschel uses a very special method, though simple, of series expansion. General methods and an example are treated.

MSC:

11-03 History of number theory
05-03 History of combinatorics
41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Herschel, John
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