Unpublished paper, 'On the extension of the principle of Fermat's theorem (of the polygonal numbers) to the higher orders of series whose ultimate differences are constant - with a new theorem proposed, applicable to all the orders' by Frederick Pollock
Reference number: AP/32/15
Date: December 1849
Description
Pollock attempts to ascertain whether the principle of Fermat’s theorem of the polygonal numbers may not be extended to all orders of series whose ultimate differences are constant.
Annotations in pencil throughout.
Subject: Mathematics / Calculus
Received 4 December 1849. Read 21 February 1850.
Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 5 of Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society] as 'On the extension of the principle of Fermat’s theorem of the polygonal numbers to the higher orders of series whose ultimate differences are constant. With a new theorem proposed, applicable to all the orders'.
- Reference number
- AP/32/15
- Earliest possible date
- December 1849
- Physical description
- Ink and graphite pencil on paper
- Page extent
- 24 pages
- Format
- Manuscript
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Citation
Jonathan Frederick Pollock, Unpublished paper, 'On the extension of the principle of Fermat's theorem (of the polygonal numbers) to the higher orders of series whose ultimate differences are constant - with a new theorem proposed, applicable to all the orders' by Frederick Pollock, December 1849, AP/32/15, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_32_15/unpublished-paper-on-the-extension-of-the-principle-of-fermats-theorem-of-the-polygonal-numbers-to-the-higher-orders-of-series-whose-ultimate-differences-are-constant-with-a-new-theorem-proposed-applicable-to-all-the-orders-by-frederick-pollock, accessed on 05 December 2024
Link to this record
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Related Publications
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Referee's report by George Peacock, on a paper 'On the extension of the principle of Fermat’s theorem of the polygonal numbers to the higher orders of series whose ultimate differences are constant. With a new theorem proposed, applicable to all the orders' by Jonathan Frederick Pollock
Creator: George Peacock Reference number: RR/2/188 -
Unpublished paper, 'On the mysteries of numbers alluded to by Fermat' by [Jonathan] Frederick Pollock
Creator: Jonathan Frederick Pollock Reference number: AP/48/7
Hierarchy
This item is part of:
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Archived papers: volume 32, scientific papers submitted the Royal Society unpublished or abstracted, 1849-1850
1849-1850 Reference number: AP/32
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Jonathan Frederick Pollock
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Archived Papers
Dates: 1768-1989
The 'Archived Papers' collection is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.View collection