First editions of four major papers on Kummer’s theory of ideal prime factors - photo 1
First editions of four major papers on Kummer’s theory of ideal prime factors - photo 2
First editions of four major papers on Kummer’s theory of ideal prime factors - photo 3
First editions of four major papers on Kummer’s theory of ideal prime factors - photo 4
First editions of four major papers on Kummer’s theory of ideal prime factors - photo 5

First editions of four major papers on Kummer’s theory of ideal prime factors

Lot 30
02.02.2024 10:00UTC -04:00
Classic
Sold
$ 1 512
AuctioneerCHRISTIE'S
Event locationUSA, New York
Archive
The auction is completed. No bids can be placed anymore.
Archive
ID 1129648
Lot 30 | First editions of four major papers on Kummer’s theory of ideal prime factors
Estimate value
$ 500 – 800
KUMMER, Ernst Eduard (1810-1893). "Theorie der idealen Primfaktoren der complexen Zahlen, welche aus den Wurzeln der Gleichung w/n = 1 gebildet sind, wenn n eine zusammengesetzte Zahl ist," [With:] "Einige Sätze über die aus den Wurzeln der Gleichung (Alpha hoch-Lambda) = 1 gebildeten complexen Zahlen, für den Fall, dass die Klassenanzahl durch (Lambda) theilbar ist, nebst Anwendung derselben auf einen weiteren Beweis des letzten Fermatschen Lehrsatzes," [And:] "Über die allgemeinen Reciprocitätsgesetze unter den Resten und Nichtresten der Potenzen, deren Grad eine Primzahl ist," [And:] "Zwei neue Beweise der allgemeinen Reciprocitätsgesetze unter den Resten und Nichtresten der Potenzen, deren Grad eine Primzahl ist," all from Abhandlungen der Königl. Akademie der Wissenschaften zu Berlin, issues 1856, 1857, 1859, and 1861. Berlin, 1857-1862.

First editions of four major papers on Kummer’s theory of ideal prime factors in relation to Fermat’s Last Theorem. Kummer, a German mathematician and teacher, had realized that attempts to prove Fermat’s Last Theorem broke down because the unique factorization of integers did not extend to other rings of complex numbers; thus he sought to restore the uniqueness of factorization by introducing ‘ideal’ numbers. Not only have his papers been fundamental in work relating to Fermat’s Last Theorem, but the concept of an ideal enabled the development of ring theory and much of abstract algebra.

The Paris Academy of Sciences awarded Kummer the Grand Prize in 1857 for the second paper. In fact, the prize of 3000 francs was originally offered for a solution to Fermat’s Last Theorem—but when no solution was forthcoming, it was given to Kummer (even though he had not submitted an entry for the Prize). The third paper develops general reciprocity theory and prime factorization, and the last paper presents two new proofs of the general reciprocity theory.

Four volumes, quarto (c. 287 x 233mm). Original brown printed wrappers (occasional chipping, hinges just starting on 2 vols).
Address of auction CHRISTIE'S
20 Rockefeller Plaza
10020 New York
USA
Preview
26.01.2024 10:00 – 17:00
27.01.2024 10:00 – 17:00
28.01.2024 13:00 – 17:00
29.01.2024 10:00 – 17:00
30.01.2024 10:00 – 17:00
31.01.2024 10:00 – 17:00
Phone +1 212 636 2000
Fax +1 212 636 4930
Email
4FQ.AYGKAGLUQ@FO3G@
Conditions of purchaseConditions of purchase
Shipping Postal service
Courier service
pickup by yourself
Payment methods Wire Transfer
Business hoursBusiness hours
Mo 09:30 – 17:00   
Tu 09:30 – 17:00   
We 09:30 – 17:00   
Th 09:30 – 17:00   
Fr 09:30 – 17:00   
Sa closed
Su closed

Related terms

Frequently asked questions

First of all, you should register to be able to purchase at auction. After confirming your email address, enter your personal information in your user profile, such as your first name, last name, and mail address. Choose a lot from the upcoming auction and the maximum amount you want to place on it. After confirmation of your choice, we will send your application by e-mail to the appropriate auction house. If the auction house accepts a request, it will participate in the auction. You can view the current status of a bid at any time in your personal account in the "Bids" section.
Auctions are performed by auction houses and each of the auction houses describes their terms of auction. You can see the texts in the section "Auction information".
The results of the auction are published within a few days after the end of the auction. In the top menu of the site, find the tab "Auctions". Click on it and you will be on the auction catalog page, where you can easily find the category "Results". After opening it, select the desired auction from the list, enter and view the current status of the interested lot.
The information about the auction winners is confidential. The auction winner will receive a direct notification from the auction house responsible with instructions for further action: an invoice for payment and the manner in which the goods will be received.
Each of the auction houses has its own payment policy for the won lots. All auction houses accept bank transfers, most of them accept credit card payments. In the near future you will find detailed information for each case in the section "Auction information" on the page of the auction catalog and the lot.
Shipment of the won lot depends on its size. Small items can be delivered by post. Larger lots are sent by courier. Employees of the auction houses will offer you a wide range to choose from.
No. The archive serves as a reference for the study of auction prices, photographs and descriptions of works of art.
×
Save this search query and get timely email alerts! It is simple and very effective.
любов
Create a Search Subscription