Extensions of Three Theorems of Nagell

• Autorzy: Schinzel, A.
• Języki publikacji: EN

Abstrakty

EN

Three theorems of Nagell of 1923 concerning integer values of certain sums of fractions are extended.

Słowa kluczowe

EN

algebraic sum; arithmetic progression

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 3-4
• Strony: 195--200
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Schinzel, A.

• Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland,

Bibliografia

• [1] L. E. Dickson, History of the Theory of Numbers, Vol. 1, reprint, Chelsea, 1952.
• [2] T. Nagell, Zur Arithmetik der Polynome, Abh. Math. Sem. Hamburg 1 (1922), 179–194; also: Collected Papers of Trygve Nagell, Queen’s Univ., Kingston, 2002, 211–228.
• [3] T. Nagell, Eine Eigenschaft gewisser Summen, in: Zahlentheoretische Notizen III, Vid.-selsk. Kristiania Skrifter, Matem.-Naturv. Kl. (1923), no. 13, 10–15; also: Collected Papers of Trygve Nagell, Queen’s Univ., Kingston, 2002, 358–363.
• [4] J. J. Sylvester, On arithmetical series, Messenger Math. 21 (1891–2), 1–19; also: The Collected Papers of James Joseph Sylvester, Vol. 4 (1882–1897), Cambridge, at the Univ. Press, 1912, 687–703.

Identyfikatory

DOI

10.4064/ba61-3-1