Extensions of Three Theorems of Nagell

Type: Article

Publication Date: 2013-01-01

Citations: 2

DOI: https://doi.org/10.4064/ba61-3-1

Abstract

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

Locations

  • Bulletin of the Polish Academy of Sciences Mathematics - View - PDF

Similar Works

Action Title Year Authors
+ A generalization of a theorem of Nagell 2018 Yulu Feng
Shaofang Hong
Xiao Jiang
Qiuyu Yin
+ Note on a certain sums of integer parts 2001 Stanislav Jakubec
+ 99.03 Quick proofs that certain sums of fractions are not integers 2015 Nick Lord
+ Variants and generalizations 2016 Robert Tubbs
+ An extension of some previous results on generalized continued fractions 1945 Barney Bissinger
Fritz Herzog
+ PDF Chat A generalization of continued fractions 1944 Barney Bissinger
+ Extensions of Congruences of Glaisher and Nielsen Concerning Stirling Numbers 1990 F. T. Howard
+ Improvements and extensions of two theorems of Sarkozy 2012 Alex Rice
+ A Note on Sums of Powers of Integers 1961 David Allison
+ A Note on Sums of Powers of Integers 1962 L. Carlitz
+ Extending al-Karaji's Work on Sums of Odd Powers of Integers 2011 Hasan Ăśnal
Hakan Kursat Oral
+ Ten Often Ignored Applications of Rational–Number Concepts 1984 Zalman Usiskin
Max S. Bell
+ An Extension of Stirling Numbers 1996 David Branson
+ PDF Chat Conjectures Involving a Generalization of the Sums of Powers of Integers 2017 Andrei K. Svinin
+ Conjectures involving a generalization of the sums of powers of integers 2016 Andrei K. Svinin
+ Conjectures involving a generalization of the sums of powers of integers 2016 Andrei K. Svinin
+ Use of Continued Fractions and Algorithms Related to Them 2010 Friedrich L. Bauer
+ EXTENSIONS OF SOME THEOREMS OF ROBINSON AND GOLUSIN 1958 F. Jen
+ New generalizations of congruent numbers 2018 Tsubasa Ochiai
+ A family of continued fractions 2010 David Angell

Works That Cite This (0)

Action Title Year Authors

Works Cited by This (2)

Action Title Year Authors
+ PDF Chat Zur Arithmetik der Polynome 1922 Trygve Nagel
+ History of the theory of numbers 1919 L. E. Dickson