The $p$-adic Order of Power Sums, the Erdös-Moser Equation, and Bernoulli Numbers

Jonathan Sondow, Emmanuel Tsukerman

Type: Preprint

Publication Date: 2014-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1401.0322

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Works That Cite This (3)

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+	On a conjecture of Schäffer concerning the equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mo>⋯</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:…	2015	Lajos Hajdu
+	On the Diophantine equation (x+ 1) + (x+ 2) + ... + (2x) =y	2017	Attila Bérczes István Pink Gamze Savaş Gökhan Soydan
+	Corrigendum to “On a conjecture of Schäffer concerning the equation 1 + ⋯ +x=y” [J. Number Theory 155 (2015) 129–138]	2016	Lajos Hajdu

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+	Giuga Numbers and the arithmetic derivative	2011	J. M. Grau Antonio M. Oller‐Marcén
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy
+	Generalizations of Carmichael numbers I	2013	Romeo Meštrović
+	Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012)	2011	Romeo Meštrović
+	The Equivalence of Giuga's and Agoh's Conjectures	2004	Bernd C. Kellner
+	How to differentiate a number	2003	Victor Ufnarovski Bo Åhlander
+ PDF Chat	On stronger conjectures that imply the Erdős–Moser conjecture	2011	Bernd C. Kellner
+ PDF Chat	On the Diophantine equation 1 =∑1<i>∕n</i><sub><i>i</i></sub>+ 1<i>∕</i>∏<i>n</i><sub><i>i</i></sub>and a class of homologically trivial complex surface singularities	1988	Lawrence Brenton Richard Hill
+	On certain properties of prime numbers	1851	Frederick Pollock
+	Giuga's Conjecture on Primality	1996	D. Borwein J. M. Borwein P. B. Borwein R. Girgensohn