Diophantine equations with products of consecutive values of a quadratic polynomial

Shichun Yang, Alain Togbé, Bo He

Type: Article

Publication Date: 2011-05-24

Citations: 7

DOI: https://doi.org/10.1016/j.jnt.2011.03.006

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Locations

Journal of Number Theory - View

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+ PDF Chat	Prime powers dividing products of consecutive integer values of $$x^{2^n}+1$$	2019	Stephan Baier Pallab Kanti Dey

Works Cited by This (23)

Action	Title	Year	Authors
+	Autour de la fonction qui compte le nombre de nombres premiers	1998	Pierre Dusart
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol
+	A note on the products <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mi>μ</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mi>μ</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>⋯</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:…	2009	Erhan Gürel Ali Ulaş Özgür Kişisel
+	On Sums of Consecutive Squares	1997	Andrew Bremner R. J. Stroeker Nikos Tzanakis
+ PDF Chat	On a Diophantine Equation	1951	Péter L. Erdős
+	Diophantine equations with products of consecutive terms in Lucas sequences	2004	Florian Luca T. N. Shorey
+ PDF Chat	Lucas' square pyramid problem revisited	2002	Michael A. Bennett
+	Arithmetical properties of a sequence arising from an arctangent sum	2007	Tewodros Amdeberhan Luis A. Medina Victor H. Moll
+ PDF Chat	Squares in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>⋯</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>	2007	Javier Cilleruelo
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy