On squares in polynomial products

Javier Cilleruelo, Florian Luca, Adolfo Quirós, Igor E. Shparlinski

Type: Article

Publication Date: 2008-10-01

Citations: 7

DOI: https://doi.org/10.1007/s00605-008-0066-y

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Locations

Monatshefte für Mathematik - View
DIGITAL.CSIC (Spanish National Research Council (CSIC)) - View - PDF

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+ PDF Chat	Powerful numbers in (1ℓ + qℓ)(2ℓ + qℓ)⋯(nℓ + qℓ)	2017	Quan-Hui Yang Qing-Qing Zhao
+	On the products (13+q3)(23+q3)⋯(n3+q3)	2017	Chuanze Niu Wenxin Liu
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Works Cited by This (14)

Action	Title	Year	Authors
+	Character sums and congruences with 𝑛!	2004	Moubariz Z. Garaev Florian Luca Igor E. Shparlinski
+ PDF Chat	The Number of Fields Generated by the Square Root of Values of a Given Polynomial	2003	Pamela Cutter Andrew Granville Thomas J. Tucker
+	On the lower bound of the linear complexity over F/sub p/ of Sidelnikov sequences	2006	M. Z. Garaev Florian Luca Igor E. Shparlinski Arne Winterhof
+	On quadratic fields generated by polynomials	2008	Florian Luca Igor E. Shparlinski
+ 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
+	The Chebotarev Density Theorem in Short Intervals and Some Questions of Serre	2001	Antal Balog Ken Ono
+ PDF Chat	Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields	2007	Florian Luca Igor E. Shparlinski
+	Catalan and Apéry numbers in residue classes	2005	Moubariz Z. Garaev Florian Luca Igor E. Shparlinski
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+ PDF Chat	The product of consecutive integers is never a power	1975	Paul Erdős J. L. Selfridge