Arithmetic Progressions in the Values of a Quadratic Polynomial

DOI10.1080/00029890.2021.1977884zbMath1489.11017OpenAlexW3207936540MaRDI QIDQ5013367

Kittipong Subwattanachai, Prapanpong Pongsriiam

Publication date: 30 November 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2021.1977884

zbMATH Keywords

quadratic polynomialarithmetic progression

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Polynomials in number theory (11C08) Arithmetic progressions (11B25)

Cites Work

• On arithmetic progressions in recurrences -- a new characterization of the Fibonacci sequence
• Arithmetic progressions in the values of a quadratic polynomial
• Longest arithmetic progressions in reduced residue systems
• Arithmetic progressions in the least positive reduced residue systems
• The primes contain arbitrarily long arithmetic progressions
• On arithmetic progressions in Lucas sequences. II
• Arithmetic Progressions with Restricted Digits
• On arithmetic progressions in Lucas sequences
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