An exploration of Nathanson's \(g\)-adic representations of integers

DOI10.2140/involve.2022.15.727OpenAlexW4323065708MaRDI QIDQ2692973

A. Lawson, Dan Yasaki, C. Neil Pritchard, Gregory C. Bell

Publication date: 17 March 2023

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00809

zbMATH Keywords

Cayley graph\(g\)-adic representation

Mathematics Subject Classification ID

Geometric group theory (20F65) Elementary theory of partitions (11P81) Additive bases, including sumsets (11B13)

Cites Work

• The Magma algebra system. I: The user language
• Representing integers as linear combinations of powers
• Geometric group theory and arithmetic diameter
• PROBLEMS IN ADDITIVE NUMBER THEORY, IV: NETS IN GROUPS AND SHORTEST LENGTH g-ADIC REPRESENTATIONS
• Elliptic Curves and Primality Proving
• Not Every Number is the Sum or Difference of Two Prime Powers
• On integers not of the form ±𝑝^{𝑎}±𝑞^{𝑏}
• The ternary Goldbach problem
• Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸

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