Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$

DOI10.4064/aa200630-1-6zbMath1491.11037arXiv2006.04490OpenAlexW3033752774MaRDI QIDQ5065981

Daejun Kim

Publication date: 23 March 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04490

zbMATH Keywords

Diophantine equationsgeneralized polygonal numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic forms over global rings and fields (11E12) Quadratic forms over local rings and fields (11E08)

Related Items (2)

TIGHT UNIVERSAL TRIANGULAR FORMS ⋮ Universal sums of generalized heptagonal numbers

Cites Work

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• A result similar to Lagrange's theorem
• Universal sums of generalized octagonal numbers
• Universal sums of generalized pentagonal numbers
• Fermat's polygonal number theorem for repeated generalized polygonal numbers
• The Integral Representations of Quadratic Forms Over Local Fields
• Sums of integers and sums of their squares
• A Short Proof of Cauchy's Polygonal Number Theorem
• Every Number is Expressible as the Sum of How Many Polygonal Numbers?
• Refinements of Lagrange’s Four-Square Theorem
• The triangular theorem of eight and representation by quadratic polynomials
• Sums of four polygonal numbers with coefficients
• Universal Sums of m-Gonal Numbers

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