Universal sums of generalized pentagonal numbers

DOI10.1007/s11139-019-00142-3zbMath1458.11061arXiv1805.03434OpenAlexW2953330814MaRDI QIDQ2174285

Jangwon Ju

Publication date: 21 April 2020

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03434

zbMATH Keywords

generalized pentagonal numberspentagonal theorem of 109

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (8)

Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$ ⋮ TIGHT UNIVERSAL TRIANGULAR FORMS ⋮ The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma ⋮ On sums of four pentagonal numbers with coefficients ⋮ Universal sums of generalized heptagonal numbers ⋮ Fermat's polygonal number theorem for repeated generalized polygonal numbers ⋮ Conjectures of Sun about sums of polygonal numbers ⋮ TIGHT UNIVERSAL SUMS OF m-GONAL NUMBERS

Cites Work

• On universal sums of polygonal numbers
• A result similar to Lagrange's theorem
• Completely \(p\)-primitive binary quadratic forms
• Universal sums of generalized octagonal numbers
• TERNARY UNIVERSAL SUMS OF GENERALIZED PENTAGONAL NUMBERS
• Five regular or nearly-regular ternary quadratic forms
• The triangular theorem of eight and representation by quadratic polynomials
• Ternary universal sums of generalized polygonal numbers
• Regular positive ternary quadratic forms
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