Ternary universal sums of generalized polygonal numbers

DOI10.1142/S1793042119500350zbMath1456.11037arXiv1612.01157WikidataQ114071976 ScholiaQ114071976MaRDI QIDQ5376914

Jangwon Ju, Byeong-Kweon Oh, Bangnam Seo

Publication date: 21 May 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01157

zbMATH Keywords

generalized polygonal numbersternary universal sums

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)

Universal sums of generalized pentagonal numbers ⋮ Diagonal odd-regular ternary quadratic forms ⋮ Unnamed Item ⋮ Some universal quadratic sums over the integers ⋮ A generalization of Gauss' triangular theorem ⋮ Universal mixed sums of generalized 4- and 8-gonal numbers ⋮ PRIME-UNIVERSAL DIAGONAL QUADRATIC FORMS ⋮ Spinor representations of positive definite ternary quadratic forms

Cites Work

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• On universal sums of polygonal numbers
• Mixed sums of squares and triangular numbers. III
• An explicit formula for local densities of quadratic forms
• TERNARY UNIVERSAL SUMS OF GENERALIZED PENTAGONAL NUMBERS
• Spinor representations of positive definite ternary quadratic forms
• On some universal sums of generalized polygonal numbers
• Mixed sums of squares and triangular numbers
• On spinor exceptional representations
• Regular positive ternary quadratic forms

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