The triangular theorem of eight and representation by quadratic polynomials

DOI10.1090/S0002-9939-2012-11419-4zbMath1281.11030arXiv0905.3594MaRDI QIDQ4910760

Ben Kane, Wieb Bosma

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3594

zbMATH Keywords

quadratic formstriangular numberssums of odd squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Representation problems (11D85)

Related Items (max. 100)

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

Cites Work

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• La conjecture de Weil. I
• Über die analytische Theorie der quadratischen Formen
• Representing Sets with Sums of Triangular Numbers
• A Short Proof of Cauchy's Polygonal Number Theorem

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