Universal Sums of m-Gonal Numbers

DOI10.1093/imrn/rnz003zbMath1469.11055arXiv1802.08374OpenAlexW2964037552WikidataQ128637172 ScholiaQ128637172MaRDI QIDQ5853673

Ben Kane, Jingbo Liu

Publication date: 11 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08374

zbMATH Keywords

universal quadratic polynomials\(m\)-gonal numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11)

Related Items (4)

Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$ ⋮ The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma ⋮ Universal sums of generalized heptagonal numbers ⋮ TIGHT UNIVERSAL SUMS OF m-GONAL NUMBERS

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