On almost universal mixed sums of squares and triangular numbers

DOI10.1090/S0002-9947-2010-05290-0zbMath1236.11038arXiv0808.2761OpenAlexW1968457462MaRDI QIDQ3065746

Zhi-Wei Sun, Ben Kane

Publication date: 6 January 2011

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

Full work available at URL: https://arxiv.org/abs/0808.2761

zbMATH Keywords

sums of squaresquadratic formsrepresentations of integershalf-integral weight modular formstriangular numbers

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 (9)

Almost universal mixed sums of squares and polygonal numbers ⋮ On universal sums of polygonal numbers ⋮ A characterization of almost universal ternary quadratic polynomials with odd prime power conductor ⋮ On the 1-3-5 conjecture and related topics ⋮ On the almost universality of $\lfloor x^2/a\rfloor +\lfloor y^2/b\rfloor +\lfloor z^2/c\rfloor $ ⋮ Refining Lagrange's four-square theorem ⋮ Almost universal ternary sums of triangular numbers ⋮ Almost universal ternary sums of polygonal numbers ⋮ An algebraic and analytic approach to spinor exceptional behavior in translated lattices

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