On the almost universality of $\lfloor x^2/a\rfloor +\lfloor y^2/b\rfloor +\lfloor z^2/c\rfloor $
DOI10.1090/tran/8438zbMath1483.11065arXiv1806.10136OpenAlexW3137979855MaRDI QIDQ5158101
Hao Pan, Hai-Liang Wu, He-Xia Ni
Publication date: 21 October 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.10136
ternary quadratic formshalf-integral weight modular formsfloor functionscongruence theta functionsshifted lattices
Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Representation problems (11D85)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(x(ax+1)+y(by+1)+z(cz+1)\) and \(x(ax+b)+y(ay+c)+z(az+d)\)
- A characterization of almost universal ternary quadratic polynomials with odd prime power conductor
- Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
- Darstellungsmaße indefiniter quadratischer Formen
- On universal sums of polygonal numbers
- Hyperbolic distribution problems and half-integral weight Maass forms
- Darstellung durch Spinorgeschlechter ternärer quadratischer Formen
- Ramanujan's ternary quadratic form
- Almost universal ternary sums of polygonal numbers
- A characterization of almost universal ternary inhomogeneous quadratic polynomials with conductor 2
- On modular forms of half integral weight
- On almost universal mixed sums of squares and triangular numbers
- On some universal sums of generalized polygonal numbers
- Almost universal ternary sums of triangular numbers
- Inhomogeneous quadratic forms and triangular numbers
- Über die Classenzahl quadratischer Zahlkörper
- Representations of integral quadratic polynomials
- Almost Universal Ternary Sums of Squares and Triangular Numbers
- On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $\left\lfloor \frac{n^2}{a} \right\rfloor$
- On the theory of quadratic forms
