On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\)
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Publication:1930126
DOI10.1016/j.jnt.2012.08.020zbMath1309.11022OpenAlexW2315933247MaRDI QIDQ1930126
Publication date: 10 January 2013
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2012.08.020
Sums of squares and representations by other particular quadratic forms (11E25) Quadratic and bilinear Diophantine equations (11D09) Theta series; Weil representation; theta correspondences (11F27)
Related Items (20)
On \(x(ax+1)+y(by+1)+z(cz+1)\) and \(x(ax+b)+y(ay+c)+z(az+d)\) ⋮ Multiplicative property of representation numbers of ternary quadratic forms ⋮ The number of representations of squares by integral ternary quadratic forms ⋮ Quadratic forms with a strong regularity property on the representations of squares ⋮ On the representation numbers of ternary quadratic forms and modular forms of weight \(3/2\) ⋮ Diagonal quinary quadratic forms with a strong regularity property ⋮ Congruence modulo 4 for Andrews' even parts below odd parts partition function ⋮ Representations of squares by certain diagonal quadratic forms in an odd number of variables ⋮ A result similar to Lagrange's theorem ⋮ Unnamed Item ⋮ Ramanujan’s theta functions and sums of triangular numbers ⋮ On the Gauss \(E\Upsilon PHKA\) theorem and some allied inequalities ⋮ Cooper and Lam's conjecture for generalized Bell ternary quadratic forms ⋮ Eichler's commutation relation and some other invariant subspaces of Hecke operators ⋮ Unnamed Item ⋮ The number of representations of squares by integral ternary quadratic forms. II. ⋮ Universal sums of three quadratic polynomials ⋮ CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS ⋮ Spinor representations of positive definite ternary quadratic forms ⋮ The number of representations of squares by integral quaternary quadratic forms
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