We determine explicit formulas for the number of representations of a positive integer n by quaternary quadratic forms with coefficients 1, 2, 5 or 10. We use a modular forms approach.

Cusp forms, Dedekind eta function, Eisenstein forms, Eta quotients, Modular forms, Quaternary quadratic forms, Representations, Theta functions
dx.doi.org/10.4134/CKMS.c170468
Communications of the Korean Mathematical Society
School of Mathematics and Statistics

Alaca, A, & Altiary, M. (Mada). (2019). Representations by quaternary quadratic forms with coefficients 1, 2, 5 or 10. Communications of the Korean Mathematical Society, 34(1), 27–41. doi:10.4134/CKMS.c170468