ON THE QUATERNARY FORMS x2+y2+2z2+3t2, x2+2y2+2z2+6t2, x2+3y2+3z2+6t2 AND 2x2+3y2+6z2+6t

DOI10.1142/S1793042112500972zbMath1255.11020MaRDI QIDQ3166338

Ayşe Alaca, Kenneth S. Williams

Publication date: 11 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

representationstheta functionslocal densitiesquaternary quadratic formsSiegel's mass formula

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) Theta series; Weil representation; theta correspondences (11F27)

Related Items (4)

The number of representations of squares by integral ternary quadratic forms ⋮ Theta products and eta quotients of level 24 and weight 2 ⋮ Some relations between $t(a,b,c,d;n)$ and $N(a,b,c,d;n)$ ⋮ Relations among representations of integers by certain quadratic forms

Cites Work

• Unnamed Item
• Über die analytische Theorie der quadratischen Formen
• On the two-dimensional theta functions of the Borweins
• THETA FUNCTION IDENTITIES AND REPRESENTATIONS BY CERTAIN QUATERNARY QUADRATIC FORMS
• Nineteen quaternary quadratic forms

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