Ternary quadratic forms and Brandt matrices

DOI10.1017/S0027763000000465zbMath0566.10015MaRDI QIDQ3680911

Rainer Schulze-Pillot

Publication date: 1986

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

orderstheta seriesternary quadratic formsrepresentations of integerstotally real fieldShimura liftingBrandt matrixfixed square classtotally definite quaternion algebra

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Forms over real fields (11E10)

Related Items (7)

Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables ⋮ Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras ⋮ Kneser's method of neighbors ⋮ On sums of three squares. ⋮ The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2 ⋮ Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids ⋮ Representation masses of spinor genera

Cites Work

• Thetareihen positiv definiter quadratischer Formen
• Darstellung durch definite ternaere quadratische Formen
• On modular forms of half integral weight
• Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten
• Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion
• Ternary quadratic forms and Shimura’s correspondence

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