Ternary quadratic forms and Brandt matrices

Rainer Schulze‐Pillot

Type: Article

Publication Date: 1986-06-01

Citations: 10

DOI: https://doi.org/10.1017/s0027763000000465

Abstract

In a recent paper [9] the author showed (among other results) estimates on the asymptotic behaviour of the representation numbers of positive definite integral ternary quadratic forms, in particular, that for n in a fixed square class tZ 2 and lattices L, K in the same spinor genus one has . The main tool utilized for the proof was the theory of modular forms of weight 3/2, especially Shimura’s lifting from the space of cusp forms of weight 3/2 to the space of modular forms of weight 2.

Locations

Nagoya Mathematical Journal - View - PDF
Project Euclid (Cornell University) - View - PDF

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+	Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids	1990	William Duke Rainer Schulze‐Pillot
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Works Cited by This (11)

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+	The Eichler Commutation Relation and the continuous spectrum of the weil representation	1979	Stephen Rallis
+ PDF Chat	On theta functions of real algebraic number fields	1977	Martin Eichler
+	Quadratische Formen und orthogonale Gruppen	1974	Martin Eichler
+ PDF Chat	Ternary quadratic forms and Shimura’s correspondence	1981	Paul Ponomarev
+	Quaternäre quadratische Formen und die Riemannsche Vermutung fÜr die Kongruenzzetafunktion	1954	Martin Eichler
+	Darstellung durch definite ternäre quadratische Formen	1982	Rainer Schulze‐Pillot
+ PDF Chat	Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten	1954	Karl-Bernhard Gundlach
+	Thetareihen positiv definiter quadratischer Formen	1984	Rainer Schulze‐Pillot
+	The Basis Problem for Modular Forms and the Traces of the Hecke Operators	1973	Martin Eichler
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura