On sums of three squares.

DOI10.5802/jtnb.385zbMath1050.11043OpenAlexW2071750534MaRDI QIDQ1424568

James W. Cogdell

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_33_0

zbMATH Keywords

sums of squarestheta seriesWaldspurger's theoremintegral quadratic formssubconvexity estimates

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (12)

A special case of effective equidistribution with explicit constants ⋮ Some recents advances on Duke’s equidistribution theorems ⋮ Averages of central \(L\)-values of Hilbert modular forms with an application to subconvexity ⋮ Distribution of periodic torus orbits and Duke's theorem for cubic fields ⋮ Strong approximation in the Apollonian group ⋮ Families of \(L\)-functions of automorphic forms and applications ⋮ The role of the Ramanujan conjecture in analytic number theory ⋮ Automorphic spectral identities and applications to automorphic \(L\)-functions on \(\mathrm{GL}_2\) ⋮ Twisted \(L\)-functions over number fields and Hilbert's eleventh problem ⋮ Spectra of hyperbolic surfaces ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ On basic and Bass quaternion orders

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