We study the representations of real homogeneous polynomials [italic]p([italic]x) = [italic]p([italic]x₁, ···, [italic]x[italic subscript]n) of even degree [italic]m ([italic]n-ary [italic]m-ics) as sums of [italic]m-th powers of linear forms and generalize the theory of positiv…
In den sechs Semesiern vom W.-S. 1921-22 bis zum S.-S. 1924 habe ich an der Göttingen Universtät je eine 4-stündige Vorlesung über Zahlentheorie gehalten. Der lnhalt weicht derart von dem in den üblichen Lehrbüchern dargestellten Stoff ab, daß ich mich auf vielfachen Wunsch ents…
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Automorphic forms and applications
by Sarnak, Peter, Shahidi, Freydoon
fromIAS/Park City mathematics series
The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automor…