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Simultaneous Additive Equations: Repeated and Differing Degrees

Simultaneous Additive Equations: Repeated and Differing Degrees

Abstract We obtain bounds for the number of variables required to establish Hasse principles, both for the existence of solutions and for asymptotic formulæ, for systems of additive equations containing forms of differing degree but also multiple forms of like degree. Apart from the very general estimates of Schmidt and …