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Bounds for solutions of two additive equations of odd degree

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Toliver R. H.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction...........................................................5 2. Initial reductions....................................................9 3. Local information.................................................10 4. Global reduction..................................................17 5. Preparation for the analytic argument.................28 6. Estimates for T(Λ)...............................................32 7. The minor arcs....................................................34 8. Estimates for treatment of the major arcs............36 9. Rational approximations in the major arcs...........40 10. Modifying the major arcs...................................43 11. The asymptotic formula.....................................47 References.............................................................52

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1 Toliver R. H.

1 1989

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Bounds for solutions of two additive equations of odd degree