Simultaneous equations of additive type

DOI10.1098/rsta.1969.0035zbMath0207.35304OpenAlexW1977845856MaRDI QIDQ5608140

D. J. Lewis

Publication date: 1969

Published in: Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1969.0035

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Diophantine equations in many variables (11D72)

Related Items (24)

Pairs of additive equations III: quintic equations ⋮ Pairs of additive congruences: cubic congruences ⋮ Systems of diagonal Diophantine inequalities ⋮ Simultaneous diagonal congruences ⋮ On \(p\)-adic zeros of systems of diagonal forms restricted by a congruence condition ⋮ 2-adic zeros of diagonal forms ⋮ On \(p\)-adic zeros of additive forms of even degree ⋮ Simultaneous additive congruences to a large prime modulus ⋮ On cubic polynomials. IV: Systems of rational equations ⋮ The Artin conjecture for three diagonal cubic forms ⋮ Simultaneous diagonal equations over certain \(p\)-adic fields ⋮ On simultaneous additive equations, III ⋮ Quadratic diophantine inequalities ⋮ Analytic methods in the theory of systems of Diophantine equations and inequalities with a large number of unknowns ⋮ Representation of integers by a system of additive, positive quadratic forms ⋮ On Artin’s conjecture: Linear slices of diagonal hypersurfaces ⋮ On systems of diagonal forms II ⋮ Systems of homogeneous equations ⋮ Pairs of additive equations. II: Large odd degree ⋮ Simultaneous diagonal p –adic equations ⋮ The solubility of certain p-adic equations ⋮ Rational points on linear slices of diagonal hypersurfaces ⋮ On systems of diagonal forms ⋮ The Hasse principle for systems of diagonal cubic forms

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