Bounds for Prime Solutions of Some Diagonal Equations. II

DOI10.2307/2000530zbMath0602.10039OpenAlexW4236553700MaRDI QIDQ3737517

Ming-Chit Liu

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000530

zbMATH Keywords

Hardy-Littlewood methoddiagonal equationsingular seriesmajor arcsexceptional zerobounds for prime solutionszero density estimate for L-functions

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) (zeta (s)) and (L(s, chi)) (11M06) Higher degree equations; Fermat's equation (11D41) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• An improved bound for prime solutions of some ternary equations
• A large sieve density estimate near \(\sigma = 1\)
• Bounds of prime solutions of some diagonal equations.
• On some diophantine inequalities involving primes.
• Diagonal cubic equations and inequalities
• Bounds for solutions of diagonal equations