l-adic L-functions and rational function measures
Jangheon Oh (1998)
Acta Arithmetica
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Jangheon Oh (1998)
Acta Arithmetica
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E. Scourfield (1964)
Acta Arithmetica
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Jack Diamond (1979)
Acta Arithmetica
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K. Matthews, A. Watts (1984)
Acta Arithmetica
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D. Heath-Brown (1986)
Acta Arithmetica
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Yismaw Alemu (1985)
Acta Arithmetica
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Yuichi Kamiya (1998)
Acta Arithmetica
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Jianya Liu, Tao Zhan (1997)
Acta Arithmetica
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For a large odd integer N and a positive integer r, define b = (b₁,b₂,b₃) and It is known that . Let ε > 0 be arbitrary and . We prove that for all positive integers r ≤ R, with at most exceptions, the Diophantine equation ⎧N = p₁+p₂+p₃, ⎨ j = 1,2,3,⎩ with prime variables is solvable whenever b ∈ (N,r), where A > 0 is arbitrary.
Hugh Montgomery (1980)
Acta Arithmetica
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