Jacobi-sum Hecke characters and Gauss-sum identities
Daniel S. Kubert, Stephen Lichtenbaum (1983)
Compositio Mathematica
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Daniel S. Kubert, Stephen Lichtenbaum (1983)
Compositio Mathematica
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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.
Samuel Wagstaff (1982)
Acta Arithmetica
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Andrzej Schinzel (1963)
Acta Arithmetica
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Karl Norton (1969)
Acta Arithmetica
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S. Chowla (1971)
Acta Arithmetica
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A. Zulauf (1962-1964)
Compositio Mathematica
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Richard Hudson (1975)
Acta Arithmetica
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