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- W2735042929 abstract "Abstract Let F q [ T ] be the ring of polynomials over the finite field of q elements and Y a large integer. We say a polynomial in F q [ T ] is Y -smooth if all of its irreducible factors are of degree at most Y. We show that a ternary additive equation a + b = c over Y -smooth polynomials has many solutions. As an application, if S is the set of first s primes in F q [ T ] and s is large, we prove that the S -unit equation u + v = 1 has at least exp solutions." @default.
- W2735042929 created "2017-07-21" @default.
- W2735042929 creator A5018433948 @default.
- W2735042929 date "2018-02-01" @default.
- W2735042929 modified "2023-10-18" @default.
- W2735042929 title "Smooth Polynomial Solutions to a Ternary Additive Equation" @default.
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- W2735042929 doi "https://doi.org/10.4153/cjm-2017-023-x" @default.
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