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- W3100417154 abstract "We establish asymptotic upper bounds on the number of roots modulo p of some polynomials with rational coefficients, with p an arbitrarily large prime numbers, using a variant of Stepanov's method. The polynomials we consider have degree of size close to p and are obtained by truncating power series of polylogarithms, polyexponentials, and Bessel functions. This answers a question of Heath-Brown." @default.
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- W3100417154 date "2013-10-24" @default.
- W3100417154 modified "2023-09-27" @default.
- W3100417154 title "The Number of Roots of Polynomials of Large Degree in a Prime Field" @default.
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- W3100417154 doi "https://doi.org/10.1093/imrn/rnt227" @default.
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