Exponential sums with sparse polynomials over finite fields

We obtain new bounds of exponential sums modulo a prime $p$ with sparse polynomials $a_0x^{n_0} + \cdots + a_νx^{n_ν}$. The bounds depend on various greatest common divisors of exponents $n_0, \ldots, n_ν$ and their differences. In particular, two new bounds for binomials are obtained, improving previous results in broad ranges of parameters.

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