Estimating Exponential Integrals With a Smooth Weight Function
Wang Wei
Abstract
Wang Wei
Abstract
The integral g(x)e(f(x))dx is discussed, where g(x) denotes a smooth function. Theresult is an estimate to this integral with a sharp remainder term. This can be used in estimating exponential sums as in the theory of exponential pairs.
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The integral g(x)e(f(x))dx is discussed, where g(x) denotes a smooth function. Theresult is an estimate to this integral with a sharp remainder term. This can be used in estimating exponential sums as in the theory of exponential pairs.
Key concepts: Remainder, Exponential integral, Exponential function, Mathematics, Exponential formula, Double exponential function, Function (biology), Natural exponential family