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Estimating Exponential Integrals With a Smooth Weight Function

Wang Wei

Open publisher page 1 citations

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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What this paper is about

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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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Remainder, Exponential integral, Exponential function, Mathematics, Exponential formula, Double exponential function, Function (biology), Natural exponential family

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