<p>A detailed analysis is presented of the properties of a particular function that arises in the study of the zeros of exponential sums or exponential polynomials with real exponents and complex coefficients. This function originates in applications of the argument principle to determine when the imaginary parts of the zeros mod <i>L</i> form a dense set in the particular case of a three-term exponential sum, also known as an exponential polynomial.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

A Function Used to Locate the Zeros of an Exponential Sum

  • John J. Podesta

摘要

A detailed analysis is presented of the properties of a particular function that arises in the study of the zeros of exponential sums or exponential polynomials with real exponents and complex coefficients. This function originates in applications of the argument principle to determine when the imaginary parts of the zeros mod L form a dense set in the particular case of a three-term exponential sum, also known as an exponential polynomial.