Stark–Wannier ladders and cubic exponential sums

  title={Stark–Wannier ladders and cubic exponential sums},
  author={Fr{\'e}d{\'e}ric Klopp and Alexander Fedotov},
  journal={Functional Analysis and Its Applications},
  • F. KloppA. Fedotov
  • Published 22 April 2016
  • Mathematics
  • Functional Analysis and Its Applications
Given a one-dimensional Stark–Wannier operator, we study the reflection coefficient and its poles in the lower half of the complex plane far from the real axis. In particular, the reflection coefficient is described asymptotically in terms of regularized infinite cubic exponential sums. 

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The exponential sums Sqam=∑l=1qexp2πial3+mlq−1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}



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