A stationary phase formula for exponential sums over / p m and applications to GL(3)-Kloosterman sums

Romuald Dąbrowski; Benji Fisher

Acta Arithmetica (1997)

  • Volume: 80, Issue: 1, page 1-48
  • ISSN: 0065-1036

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Romuald Dąbrowski, and Benji Fisher. "A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums." Acta Arithmetica 80.1 (1997): 1-48. <http://eudml.org/doc/207025>.

@article{RomualdDąbrowski1997,
author = {Romuald Dąbrowski, Benji Fisher},
journal = {Acta Arithmetica},
keywords = {exponential sums; Fourier coefficients of automorphic forms; Kloosterman sums; -adic stationary phase; Hessians of arbitrary valuation; -dimensional version of Hensel’s lemma; Kloosterman sets; Fourier coefficients of Poincaré series},
language = {eng},
number = {1},
pages = {1-48},
title = {A stationary phase formula for exponential sums over $ℤ/p^\{m\}ℤ$ and applications to GL(3)-Kloosterman sums},
url = {http://eudml.org/doc/207025},
volume = {80},
year = {1997},
}

TY - JOUR
AU - Romuald Dąbrowski
AU - Benji Fisher
TI - A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 1
SP - 1
EP - 48
LA - eng
KW - exponential sums; Fourier coefficients of automorphic forms; Kloosterman sums; -adic stationary phase; Hessians of arbitrary valuation; -dimensional version of Hensel’s lemma; Kloosterman sets; Fourier coefficients of Poincaré series
UR - http://eudml.org/doc/207025
ER -

References

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