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On a conjecture of Igusa II
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 138, Number 1, February 2016
- pp. 201-249
- 10.1353/ajm.2016.0001
- Article
- Additional Information
In his 1978 Tata Lecture Notes, Igusa conjectured the validity of a strong uniformity in the decay of complete
exponential sums modulo powers of a prime number and determined by a homogeneous polynomial. We prove this property
for absolutely reduced ternary forms.