Abstract
We establish estimates for certain families of character sums over finite fields, including those which arise in Lillian Pierce's recent work [P] on estimating the 3-part of the class number of quadratic fields.
Received: 2004-07-19
Published Online: 2006-08-14
Published in Print: 2006-07-01
© Walter de Gruyter
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Articles in the same Issue
- Optimal Sobolev imbeddings
- On spectral gaps and exit time distributions for a non-smooth domain
- Sums of three squares over imaginary quadratic fields
- Totally projective unit groups in modular abelian group algebras
- Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
- On large deviations for random currents induced from stochastic line integrals
- A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
- On a question of Lillian Pierce
Articles in the same Issue
- Optimal Sobolev imbeddings
- On spectral gaps and exit time distributions for a non-smooth domain
- Sums of three squares over imaginary quadratic fields
- Totally projective unit groups in modular abelian group algebras
- Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
- On large deviations for random currents induced from stochastic line integrals
- A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
- On a question of Lillian Pierce