Geodesic
On Incomplete Character Sums to a Prime-Power Modulus
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 257-266

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Let x denote a primitive character to a prime-power modulus k = pα. The expected estimate for the incomplete character sum has been established for r = 1 and 2 by D. A. Burgess and recently, he settled the case r = 3 for all primes p < 3, (cf. [2] for the proof and for references). Here, a short proof of the main inequality (Theorem 2) which leads to this result is presented; the argument being based upon my characterization in [3] of the solution-set of a related congruence.
DOI : 10.4153/CMB-1987-037-4
Mots-clés : 10A10, 10G05, Congruences, Character Sums 
Chalk, J. H. H. On Incomplete Character Sums to a Prime-Power Modulus. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 257-266. doi: 10.4153/CMB-1987-037-4
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     title = {On {Incomplete} {Character} {Sums} to a {Prime-Power} {Modulus}},
     journal = {Canadian mathematical bulletin},
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     year = {1987},
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     doi = {10.4153/CMB-1987-037-4},
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