Geodesic
On the Constant in the Pólya-Vinogradov Inequality
Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 347-352

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DOI

The Pólya-Vinogradov inequality states that for any non-principal character x modulo q and any N ≧ 1, where c is an absolute constant. We show that (*) holds with c = 2/(3π2) + o(1) in the case x is primitive and x (— 1) =1 with c = 1/(3π) + o(l) in the case x is primitive and x(— 1) = — 1- This improves by a factor 2/3 the previously best-known values for these constants.
DOI : 10.4153/CMB-1988-050-1
Mots-clés : 10G15 
On the Constant in the Pólya-Vinogradov Inequality. Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 347-352. doi: 10.4153/CMB-1988-050-1
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     journal = {Canadian mathematical bulletin},
     pages = {347--352},
     year = {1988},
     volume = {31},
     number = {3},
     doi = {10.4153/CMB-1988-050-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-050-1/}
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