Geodesic
TRUNCATIONS OF $L$-FUNCTIONS IN RESIDUE CLASSES
Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 347-350

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DOI

Let $\chi(n)$ be a quadratic character modulo a prime $p$. For a fixed integer $s\ne 0$, we estimate certain exponential sums with truncated $L$-functions \[L_{s,p}(n) = \sum_{j=1}^n \frac{\chi(\,j)}{j^s}\qquad (n =1, 2, \ldots)\]. Our estimate implies certain uniformly of distribution properties of reductions of $L_{s,p}(n)$ in the residue classes modulo $p$.
DOI : 10.1017/S0017089506003120
Mots-clés : 11L07, 11M38 
SHPARLINSKI, IGOR E. TRUNCATIONS OF $L$-FUNCTIONS IN RESIDUE CLASSES. Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 347-350. doi: 10.1017/S0017089506003120
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     author = {SHPARLINSKI, IGOR E.},
     title = {TRUNCATIONS {OF} $L${-FUNCTIONS} {IN} {RESIDUE} {CLASSES}},
     journal = {Glasgow mathematical journal},
     pages = {347--350},
     year = {2006},
     volume = {48},
     number = {2},
     doi = {10.1017/S0017089506003120},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003120/}
}
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