1Heilbronn Institute for Mathematical Research University of Bristol University Walk Bristol, BS8 1TW, United Kingdom 2Laboratoire Paul Painlevé Université des Sciences et Technologies de Lille Bâtiment M2, Cité Scientifique 59655 Villeneuve d'Ascq Cédex, France
Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 23-34
Let $\chi $ be a primitive Dirichlet character of conductor $q$ and denote by $L(z, \chi )$ the associated $L$-series. We provide an explicit upper bound for $|L(1, \chi )|$ when $3$ divides $q$.
Keywords:
chi primitive dirichlet character conductor denote chi associated l series provide explicit upper bound chi divides nbsp
Affiliations des auteurs :
David J. Platt 
1
;
Sumaia Saad Eddin 
2
1
Heilbronn Institute for Mathematical Research University of Bristol University Walk Bristol, BS8 1TW, United Kingdom
2
Laboratoire Paul Painlevé Université des Sciences et Technologies de Lille Bâtiment M2, Cité Scientifique 59655 Villeneuve d'Ascq Cédex, France
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David J. Platt; Sumaia Saad Eddin. Explicit upper bounds for $|L(1, \chi )|$ when $\chi (3)=0$. Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 23-34. doi: 10.4064/cm133-1-2