verify the following -157(89+_76)=(156×-89)+(-157×-76)
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arXiv Number Theory
arXiv Number Theory
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arXiv Number Theory
a year ago
Small values of . (arXiv:2005.10714v1 [math.NT])
Youness Lamzouri, Alessandro Languasco
In this paper, we investigate the quantity , as over the primes, where is the Dirichlet -function attached to a non trivial Dirichlet character modulo . Our main result shows that . We also compute for every odd prime up to . As a consequence we numerically verified that for every odd prime , , we have , with . In particular, this shows that for every non trivial Dirichlet character mod where is prime, answering a question of Gun, Murty and Rath in this range
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