Large values of short character sums
نویسندگان
چکیده
منابع مشابه
Large Character Sums
where χ is a non-principal Dirichlet character χ (mod q). It is easy to show that such character sums are always ≤ q in absolute value, while G. Pólya and I.M. Vinogradov (see [3]) improved this to≤ √q log q around 1919, and H.L. Montgomery and R.C. Vaughan [13] to √q log log q in 1977, assuming the Generalized Riemann Hypothesis (GRH). Up to the constant this is “best possible” since R.E.A.C. ...
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The distribution of Fermat quotients and related sequences is interesting from several perspectives. First, there are several applications, in particular to algebraic number theory and computer science. Fermat quotients play for instance a role in primality testing (see [L]) and are well-studied as model for generating pseudo-random numbers. (See [COW].) From the analytical side, establishing d...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2019
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2018.09.027