Mean values of cubic and quartic Dirichlet characters
نویسندگان
چکیده
منابع مشابه
Mean Values with Cubic Characters Stephan Baier and Matthew
We investigate various mean value problems involving order three primitive Dirichlet characters. In particular, we obtain an asymptotic formula for the first moment of central values of the Dirichlet L-functions associated to this family, with a power savings in the error term. We also obtain a large-sieve type result for order three (and six) Dirichlet characters.
متن کاملDirichlet series associated to quartic fields with given cubic resolvent
Let k be a cubic field. We give an explicit formula for the Dirichlet series ∑ K |Disc(K)|−s, where the sum is over isomorphism classes of all quartic fields whose cubic resolvent field is isomorphic to k. Our work is a sequel to the unpublished preprint [12] whose results have been summarized in [7], so we include complete proofs so as not to rely on unpublished work. This is a companion paper...
متن کاملOn Mean Values of Dirichlet Polynomials
We show the following general lower bound valid for any positive integer q, and arbitrary reals φ1, . . . , φN and non-negative reals a1, . . . , aN , cq ( N ∑ n=1 a 2 n )q ≤ 1 2T ∫
متن کاملA pr 2 00 8 October 16 , 2008 MEAN VALUES WITH CUBIC CHARACTERS
We investigate various mean value problems involving order three primitive Dirichlet characters. In particular, we obtain an asymptotic formula for the first moment of central values of the Dirichlet L-functions associated to this family, with a power savings in the error term. We also obtain a large-sieve type result for order three (and six) Dirichlet characters.
متن کاملCubic-Quartic Functional Equation
and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2020
ISSN: 0208-6573
DOI: 10.7169/facm/1857