The first moment of quadratic Dirichlet L-functions

By M. Young. 2008

58 citations recorded by the source corpus.

We obtain an asymptotic formula for the smoothly weighted first moment of primitive quadratic Dirichlet L-functions at the central point, with an error term that is"square-root"of the main term. Our approach uses a recursive technique that feeds the result back into itself, successively improving the error term.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/cf54e548e8868dffc8af854ec7fb04aa54365400

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In Algebra and Number Theory

1. Stephan Baier
2. M. Young
3. Ian Petrow
4. Siegfred Baluyot
5. Manjul Bhargava
6. A. Shankar
7. Alexandra Florea

In Discrete Mathematics and Combinatorics

1. Stephan Baier
2. M. Young

Citations in the corpus

• Mean values with cubic characters (2008, methodology): “Forjdj Y we use Lemma 3.3, while forjdj > Y we use the trivial bound H(l;X) X. Thus, writing m = m0m1 where m0 is a power of 3 and m1 is coprime to 3, we have”