Lower order terms for the moments of symplectic and orthogonal families of $L$-functions

Details Lower order terms for the moments of symplectic and orthogonal families of $L$-functions Lower order terms for the moments of symplectic and orthogonal families of $L$-functions

2012-03-21

arxiv.org/abs/1203.4647v2

Mathematics

Number Theory

34 pages, 4 tables

Scientific paper

We derive formulas for the terms in the conjectured asymptotic expansions of the moments, at the central point, of quadratic Dirichlet $L$-functions, $L(1/2,\chi_d)$, and also of the $L$-functions associated to quadratic twists of an elliptic curve over $\Q$. In so doing, we are led to study determinants of binomial coefficients of the form $\det (\binom{2k-i-\lambda_{k-i+1}}{2k-2j})$.

Affiliated with

Also associated with

No associations

Rating

Lower order terms for the moments of symplectic and orthogonal families of $L$-functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lower order terms for the moments of symplectic and orthogonal families of $L$-functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lower order terms for the moments of symplectic and orthogonal families of $L$-functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487893