Journal article
The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields
- Abstract:
-
We prove special cases of the Ratios Conjecture for the family of quadratic Dirichlet L–functions over function fields. More specifically, we study the average of L(1/2 + α, χD)/L(1/2 + β, χD), when D varies over monic, square-free polynomials of degree 2g + 1 over Fq[x], as g → ∞, and we obtain an asymptotic formula when g −1/2+ε . We also study averages of products of 2 over 2 and 3 over 3 L– functions, and obtain asymptotic formulas when the shifts in the denominator have real part bi...
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- Publication status:
- Accepted
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- American Mathematical Society Publisher's website
- Journal:
- Transactions of the American Mathematical Society Journal website
- Acceptance date:
- 2023-01-24
- EISSN:
-
1088-6850
- ISSN:
-
0002-9947
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1325125
- Local pid:
- pubs:1325125
- Deposit date:
- 2023-01-24
Terms of use
- Copyright holder:
- Bui et al.
- Copyright date:
- 2023
- Rights statement:
- ©2023 The Author(s).
- Notes:
- This is the accepted manuscript version of the article. The final version is available from the publisher.
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