The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields
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...
| Main Authors: | , , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
American Mathematical Society
2023
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