Abstract
We express the order of the pole and the leading coefficient of the L-function of a (large class of)
Acknowledgements
We would like to express our gratitude to Kazuya Kato, Atsushi Shiho and Takashi Suzuki for very enlightning discussions about the appropriate category of coefficients for our result. We also would like to thank the referee for his careful reading and help to improve the presentation of the paper.
References
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Articles in the same Issue
- Frontmatter
- Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds
- Rational endomorphisms of codimension one holomorphic foliations
- Chow rings of low-degree Hurwitz spaces
- The m-step solvable anabelian geometry of number fields
- Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains
- Conformal metrics with prescribed scalar and mean curvature
- On the abundance theorem for numerically trivial canonical divisors in positive characteristic
- On the zeroes and poles of L-functions over varieties in positive characteristic
Articles in the same Issue
- Frontmatter
- Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds
- Rational endomorphisms of codimension one holomorphic foliations
- Chow rings of low-degree Hurwitz spaces
- The m-step solvable anabelian geometry of number fields
- Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains
- Conformal metrics with prescribed scalar and mean curvature
- On the abundance theorem for numerically trivial canonical divisors in positive characteristic
- On the zeroes and poles of L-functions over varieties in positive characteristic