Hilbert Modular Forms and the Ramanujan Conjecture

Don Blasius

Hilbert Modular Forms and the Ramanujan Conjecture

数论 2007-05-23 v1 代数几何

作者: Don Blasius

摘要

This paper completes the proof of the Ramanujan Conjecture for holomorphic Hilbert modular forms whose weights are all congruent modulo 2. As a consequence, the Weight-Monodromy Conjecture and the zeta function conjecture of Langlands are verified for all Quaternionic Shimura varieties.

关键词

modular forms conjectures and proofs ramanujan identities and series

引用

@article{arxiv.math/0511007,
  title  = {Hilbert Modular Forms and the Ramanujan Conjecture},
  author = {Don Blasius},
  journal= {arXiv preprint arXiv:math/0511007},
  year   = {2007}
}

备注

28 pages

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