Explicit Methods for Hilbert Modular Forms
Explicit Methods for Hilbert Modular Forms
复制标题
希尔伯特模形式的显式方法
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
J. Voight
中科院分区：
文献类型：
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作者：
Lassina Dembélé;J. Voight
模形式的研究仍然是现代数论中的一个主导主题，这是它们内在的吸引力以及它们在各种数学问题中的应用的结果。在过去的半个世纪里，在抽象理论和显式计算并行发展的环境中，这一主题取得了巨大的进展。在未来的岁月里，实验仍将是一个必不可少的工具，特别是当我们从经典背景转向不太熟悉的领域时。
The study of modular forms remains a dominant theme in modern number theory, a consequence of their intrinsic appeal as well as their applications to a wide variety of mathematical problems. This subject has seen dramatic progress during the past half-century in an environment where both abstract theory and explicit computation have developed in parallel. Experiments will remain an essential tool in the years ahead, especially as we turn from classical contexts to less familiar terrain.