Diophantine problems: new and old perspectives

丢番图问题：新观点和旧观点

• 批准号: 250160-2007
• 负责人: Bennett, Michael
• 金额: $ 1.82万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=455589
• 关键词: Diophantine; problems; new; old; perspectives

Number theory, one of the oldest branches of mathematics, has enjoyed a renaissance in recent years. On one hand, the remarkable proof of Fermat's Last Theorem by Andrew Wiles has reaffirmed Number theory's position as a central one in modern mathematics. On the other, numerous and striking applications to such diverse problems as data encryption and signal transmission have demonstrated the utility of the field, both for industrial and governmental purposes.

数论是数学最古老的分支之一，近年来又有了复兴。一方面，怀尔斯对费马大定理的证明再次肯定了数论在现代数学中的中心地位。另一方面，在数据加密和信号传输等不同问题上的众多和引人注目的应用已经证明了该领域的实用性，无论是用于工业还是政府目的。