The Hermite constant and its generalizations

• Main Author: Oh, Chun Rong
• Other Authors: Frederique Elise Oggier
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2023
• Subjects: Science::Mathematics::Number theory
• Online Access: https://hdl.handle.net/10356/172099
• Institution: Nanyang Technological University

The majority of the values for the Hermite constant and its generalizations, namely the dual Hermite constant, the Rankin constant and the Bergé-Martinet constant, have yet to be found. This thesis initiates an exploration into the missing values for these constants. A novel contribution is made by...