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An Introduction to the Circle Method
About this Title
M. Ram Murty, Queen’s University, Kingston, Ontario, Canada and Kaneenika Sinha, Indian Institute of Science Education and Research, Pune, Maharashtra, India
Publication: The Student Mathematical Library
Publication Year:
2023; Volume 104
ISBNs: 978-1-4704-7203-0 (print); 978-1-4704-7424-9 (online)
DOI: https://doi.org/10.1090/stml/104
Table of Contents
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Front/Back Matter
Chapters
- Introduction and overview
- Fundamental theorem for arithmetic
- Arithmetic functions
- Introduction to congruence arithmetic
- Distribution of prime numbers
- An introduction to Waring’s problem
- Waring’s problem
- Exponential sums
- The circle method and Waring’s problem
- The circle method and the Goldbach conjectures
- Epilogue
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