Like a Sparrow, Small but Complete

Summary

By investigating an interesting number theory problem and its generalization, a reader will experience the process of research in pure mathematics. The content is completely elementary and accessible to any university students. We hope that the article will serve as an invitation to mathematical research.

MSC:

• Primary 97D50
• Secondary 11A99

Acknowledgments

The author wishes to thank Shuxuan (Annie) Luo, a first-year undergraduate student at Oxford College of Emory University, for reading part of the manuscript as a participant in the Summer Oxford Research Scholars Program in 2020.

Additional information

Notes on contributors

Fang Chen

FANG CHEN has a B.A. from Bryn Mawr College and a Ph.D. in mathematics from Yale University. She is an associate professor at Oxford College of Emory University.