Finding formulas for the number of representations of integers as sums of integer squares has a long history. In this talk we give a brief history of the problem and indicate the use of modular forms in obtaining certain formulas. We also discuss about some related questions.
School of Mathematical Sciences
NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050