Albion College Mathematics and Computer Science Colloquium

Title: Ramanujan's Lost Notebook
Speaker:Bruce C. Berndt, '61
Department of Mathematics
University of Illinois at Urbana-Champaign
Urbana, Illinois
Abstract: In the spring of 1976, while searching through papers of the late G. N. Watson at Trinity College, Cambridge, George Andrews found a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan, generally regarded as India's greatest mathematician. In view of the fame of Ramanujan's earlier notebooks, Andrews naturally called these papers Ramanujan's "lost notebook." This work, comprising about 650 results with no proofs, arises from the last year of Ramanujan's life and represents some of his deepest work.

Since many in the audience may not be familiar with Ramanujan, we begin with a brief biography. Second, we provide a history of the lost notebook. Third, a general description of the topics found in the lost notebook will be provided. For some of the topics, in particular, q-series, theta functions, mock theta functions, continued fractions, partitions, and infinite series, we offer some details. In the time remaining, the fourth portion of the lecture will be devoted to a more detailed discussion of one of the topics prominently addressed in the lost notebook, namely continued fractions.
Location: Palenske 227
Time: 3:30 PM

author  = "{Bruce C. Berndt, '61}",
title   = "{Ramanujan's Lost Notebook}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month   = "{8 September}",
year    = "{2011}"