Contact Information
215 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Classical analysis, in particular, as related to Ramanujan's notebooks, infinite series, elliptic and modular functions, theta-functions, q-series, continued fractions, character sums, classical analysis, special functions, asymptotic series, and contour integration.
Research Description
Analytic Number Theory
Ramanujan's Earlier Notebooks and Lost Notebook
Special Functions
Elliptic (especially Theta) Functions
q-series
Continued Fractions
Education
Albion College, A B
University of Wisconsin Madison, MA , PhD
Awards and Honors
Professor, Center for Advanced Study, University of Illinois at Urbana-Champaign
Honorary Doctorate, SASTRA University, India
External Links
Recent Publications
Alladi, K., Berndt, B. C., Paule, P., Sellers, J. A., & Yee, A. J. (2021). Preface. Trends in Mathematics, v-vi. https://doi.org/10.1016/B978-0-08-031874-5.50006-1
Berndt, B. C. (2021). Ramanujan, His Lost Notebook, Its Importance. In Trends in Mathematics (pp. 33-52). (Trends in Mathematics). Springer. https://doi.org/10.1007/978-3-030-57050-7_3
Berndt, B. C., Li, J., & Zaharescu, A. (2021). The Final Problem: A Series Identity from the Lost Notebook. In Trends in Mathematics (pp. 783-790). (Trends in Mathematics). Springer. https://doi.org/10.1007/978-3-030-57050-7_42
Andrews, G. E., Berndt, B. C., Chan, S. H., Kim, S., & Malik, A. (2020). Four Identities for Third Order Mock Theta Functions. Nagoya Mathematical Journal, 239, 173-204. https://doi.org/10.1017/nmj.2018.35
Berndt, B. C. (2020). Living with Ramanujan for 40 years. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 378(2163), [20180437]. https://doi.org/10.1098/rsta.2018.0437