Contact Information
273 Altgeld Hall
1409 W. Green St.
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, 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
Berndt, B. C., Fassina, M., Kim, S., & Zaharescu, A. (2022). Two-parameter identities for divisor sums in algebraic number fields. Journal of Mathematical Analysis and Applications, 506(2), [125679]. https://doi.org/10.1016/j.jmaa.2021.125679
Alladi, K., Berndt, B. C., Paule, P., Sellers, J. A., & Yee, A. J. (2021). Preface. George E. Andrews: 80 Years of Combinatory Analysis, v-vi. (Trends in Mathematics). Springer. https://doi.org/10.1016/B978-0-08-031874-5.50006-1
Berndt, B. C. (2021). Ramanujan, His Lost Notebook, Its Importance. In George E. Andrews: 80 Years of Combinatory Analysis, 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 George E. Andrews: 80 Years of Combinatory Analysis, 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
View all publications on Illinois Experts