Contact Information
215 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
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
Additional Campus Affiliations
Professor Emeritus, Mathematics
External Links
Recent Publications
Berndt, B. C., Fassina, M., Kim, S., & Zaharescu, A. (2022). Balanced derivatives, identities, and bounds for trigonometric and Bessel series. Advances in Mathematics, 395, [108085]. https://doi.org/10.1016/j.aim.2021.108085
Berndt, B. C., Dixit, A., & Gupta, R. (2022). Generalizations of the Andrews–Yee identities associated with the mock theta functions ω(q) and ν(q). Journal of Algebraic Combinatorics, 55(4), 1031–1062. https://doi.org/10.1007/s10801-021-01082-2
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. 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