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
Additional Campus Affiliations
Professor Emeritus, Mathematics
External Links
Honors & Awards
Professor, Center for Advanced Study, University of Illinois at Urbana-Champaign
Honorary Doctorate, SASTRA University, India
Recent Publications
Berndt, B. C., Dixit, A., Gupta, R., & Zaharescu, A. (2022). A CLASS OF IDENTITIES ASSOCIATED WITH DIRICHLET SERIES SATISFYING HECKE’S FUNCTIONAL EQUATION. Proceedings of the American Mathematical Society, 150(11), 4785-4799. https://doi.org/10.1090/proc/16002
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., Dixit, A., Gupta, R., & Zaharescu, A. (Accepted/In press). Two General Series Identities Involving Modified Bessel Functions and a Class of Arithmetical Functions. Canadian Journal of Mathematics. https://doi.org/10.4153/S0008414X22000530
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