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.
CV | List of Publications | Co-Authors | PhD Students | Journals | Lectures | Post-Docs
Fifty Golden Years with Ramanujan (pdf)
How to Write Mathematical Papers (pdf)
Photographs(2009): Bateman 90; Berndt 70 (pdf)
Banquet Talk (2009) by BCB (pdf)
Recent Publications
Berndt, B. C., Rebák, Ö. (2025). Cubic and quintic analogues of Ramanujan’s septic theta function identity. The Ramanujan Journal 66, 66. https://doi.org/10.1007/s11139-024-01013-2
Berndt, B. C., Xie, L., (2025). Identities for the product of two Dirichlet series satisfying Hecke's functional equation. Journal of Mathematical Analysis and Applications, 550(1), [129514]. https://doi.org/10.1016/j.jmaa.2025.129514
Berndt, B.C., Dixit, A., Gupta, R., Zaharescu, A. Ramanujan and Koshliakov Meet Abel and Plana, Proceedings of a conference in memory of S. V. Subbarao. http://arxiv.org/abs/2112.09819
Berndt, B.C., Dixit, A., Gupta, R., Zaharescu, A. Modified Bessel Functions in Analytic Number Theory, The Askey Amicorum, to appear. http://arxiv.org/abs/2303.02520
Berndt, B.C., Moree, P. Sums of two squares and the tau function: Ramanujan’s trail, Expositiones Mathematicae, to appear.
Berndt, B.C., Reuter, V. Continued Fractions in Entries 34 and 25 in Chapter 12 of Ramanujan’s Second Notebook, submitted.
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