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Bruce C. Berndt

Profile picture for Bruce C. Berndt

Contact Information

Mailing address:
273 Altgeld Hall
1409 W. Green St.
Urbana, IL 61801

Research Areas

Professor Emeritus

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.

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 Applications506(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 Journal239, 173-204. https://doi.org/10.1017/nmj.2018.35

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