Research output per year
Research output per year
Personal profile
Professional Information
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
Honors & Awards
Professor, Center for Advanced Study, University of Illinois at Urbana-Champaign
Honorary Doctorate, SASTRA University, India
Office Address
Department of Mathematics
215 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Office Phone
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A CLASS OF IDENTITIES ASSOCIATED WITH DIRICHLET SERIES SATISFYING HECKE’S FUNCTIONAL EQUATION
Berndt, B. C., Dixit, A., Gupta, R. & Zaharescu, A., Nov 1 2022, In: Proceedings of the American Mathematical Society. 150, 11, p. 4785-4799 15 p.Research output: Contribution to journal › Article › peer-review
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Balanced derivatives, identities, and bounds for trigonometric and Bessel series
Berndt, B. C., Fassina, M., Kim, S. & Zaharescu, A., Feb 24 2022, In: Advances in Mathematics. 395, 108085.Research output: Contribution to journal › Article › peer-review
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Generalizations of the Andrews–Yee identities associated with the mock theta functions ω(q) and ν(q)
Berndt, B. C., Dixit, A. & Gupta, R., Jun 2022, In: Journal of Algebraic Combinatorics. 55, 4, p. 1031–1062 32 p.Research output: Contribution to journal › Article › peer-review
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Two General Series Identities Involving Modified Bessel Functions and a Class of Arithmetical Functions
Berndt, B. C., Dixit, A., Gupta, R. & Zaharescu, A., 2022, (Accepted/In press) In: Canadian Journal of Mathematics.Research output: Contribution to journal › Article › peer-review
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Two-parameter identities for divisor sums in algebraic number fields
Berndt, B. C., Fassina, M., Kim, S. & Zaharescu, A., Feb 15 2022, In: Journal of Mathematical Analysis and Applications. 506, 2, 125679.Research output: Contribution to journal › Article › peer-review