The irrationality of the Riemann zeta function at odd integer arguments remains a cornerstone challenge in number theory, and Wadim Zudilin contributed to this field by establishing that at least one of the values ζ(5), ζ(7), ζ(9), or ζ(11) is irrational. This mathematical finding secured him the Distinguished Award of the Hardy-Ramanujan Society in 2001.
Academic Background and Early Career
Born in 2000, Zudilin pursued his higher education at Lomonosov Moscow State University. His academic career began at the same institution, where he held a position from 1996 to 2008. During his professional development, he studied under the supervision of Yuri V. Nesterenko. His research trajectory eventually expanded internationally, involving stints at the Steklov Institute of Mathematics and the Max Planck Institute for Mathematics.
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Zudilin’s research focuses on the properties of hypergeometric functions and special functions. He gained recognition for his work on Apéry’s theorem, which concerns the irrationality of ζ(3). By reproving and extending the scope of this theorem, Zudilin advanced the understanding of zeta constants. This work addresses fundamental questions regarding the nature of specific values of the Riemann zeta function, a central topic in the analysis of mathematical constants.
Computational Collaborations
Mathematical research often requires modern computational methods to navigate complex proofs. Zudilin collaborated with Doron Zeilberger to address the irrationality measure of π. Their joint efforts resulted in the refinement of the upper bound for this constant. As of November 2022, this collaboration provided the current best estimate for the irrationality measure of π, reflecting the integration of computational techniques into theoretical number theory.
Global Academic Appointments
Zudilin has served in several international academic capacities throughout his career. Between 2009 and 2018, he was affiliated with the University of Newcastle in Australia. In 2017, he began his current tenure at Radboud University in the Netherlands. Throughout his career, he has navigated institutional roles across Russia, Australia, and the Netherlands while maintaining his status as a researcher in number theory.
Fast facts
- Born: 2000
- Citizenship: Russia
- Academic Degree: Doctor of Sciences in Physics and Mathematics
- Primary Field: Number Theory
- Employer: Radboud University (2017-present)
- Employer: University of Newcastle (2009-2018)
- Employer: Lomonosov Moscow State University (1996-2008)
- Award: Distinguished Award of the Hardy-Ramanujan Society (2001)
Questions readers ask
What is Wadim Zudilin's primary area of study?
He specializes in number theory, with specific focuses on zeta functions, hypergeometric functions, and computational mathematics.
What is his most significant contribution to number theory?
He proved that at least one of the four numbers ζ(5), ζ(7), ζ(9), or ζ(11) is irrational, extending established knowledge regarding Apéry's theorem.
Achievements
- Held posts at Lomonosov Moscow State University, Radboud University and University of Newcastle
- Fields: number theory, computational mathematics and mathematics
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