The Riemann Hypothesis and its Relationship to the Riemann Zeta Function: Conjectures and Computational Investigations – National University of Sciences and Technology (NUST)

Seminars and Workshops The Riemann Hypothesis and its Relationship to the Riemann Zeta Function: Conjectures and Computational Investigations

Topic of Research Seminar: The Riemann Hypothesis and its Relationship to the Riemann Zeta Function: Conjectures and Computational Investigations

Abstract: The Riemann Hypothesis, one of the most significant unsolved problems in mathematics, remains a central focus of research in number theory. This hypothesis, formulated by the German mathematician Bernhard Riemann in 1859, concerns the non-trivial zeros of the Riemann zeta function, a complex-valued function intimately connected to the distribution of prime numbers. The Riemann Hypothesis posits that all these non-trivial zeros lie on a specific critical line in the complex plane. In this presentation, we delve into the origins of the Riemann Hypothesis and explore its profound implications for prime number theory. We will also discuss various conjectures and computational methods used in attempts to validate the hypothesis, highlighting the ongoing efforts to solve this enduring mathematical mystery.

Subject Field of Topic: Analysis

Name of Speaker: Ms. Haleema Sadia

Professorial Rank of Speaker: (PhD Scholar-Mathematics Department)

Email of Speaker: [email protected]

Affiliation of Speaker: School of Natural Sciences (SNS), NUST

Date and Venue: (Wednesday) 18 October 2023, 1530 hrs, at CR # 202 (New Building SNS, NUST Islamabad Campus