Number Theory

    

On Prime Numbers and Riemann Zeros

Authors: Lucian M Ionescu

Intuitively, prime numbers of ``Number systems'' (rings) are the building blocks of their elements. We start from natural numbers and Gaussian integers to explain more general frameworks, like the structure theorem for finitely generated Abelian groups. We end with a 1 million dollar puzzle, the Riemann Hypothesis, and point to the fact that prime numbers are dual to the Riemann zeros. Some easy references are provided.

Comments: 7 Pages. Article based on the ISU Algebra Seminar presentation available at https://about.illinoisstate.edu/lmiones/research/ with the same title.

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Submission history

[v1] 2022-04-18 15:34:46

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