"Light" Reading
Number of Solutions of Equations in Finite Fields, by André Weil (https://www.ams.org/journals/bull/1949-55-05/S0002-9904-1949-09219-4/S0002-9904-1949-09219-4.pdf)
A 1940 Letter of André Weil on Analogy in Mathematics, translated by Martin H. Krieger (http://www.ams.org/notices/200503/fea-weil.pdf)
Weil conjectures (Youtube lectures), by Richard Borcherds (found within this playlist: https://www.youtube.com/playlist?list=PL8yHsr3EFj53Rwr6ly1oUasJXR2Qerwgj)
The Riemann Hypothesis over Finite Fields: From Weil to the Present Day, by James Milne (https://www.jmilne.org/math/xnotes/pRH.pdf)
The edition of Bernhard Riemann’s collected works: Then and now, by Emmylou Haffner (https://shs.hal.science/halshs-03513267/document)
Collected Works, by Bernhard Riemann (https://drive.google.com/file/d/1Tw8p2o2533221JvLK1Zs3GkoMP1zy_-j/view?usp=share_link)
The Riemann hypothesis in various settings, by Terry Tao (https://terrytao.wordpress.com/2013/07/19/the-riemann-hypothesis-in-various-settings/)
Reflections on the Right Use of School Studies with a View to the Love of God, by Simone Weil (https://medium.com/@chrisiacovetti/simone-weil-reflections-on-the-right-use-of-school-studies-with-a-view-to-the-love-of-god-1942-27a2a9b839f7)
Abel Prize interview 2013, by Pierre Deligne (https://www.youtube.com/watch?v=MkNf00Ut2TQ)
The work of E. Artin and F. K. Schmidt on (what are now called) the Weil conjectures, Mathoverflow question by Kevin Buzzard (https://mathoverflow.net/questions/14627/the-work-of-e-artin-and-f-k-schmidt-on-what-are-now-called-the-weil-conject)
Des nombres premiers à la géométrie algébrique (une brève histoire de la fonction zêta), by Pierre Cartier (http://www.numdam.org/item/CSHM_1993_2_3__51_0.pdf)
The Bombieri-Stepanov proof of the Hasse-Weil bound, by Terry Tao (https://terrytao.wordpress.com/2014/05/02/the-bombieri-stepanov-proof-of-the-hasse-weil-bound/)