What One Should Know About Riemann But May Not Know? Riemann's Influence in Geometry, Analysis and Number Theory Riemann-s Saddle-point Method and the Riemann-Siegel Formula The Period Matrices and Theta Functions of Riemann Riemann's Hypothesis Extension of Holomorphic Functions Defined on Non Reduced Analytic Subvarieties Bundles with Extra Geometric or Dynamic Structure The Theory of Shock Waves: From Riemann through Today Riemann's Existence Theorem The Historical Roots of the Concept of Riemann Surfaces The Story of Riemann's Moduli Space Riemann and the Modern Concept of Space Survey on Analytic and Topological Torsion The Riemann Minimal Examples Manifolds of Mappings and Shapes The Riemann Hypothesis over Finite Fields: From Weil to the Present Day The Riemann-Hurwitz Formula Early History of the Riemann Hypothesis in Positive Characteristic Riemann's Influence in Number Theory from a Computational and Experimental Perspective Riemann Problem and Shock Capturing Schemes A Discourse on the Measurable Riemann Mapping Theorem & Incompressible Fluid Motion The Mertens Conjecture Hodge Structures, Coniveau and Algebraic Cycles
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