- A Simple Proof of the Riemann Hypothesis
2022/09/05 by Hatem A. Fayed, Fayed, Hatem A. · 1 voice
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Arithmetic zeta function #Critical line #Explicit formulae #Function (biology) #Geometry #Line (geometry) #Mathematical analysis #Mathematics #Particular values of Riemann zeta function #Physics #Prime zeta function #Proof of the Euler product formula for the Riemann zeta function #Pure mathematics #Riemann Xi function #Riemann hypothesis #Riemann zeta function #Simple (philosophy) #Z function #Zero (linguistics) #math.GM #msc:11M26
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
1999/04/01 by Alain Connes, A. Connes · 6 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #Arithmetic zeta function #Explicit formulae #Interpretation (philosophy) #Mathematical analysis #Mathematics #Noncommutative geometry #Particular values of Riemann zeta function #Prime zeta function #Pure mathematics #Riemann Xi function #Riemann hypothesis #Riemann zeta function #Selberg trace formula #TRACE (psycholinguistics)
- The Riemann Zeros and Eigenvalue Asymptotics
1999/01/01 by Michael Berry, Jonathan P. Keating · 7 citations
Physics and Astronomy · Mathematics · Chemistry · #Quantum chaos and dynamical systems #Mathematical Dynamics and Fractals #Molecular spectroscopy and chirality #Semiclassical physics #Riemann hypothesis #Riemann zeta function #Hamiltonian (control theory) #Eigenvalues and eigenvectors #Mathematics #Mathematical physics #Random matrix #Explicit formulae #Logarithm #Riemann surface #Quantum #Mathematical analysis #Physics #Quantum mechanics