Holding the Line: How Haar Measure, Functional Symmetry, and Compactness Force the Riemann Hypothesis We prove that all non-trivial zeros of the Riemann zeta function ζ(s) lie on the critical line Re(s) = 1/2. We establish this result via three independent proofs using different mathematical framework...

Toupin, D. (2025). Holding the Line: How Haar Measure, Functional Symmetry, and Compactness Force the Riemann Hypothesis. Zenodo. doi.org/10.5281/zeno...

#Skyence #NumberTheory #SpectralTheory #MeasureTheory #ComplexAnalysis #BrownianMotion #RiemannHypothesis #ZetaFuction #MillenniumPrizeProblems

🆕🎬Wave propagation in guiding structures
erri, Alessandra (2025). Dimension reduction in thin domains - Lecture 1 &2. CIRM. Audiovisual resource.
dx.doi.org/10.24350/CIR...
dx.doi.org/10.24350/CIR...
@cirm-math.bsky.social #math #conference #MathematicalPhysics #FunctionalAnalysis #SpectralTheory

Advances and Open Problems in Spectral Theory of Matrix Sequences

A 24‑page arXiv manuscript surveys recent advances from Toeplitz to GLT frameworks and lists open problems, released 23 Sep 2025. Read more: getnews.me/advances-and-open-proble... #spectraltheory #matrixsequences

(PDF) On the McLaughlin–Rundell theorem PDF | We give a one-sentence proof of McLaughlin and Rundell's inverse uniqueness theorem. | Find, read and cite all the research you need on ResearchGate

One-sentence proof of McLaughlin and Rundell's inverse uniqueness theorem

#spectraltheory #Schrödinger #inverseproblems

Spectral identities for Schrödinger operators | Canadian Mathematical Bulletin | Cambridge Core Spectral identities for Schrödinger operators - Volume 68 Issue 2

"Spectral identities for Schrödinger operators" has now been published in the paginated issue. #OpenAccess @cambridgeup.bsky.social

doi.org/10.4153/S000...

#spectraltheory #Schrödinger #inverseproblems

Inverse square singularities and eigenparameter-dependent boundary conditions are two sides of the same coin Abstract. We show that inverse square singularities can be treated as boundary conditions containing rational Herglotz–Nevanlinna functions of the eigenval

“Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin” can be freely accessed at
academic.oup.com/qjmath/artic...

#spectraltheory #inverseproblems #Bessel #Darboux #Schrödinger #supersymmetry