David Gallouin

A Galois–Siegel Grand Theory for Ramanujan's Prime Dissections: From the Common Cyclic Cover to Explicit Cubic Houses at Conductors 19, 37, 73, 97, and 109

We build on a previously proved Galois–Siegel framework for Ramanujan's prime dissections. The normalized Euler, phi and psi radicands generate one cyclic modular-function extension with Galois group (Z/pZ)^*/{±1}, and prime-index subgroups yield the corresponding auxiliary equat...

Ramanujan's Level-11 Quintic Branch: A Dihedral Kummer-Line Map and a Cyclotomic Phase Ideal

A previous Galois–Siegel framework for Ramanujan's prime dissections places the normalized p-th-power radicands arising from the Euler function, φ, and ψ on one cyclic modular-function cover with Galois group (Z/pZ)×/{±1}. A companion preprint made several cubic stages explicit....

Ramanujan's Level-11 Quintic Branch: A Dihedral Kummer-Line Map and a Cyclotomic Phase Ideal

A previous Galois–Siegel framework for Ramanujan's prime dissections places the normalized p-th-power radicands arising from the Euler function, φ, and ψ on one cyclic modular-function cover with Galois group (Z/pZ)×/{±1}. A companion preprint made several cubic stages explicit....

A Logarithmic Endpoint Refinement for Type-II Navier–Stokes Blow-up Scalings

We record an endpoint refinement for Euler-type rescalings arising in potential Type-II blow-up scenarios for the three-dimensional Navier-Stokes equations. If the scaling function satisfies f(lambda)^2/lambda -> 0, the local kinetic energy of every fixed-scale rescaled slice van...

A Logarithmic Endpoint Refinement for Type-II Navier–Stokes Blow-up Scalings

We record an endpoint refinement for Euler-type rescalings arising in potential Type-II blow-up scenarios for the three-dimensional Navier-Stokes equations. If the scaling function satisfies f(lambda)^2/lambda -> 0, the local kinetic energy of every fixed-scale rescaled slice van...