Fresnel zones on the screen.
Frobenius distributions for real quadratic orders
We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.
Frobenius groups and integral bases.
Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree
For each integer s ≥ 1, we present a family of curves that are -Frobenius nonclassical with respect to the linear system of plane curves of degree s. In the case s=2, we give necessary and sufficient conditions for such curves to be -Frobenius nonclassical with respect to the linear system of conics. In the -Frobenius nonclassical cases, we determine the exact number of -rational points. In the remaining cases, an upper bound for the number of -rational points will follow from Stöhr-Voloch...
Frobenius numbers by lattice point enumeration.
Frobenius pour les sommes de Selberg.
Fröhlich's and Chinburg's conjectures in the factorisability defect class group.
From a polynomial Riemann hypothesis to alternating sign matrices.
From double Hecke algebra to analysis.
From explicit estimates for primes to explicit estimates for the Möbius function
From Planck to Ramanujan : a quantum noise in equilibrium
We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Euler generating function for unrestricted partitions ). Thermodynamical quantities carry a strong arithmetical structure : they are given by series with Fourier coefficients equal to summatory functions of the power of divisors, with for the free energy, for the number of particles and for the internal energy. Low...
From pseudodifferential analysis to modular form theory
Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
From recursions to asymptotics: On Szekeres' formula for the number of partitions.
From the algebras of Riemann polyzetas to the algebra of Hurwitz polyzetas. (De l'algèbre des de Riemann multivariées à l'algèbre des de Hurwitz multivariées.)
From the elliptic regulator to exotic relations.
From the Taniyama-Shimura conjecture to Fermat's last theorem
Frontière du fractal de Rauzy et système de numération complexe
Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung x2 + y2 + z2 = xyz.
Führer, Diskriminante und Verzweigungskörper relativ-Abelscher Zahlkörper.
Full subsets of .