Harmonic analysis on semisimple -adic Lie algebras.
Harmonic Differentials and Closed Geodesics on a Riemann Surface.
Harmonic measures versus quasiconformal measures for hyperbolic groups
We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this dimension is maximal. Our approach is based on the Green metric, a metric which provides a geometric point of view on random walks and, in particular, which allows us to interpret harmonic measures as quasiconformal measures on the boundary of the group.
Harmonic number identities via Euler's transform.
Harmonic properties of some arithmetical sequences.
Harmonic properties of the sum-of-digits function for complex bases
Harmonic weak Maass-modular grids in higher level cases
We extend Guerzhoy's Maass-modular grids on the full modular group SL₂(ℤ) to congruence subgroups Γ₀(N) and Γ₀⁺(p).
Hasse invariant and group cohomology.
Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
Hasse principle for Hopf maps.
Hasse principle for the Hurwitz problem.
Hasse Principles in algebraic equations
Hasse's Class Number Product Formula for Generalized Dirichlet Fields and other types of Number Fields.
Hasse's principle for simple algebras over function fields of curves. I. Algebras of index 2 and 3; curves of genus 0 and 1.
Hasse's principle for systems of ternary quadratic forms and for one biquadratic form
Hasse’s problem for monogenic fields
In this article we shall give a survey of Hasse’s problem for integral power bases of algebraic number fields during the last half of century. Specifically, we developed this problem for the abelian number fields and we shall show several substantial examples for our main theorem [7] [9], which will indicate the actual method to generalize for the forthcoming theme on Hasse’s problem [15].
Hasse-Witt matrices and Kummer extension
A simple calculation of the Hasse-Witt matrix is used to give examples of curves which are Kummer coverings of the projective line and which have easily determined p-rank. A family of curve carrying non-classical vector bundles of rank 2 is also given.
Hasse-Witt-Invariants and Dihedral Extension.
Hausdorff dimension and a generalized form of simultaneous Diophantine approximation
Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.