The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
The Hausdorff dimension of sets arising in metric Diophantine approximation
The Hausdorff dimension of sets related to g-expansions
The Hausdorff dimension of systems of linear forms
The Hawkins sieve and brownian motion
The Heegner-Stark-Baker-Deuring-Siegel Theorem.
The Heisenberg uncertainty relation in harmonic analysis on -adic numbers field
In this paper, two important geometric concepts–grapical center and width, are introduced in -adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in -adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on -adic numbers field.
The Hilbert Modular Group for the Field ...(...13).
The Hilbert modular group, resolution of the singularities at the cusps and related problems
The Hilbert Modular Surface for the Ideal (...5) and the Horrocks-Mumford Bundle.
The Hilbert pairing for formal groups over -rings.
The Hilbert symbol for tamely ramified Abelian extension of 2-adic number fields.
The Hilbert-Kunz Function.
The Hirzebruch-Mumford volume for the orthogonal group and applications.
The homology of cyclic branched covers of S3.
The homology of irregular dihedral branched covers of S3.
The Hooley-Huxley contour method for problems in number fields III : frobenian functions
In this paper we study finite valued multiplicative functions defined on ideals of a number field and whose values on the prime ideals depend only on the Frobenius class of the primes in some Galois extension. In particular we give asymptotic results when the ideals are restricted to “small regions”. Special cases concern Ramanujan's tau function in small intervals and relative norms in “small regions” of elements from a full module of the Galois extension.
The hybrid mean value of Dedekind sums and two-term exponential sums
In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
The hybrid power mean of quartic Gauss sums and Kloosterman sums
The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
The hyperadelic gamma function.