Hurwitz and Tasoev continued fractions with long period.
Hurwitz continued fractions with confluent hypergeometric functions
Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions . In the application we study some new Hurwitz continued fractions whose closed form can be expressed by using confluent hypergeometric functions.
Hybrid Bounds for Dirichlet L-Functions.
Hybrid joint universality theorem for Dirichlet L-functions
Hybrid mean value for a generalization of a problem of D. H. Lehmer
Hybrid proofs of the -binomial theorem and other identities.
Hybrid sup-norm bounds for Hecke–Maass cusp forms
Let be a Hecke–Maass cusp form of eigenvalue and square-free level . Normalize the hyperbolic measure such that and the form such that . It is shown that for all . This generalizes simultaneously the current best bounds in the eigenvalue and level aspects.
Hyperbolic distribution problems and half-integral weigth Maass forms.
Hyperbolic involutions.
Hyperbolic lattice-point counting and modular symbols
For a cocompact group of we fix a real non-zero harmonic -form . We study the asymptotics of the hyperbolic lattice-counting problem for under restrictions imposed by the modular symbols . We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.
Hyperbolic Lie Algebras and Quasi-Regular Cusps on Hilbert Modular Surfaces.
Hyperbolic manifolds and special values of Dedekind zeta-functions.
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties
The purpose of this article is twofold. The first is to find the dimension of the set of integral points off divisors in subgeneral position in a projective algebraic variety , where k is a number field. As consequences, the results of Ru-Wong (1991), Ru (1993), Noguchi-Winkelmann (2003) and Levin (2008) are recovered. The second is to show the complete hyperbolicity of the complement of divisors in subgeneral position in a projective algebraic variety
Hyperelliptic modular curves
Hyperelliptic modular curves
Hyperelliptic modular curves X₀*(N) with square-free levels
Hypergeometric series and the Riemann zeta function
Hypergeometric series associated with the Hurwitz-Lerch zeta function.
Hyper-Kloosterman sums and estimation of exponential sums of polynomials of higher degrees