On the application of Turán's method to the theory of Dirichlet L-functions
On the approximability of the logarithms of algebraic numbers
On the approximation of certain infinite products.
On the Approximation of Quaternions.
On the approximation of real numbers by roots of integers
On the archimedean theory of Rankin-Selberg convolutions for
On the arithmetic mean of Dedekind sums
On the arithmetic of an elliptic curve over a -extension
On the arithmetic of arithmetical congruence monoids
Let ℕ represent the positive integers and ℕ₀ the non-negative integers. If b ∈ ℕ and Γ is a multiplicatively closed subset of , then the set is a multiplicative submonoid of ℕ known as a congruence monoid. An arithmetical congruence monoid (or ACM) is a congruence monoid where Γ = ā consists of a single element. If is an ACM, then we represent it with the notation M(a,b) = (a + bℕ₀) ∪ 1, where a, b ∈ ℕ and a² ≡ a (mod b). A classical 1954 result of James and Niven implies that the only ACM...
On the arithmetic of certain intersections of two quadrics.
On the arithmetic of certain modular curves
On the arithmetic of cross-ratios and generalised Mertens’ formulas
We develop the relation between hyperbolic geometry and arithmetic equidistribution problems that arises from the action of arithmetic groups on real hyperbolic spaces, especially in dimension . We prove generalisations of Mertens’ formula for quadratic imaginary number fields and definite quaternion algebras over , counting results of quadratic irrationals with respect to two different natural complexities, and counting results of representations of (algebraic) integers by binary quadratic, Hermitian...
On the arithmetic of genus two fibrations
On the arithmetic of J0 (N) new.
On the arithmetic of quaternion algebras
On the arithmetic of Siegel-Hilbert cuspforms: Petersson inner products and Fourier coefficients.
On the arithmetic of some division algebras.
On the Arithmetic of Special Values of L Functions.
On the arithmetic of the hyperelliptic curve
We study the arithmetic properties of hyperelliptic curves given by the affine equation by exploiting the structure of the automorphism groups. We show that these curves satisfy Lang’s conjecture about the covering radius (for some special covering maps).
On the arithmetic of twists of superelliptic curves