On the Analytic Continuation of Rank One Eisenstein Series.
On the analytic theory of quadratic forms
On the Andrianov-type identity for power series attached to Jacobi forms and its application
On the annihilating ideal for trace forms
We give several examples of classes of trace forms for which the ideal of annihilating polynomials is principal. We prove, that in general, the annihilating ideal is not a principal ideal.
On the anticyclotomic main conjecture for CM fields.
On the apostol-bernoulli polynomials
In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
On the appearance of primes in linear recursive sequences.
On the application of the theory of uniform distribution to the solution of differential equations. (Über die Anwendung der Theorie der Gleichverteilung auf die Lösung von Differentialgleichungen.)
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...