An Asymptotic Formula in the Theory of Numbers. II:
An Asymptotic Formula in the Theory of Numbers. III.
An asymptotic formula related to the divisors of the quaternary quadratic form
Let d(n) stand for the Dirichlet divisor function. We give an asymptotic formula for with the help of the circle method.
An asymptotic formula relating the Siegel zero and the class number of quadratic fields
An asymptotic inequality concerning primes in contours for the case of quadratic number fields
An Asymptotic Relation Between the Extreme Discrepancy and the Lp-Discrepancy.
An Asymptotic Series for an Additive Divisor Problem.
An asymptotic series for the mean value of Dirichlet L-functions.
An average form of Artin's conjecture
An average formula for the class number
An awful problem about integers in base four
An axiomatization of Nesterenko's method and applications on Mahler functions II
An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field
An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type
In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.
An effective estimate for the density of zeros of Hecke-Landau zeta-functions
An effective lower bound for a certain exponential function
An effective lower bound for the height of algebraic numbers
An effective order of Hecke-Landau zeta functions near the line σ=1, II (some applications)
An effective order of Hecke-Landau zeta functions near the line σ = 1. I
An effective p-adic analogue of a theorem of Thue