A mean value density theorem of additive number theory
A mean value estimate for real character sums
A mean value related to the D. H. Lehmer problem and Kloosterman sums
A mean value theorem for the Dedekind Zeta-Function of a quadratic number field.
A mean value theorem for the square of class number times regulator of quadratic extensions
Let be a number field. In this paper, we give a formula for the mean value of the square of class number times regulator for certain families of quadratic extensions of characterized by finitely many local conditions. We approach this by using the theory of the zeta function associated with the space of pairs of quaternion algebras. We also prove an asymptotic formula of the correlation coefficient for class number times regulator of certain families of quadratic extensions.
A mean value theorem of Bombieri's type
A mean value theorem on differences of two k-th powers of numbers in residue classes.
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary
A Mean-Value Theorem for Multiplicative Functions.
A measure-theoretic approach to the invariants of the Selberg class
A Menon-type identity using Klee's function
Menon’s identity is a classical identity involving gcd sums and the Euler totient function . A natural generalization of is the Klee’s function . We derive a Menon-type identity using Klee’s function and a generalization of the gcd function. This identity generalizes an identity given by Y. Li and D. Kim (2017).
A Method for Exact Calculation of the Stardiscrepancy of Plane Sets Applied to the Sequences of Hammersley.
A method for solving equations in finite fields
A method in diophantine approximation (II)
A method in diophantine approximation V
A metric discrepancy estimate in higher dimensions using methods.
A metric result on the pair correlation of fractional parts of sequences
A metric theorem for restricted Diophantine approximation in positive characteristic
A million new amicable pairs.
A mixed Monte Carlo and quasi-Monte Carlo sequence for multidimensional integral estimation.