On the metric theory of continued fractions
On the metric theory of continued fractions
On the metric theory of inhomogeneous diophantine approximations
On the Metric Theory of the Nearest Integer Continued Fraction expansion.
On the Milnor exact sequence for global function fields
On the Milnor -groups of complete discrete valuation fields.
On the minimum of the unit lattice
On the Möbius function.
On the Möbius sum function
On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials
On the modular curve . (Sur la courbe modulaire .)
On the modular curve . (Sur la courbe modulaire .)
On the moduli of quasi-canonical liftings
On the modulus of the Riemann zeta function in the critical strip
On the moments of the Carmichael λ function
On the multiples of a badly approximable vector
Let d be a positive integer and α a real algebraic number of degree d + 1. Set . It is well-known that , where ||·|| denotes the distance to the nearest integer. Furthermore, for any integer n ≥ 1. Our main result asserts that there exists a real number C, depending only on α, such that for any integer n ≥ 1.
On the Multiplicative Group Generated by a Dense Sequence of Integers.
On the multiplicative independence of binomial coefficients
On the multiplicative order of modulo .
On the multiplicities of binary complex recurrences