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
On the -torsion subgroup of the Brauer group of a number field
Given a number field Galois over the rational field , and a positive integer prime to the class number of , there exists an abelian extension (of exponent ) such that the -torsion subgroup of the Brauer group of is equal to the relative Brauer group of .
On the natural density of the range of the terminating nines function.
On the Néron model of jacobians of Shimura curves
On the Newton stratification
On the (non-)contractibility of the order complex of the coset poset of an alternating group
On the nonessential discriminant divisor of an algebraic number field
On the nonexcellence of field extensions .
On the non-existence of abelian conditions governing solvability of the - 1 Pell equation.
On the (non-)existence of m-cycles for generalized Syracuse sequences
On the non-existence of simple congruences for quotients of Eisenstein series
On the non-holonomic character of logarithms, powers, and the th prime function.
On the non-linear sieve