On the equation
On the equation
In this paper we investigate the solutions of the equation in the title, where is the Euler function. We first show that it suffices to find the solutions of the above equation when and and are coprime positive integers. For this last equation, we show that aside from a few small solutions, all the others are in a one-to-one correspondence with the Fermat primes.
On the equivariant main conjecture of Iwasawa theory
On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field.
On the equivariant Tamagawa number conjecture for Tate motives. II.
On the Erdős-Turán inequality for balls
On the ergodicity of the Weyl sums cocycle
On the error function in the asymptotic formula for the counting function of k-full numbers
On the Error Term for the Counting Functions of Finite Abelian Groups.
On the error term in multidimensional diophantine approximation
On the error term in the linear sieve
On the Error Term in the Mean Square Formula for the Riemann Zeta-Function in the Critical Strip.
On the error term in Weyl's law for Heisenberg manifolds
On the error term of an asymptotic formula of Ramanujan
On the error term of the logarithm of the lcm of a quadratic sequence
We study the logarithm of the least common multiple of the sequence of integers given by . Using a result of Homma [5] on the distribution of roots of quadratic polynomials modulo primes we calculate the error term for the asymptotics obtained by Cilleruelo [3].
On the error term of the mean square formula for the Riemann zeta-function in the critical strip 3/4 < σ < 1
On the estimates of double exponential sums
On the estimation of certain exponential sums
On the estimation of Schnirelman's constant.
On the Euclidean minimum of some real number fields
General methods from [3] are applied to give good upper bounds on the Euclidean minimum of real quadratic fields and totally real cyclotomic fields of prime power discriminant.