The distribution of the values of a rational function modulo a big prime
Given a large prime number and a rational function defined over , we investigate the size of the set , where and denote the least positive representatives of and in modulo .
The distribution of totients.
The Distribution Of Values Of Some Multicaptive Functions
The distribution of values of the Euler function
The divisor function in arithmetic progressions
The divisor function on residue classes I
The divisor function over arithmetic progressions
The divisor problem for arithmetic progressions
The divisor problem for arithmetic progressions with small modulus
The divisor problem for binary cubic forms
We investigate the average order of the divisor function at values of binary cubic forms that are reducible over and discuss some applications.
The divisor problem for (k, r)-integers. II.
The divisors of integers II
The EKG sequence.
The equation n₁n₂ = n₃n₄, the gcd-sum function and the mean values of certain character sums
The Erdhős-Kac Theorem for Curvatures in Integral Apollonian Circle Packings
The Erdős and Halberstam theorems for Drinfeld modules of any rank (with an appendix by Hugh Thomas)
The Erdős Theorem and the Halberstam Theorem in function fields
The exponential sum over squarefree integers
The first case of Fermat's last theorem.
The Fourth Moment of Ramanujan ..-Function.