The density of the set of sums
The Diophantine equation
It is shown that for a given squarefree positive integer D, the equation of the title has no solutions in integers x > 0, m > 0, n ≥ 3 and y odd, nor unless D ≡ 14 (mod 16) in integers x > 0, m = 0, n ≥ 3, y > 0, provided in each case that n does not divide the class number of the imaginary quadratic field containing √(-2D), except for a small number of (stated) exceptions.
The diophantine equations .
The distance between terms of an algebraic recurrence sequence.
The distribution of trees.
The distribution of Farey numbers.
The Distribution of Farey Points.
The distribution of second order linear recurrence sequences mod
The distribution of the sum-of-digits function
By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.
The divisor function on residue classes I
The EKG sequence.
The equation and related dispersions.
The equation x+y=1 in finitely generated groups
The Erdős-Ginzburg-Ziv theorem in Abelian non-cyclic groups.
The Erdős-Heilbronn problem for finite groups
The Erdős-Turán property for a class of bases
The Euler series transformation and the binomial identities of Ljunggren, Munarini and Simons.
The factor-difference set of integers
The Family of Metallic Means
The Fibonacci number of a grid graph and a new class of integer sequences.