Displaying similar documents to “Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces”

On the Euler function of repdigits

Florian Luca (2008)

Czechoslovak Mathematical Journal

Similarity:

For a positive integer n we write φ ( n ) for the Euler function of n . In this note, we show that if b > 1 is a fixed positive integer, then the equation φ x b n - 1 b - 1 = y b m - 1 b - 1 , where x , y { 1 , ... , b - 1 } , has only finitely many positive integer solutions ( x , y , m , n ) .

On the almost Goldbach problem of Linnik

Jianya Liu, Ming-Chit Liu, Tianze Wang (1999)

Journal de théorie des nombres de Bordeaux

Similarity:

Under the Generalized Riemann Hypothesis, it is proved that for any k 200 there is N k > 0 depending on k only such that every even integer N k is a sum of two odd primes and k powers of 2 .