2 papers
math.NT2012
Piatetski-Shapiro sequences
Roger C. Baker, William D. Banks, Jörg Brüdern +2
We consider various arithmetic questions for the Piatetski-Shapiro sequences $\fl{n^c}$ () with , . We exhibit a positive function with the pro…
math.NT2010
Random diophantine equations of additive type
Jörg Brüdern, Rainer Dietmann
Using the circle method in combination with lattice point counting arguments, we show that for almost all homogeneous diophantine equations of additive type and degree in more…