3 papers
math.NT2018
Large sieve with sparse sets of moduli for
Stephan Baier, Arpit Bansal
We establish a general large sieve inequality with sparse sets of moduli in the Gaussian integers which are in a sense well-distributed in arithmetic progressions. Th…
math.NT2018
Divisibility problems for function fields
Stephan Baier, Arpit Bansal, Rajneesh Kumar Singh
We investigate three combinatorial problems considered by Erdös, Rivat, Sarközy and Schön regarding divisibility properties of sum sets and sets of shifted products of integers in…
math.NT2018
The large sieve with power moduli for
Stephan Baier, Arpit Bansal
We establish a large sieve inequality for power moduli in , extending earlier work by L. Zhao and the first-named author on the large sieve for power moduli for the…