Efficient congruencing in ellipsephic sets: the quadratic case
Journal article, 2021

We bound the number of solutions to a quadratic Vinogradov system of equations in which the variables are required to satisfy digital restrictions in a given base. Certain sets of permitted digits, namely those giving rise to few representations of natural numbers as sums of elements of the digit set, allow us to obtain better bounds than would be possible using the size of the set alone.

missing digits

Hardy-Littlewood method

efficient congruencing


Kirsti Biggs

University of Gothenburg

Chalmers, Mathematical Sciences, Algebra and geometry

Acta Arithmetica

0065-1036 (ISSN)

Vol. 200 4 331-348

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