Sums of three cubes in three linked three-progressions. Antal Balog; Brüdern Jörg — 1995 Journal für die reine und angewandte Mathematik
On the sum of dilations of a set Antal Balog; George Shakan — 2014 Acta Arithmetica We show that for any relatively prime integers 1 ≤ p < q and for any finite A ⊂ ℤ one has | p · A + q · A | ≥ ( p + q ) | A | - ( p q ) ( p + q - 3 ) ( p + q ) + 1 .
On the number of solutions of exponential congruences Antal Balog; Kevin A. Broughan; Igor E. Shparlinski — 2011 Acta Arithmetica
The arithmetic of the coefficients of half-integral weight Eisenstein series Antal Balog; William J. McGraw; Ken Ono — 2003 Acta Arithmetica