3 papers
math.CA2026
Hausdorff-Young inequalities for Fourier products indexed by binary cubes
Tonći Crmarić, Jelena Rupčić
We study nonlinear logarithmic Hausdorff-Young inequalities with constant for -valued Fourier products indexed by binary cubes. The inequalities are proved fo…
math.CA2025
Inequalities in Fourier analysis on binary cubes
Tonći Crmarić, Vjekoslav Kovač, Shobu Shiraki
This paper studies two classical inequalities, namely the Hausdorff-Young inequality and equal-exponent Young's convolution inequality, for discrete functions supported in the bina…
math.NT2025
On the irrationality of certain super-polynomially decaying series
Tonći Crmarić, Vjekoslav Kovač
We give a negative answer to a question by Paul Erdős and Ronald Graham on whether the series \[ \sum_{n=1}^{\infty} \frac{1}{(n+1)(n+2)\cdots(n+f(n))} \] has an irrational sum whe…