4 papers · 1 filter
Irreducible polynomials with restricted digits in base
Juan Arévalo, Matilde Lalín
We study monic irreducible polynomials over whose non-leading digits, with respect to an arbitrary polynomial base , avoid a prescribed set of forbidden dig…
Distributions of left prime truncations
Vivian Kuperberg, Matilde Lalín
The prime number 357686312646216567629137 is notable because of the unusual property that it remains prime successively on removing the left digit until there are no remaining digi…
The shifted convolution problem in function fields
Alexandra Florea, Matilde Lalín, Amita Malik +1
We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of where runs over moni…
Arithmetic constants for symplectic variances of the divisor function
Vivian Kuperberg, Matilde Lalín
In [arXiv:2212.04969], the authors stated some conjectures on the variance of certain sums of the divisor function over number fields, which were inspired by analogous res…