3 papers
math.CA2026
Mehler formula for Wronskians of Hermite polynomials
Alexey Kuznetsov, Minjian Yuan
We prove that the bilinear generating function for Wronskians of Hermite polynomials can be expressed as the classical Mehler kernel multiplied by a polynomial, thereby extending t…
math.NT2025
Simple and accurate approximations to the Riemann zeta function
Alexey Kuznetsov
We develop approximations for the Riemann zeta function that enable high-precision computation within the critical strip and other vertical strips. These approximations combine the…
math.NT2023
Series expansions for the Riemann zeta function
Alexey Kuznetsov
We prove a general result on representing the Riemann zeta function as a convergent infinite series in a complex vertical strip containing the critical line. We use this result to…