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math.NT2026
Simple and accurate approximations to Dirichlet -functions
Alexey Kuznetsov
We extend the quadrature method developed in [10] to Dirichlet -functions associated with primitive characters. The approximations combine finite Dirichlet sums with correction…
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…