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math.NT2019
Lagrange Inversion Theorem for Dirichlet series
Alexey Kuznetsov
We prove an analogue of the Lagrange Inversion Theorem for Dirichlet series. The proof is based on studying properties of Dirichlet convolution polynomials, which are analogues of…
math.CA2019
A new identity for a sum of products of the generalized hypergeometric functions
Dmitrii Karp, Alexey Kuznetsov
Reduction formulas for sums of products of hypergeometric functions can be traced back to Euler. This topic has an intimate connection to summation and transformation formulas, con…