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math.AG2024
Algebraic valued group structures on , Kontsevich-type polynomials, and multiplication formulas, I
Victor Buchstaber, Ilia Gaiur, Vladimir Rubtsov
The theory of a two-valued algebraic group structure on a complex plane and complex projective line is developed. In this theory, depending on the choice of the neutral element, th…
math.AG2024
Product formulas for the Higher Bessel functions
Ilia Gaiur, Vladimir Rubtsov, Duco van Straten
We consider the generating function for the reciprocals -th power of factorials. We show a connection of product formulas for such series with the periods for certain…
math.AG2021★ 1 cited
Isomonodromic deformations: Confluence, Reduction Quantisation
Ilia Gaiur, Marta Mazzocco, Vladimir Rubtsov
In this paper we study the isomonodromic deformations of systems of differential equations with poles of any order on the Riemann sphere as Hamiltonian flows on the product of co-a…