The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13–19, 2022. (English) Zbl 1506.00066
Summary: The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and hyperbolic polynomials, the Laguerre-Pólya class of entire functions, Pólya frequency sequences, total positivity for sequences and functions, and zeros of generating functions arising in probability and combinatorics.
MSC:
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 30-06 | Proceedings, conferences, collections, etc. pertaining to functions of a complex variable |
| 05-06 | Proceedings, conferences, collections, etc. pertaining to combinatorics |
| 26Cxx | Polynomials, rational functions in real analysis |
| 30Dxx | Entire and meromorphic functions of one complex variable, and related topics |
| 05Cxx | Graph theory |
| 11Mxx | Zeta and \(L\)-functions: analytic theory |
| 32Axx | Holomorphic functions of several complex variables |
| 37Fxx | Dynamical systems over complex numbers |
| 11Y65 | Continued fraction calculations (number-theoretic aspects) |
| 15A15 | Determinants, permanents, traces, other special matrix functions |
| 15B05 | Toeplitz, Cauchy, and related matrices |
| 30B70 | Continued fractions; complex-analytic aspects |
| 30H15 | Nevanlinna spaces and Smirnov spaces |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
| 42C05 | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82C20 | Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics |
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