Transcendence in algebra, combinatorics, geometry and number theory : TRANS19 -- Transient Transcendence in Transylvania, Braşov, Romania, May 13-17, 2019, Revised and extended contributions / Alin Bostan, Kilian Raschel, editors
Frobenius action on a hypergeometric curve and an algorithm for computing values of Dworks p-adic hypergeometric functions (Asakura) -- A Matrix version of Dworks Congruences (Beukers) -- On the kernel curves associated with walks in the quarter plane (Singer) -- A survey on the hypertranscendence of the solutions of the Schroder's, Bottcher's and Abel's equations (Fernandes) -- Hodge structures and dierential operators (Vlasenko) -- Beck-type identities for Euler pairs of order (Welch et al.) -- Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models (Xu et al.) -- Infinite product formulae for generating functions for sequences of squares (Radu et al.) -- A theta identity of Gauss connecting functions from additive and multiplicative number theory (Merca) -- Combinatorial quantum eld theory and the Jacobian conjecture (Tanasa) -- How regular are regular singularities? (Hauser) -- Neron desingularization of extensions of valuation rings with an appendix by kestutis cesnavicius (Popescu) -- Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes (Yurkevich) -- Proof of chudnovskys hypergeometric series for 1 using weber modular polynomials (Guillera).-Computing an order-complete basis for m(n) and applications (Radu et al.) -- An algorithm to prove holonomic differential equations for modular forms (Radu et al.) -- A case study for Si4 (zudilin et al.) -- Support of an algebraic series as the range of a recursive sequence (bell) -- X-coordinates of pell equations in various sequences (luca) -- A conditional proof of the leopoldt conjecture for cm fields (mihailescu) -- Siegels problem for e-functions of order 2 (Roques et al.) -- Irrationality and Transcendence of Alternating Series Via Continued Fractions (Snowdow) -- On the transcendence of critical hecke l-values (sprang)
Summary
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brasov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees
