ARCTIC NUMBER THEORY WORKSHOP

15-20 JUNE 2013 SAARISELKÄ, LAPLAND, FINLAND

DIOPHANTINE AND TRANSCENDENTAL METHODS

Program

Here is a tentative program.

Tentative list of presentation topics:

Adamczewski Boris: The many faces of the Kempner number
Akhtari Shabnam: Thue equations and inequalities.
Amou Masaaki: Transcendence and algebraic independence of certain infinite products
Bennett Mike, 1st lecture: Integral points on congruent number curves, 2ns lecture: Effective S-unit equations (2 hours)
Beukers Frits: Hypergeometric functions and Padé approximations (2 hours)
Besson Etienne: Zero estimates for polynomials in certain special functions
Blanco-Chacón Iván: Quadratic modular symbols and p-adic L-functions for Shimura curves
Bravo Grijalba Jhon Jairo: On a conjecture about repdigits in k-generalized Fibonacci sequences
Bugeaud Yann, 1st lecture: Exponents of Diophantine approximation and Hausdorff dimension, 2nd lecture: Diophantine properties of the Thue--Morse--Mahler numbers (2 hours)
Bujac̆ić Sanda: The problem of the extension of a parametric family of diophantine triples
Guzmán Sanchez Sergio: Linear combination of factorials and S-units in a binary recurrence sequence
Hanc̆l Jaroslav: Lebesgue measure and Hausdorff dimension of special sets of real numbers from (0,1)
Hussain Mumtaz: The badly approximble sets in projective space
Ingram Patrick: Diophantine aspects of dynamical systems
Jassova Alena: p-adic continued fraction map
Jouhet, Frédéric: Some arithmetical and diophantine applications of q-series
Karpuk David: Counting algebraic integers and coding over fading channels
Kolouch Ondr̆ej: Irrationality of infinite products
Kristensen Simon: Fourier transforms, discrepancy and Littlewood type problems
Leinonen Marko: Restricted irrational measures for the values of q-exponential functions
Leppälä Kalle: Asymptotic conditions on partial coefficients
Matala-aho Tapani: On Diophantine inequalities
Novotný Lukás̆: On expressible sets for products
Oswald Nicola: Diophantine approximations of Complex numbers
Palmer Matthew: Diophantine approximation in p-adic solenoids
Petrykiewichz Isabela: Differentiability of Fourier series of the form --
Rochev Igor: A quantitative version of the Beukers Bézivin Robba proof of the Lindemann Weierstrass theorem
Vlasenko Masha: Dwork's congruences and p-adic overconvergence
Zudilin Wadim: Mahler measure and L-values (3 hours)

If you have any questions, please send e-mail to lukuteoria2012(at)gmail.com.