Programme
Plenary lectures, Life Science Building, Lecture Hall F015-F016
Monday
| Speaker | Title | |
| 9:45 – 9:50 | Opening | |
| 9:50 – 10:30 | Robert Tijdeman | The Diophantine equation f (x) = g(y) for polynomials f, g where f has simple rational roots |
| 10:30 – 11:00 | Coffee break | |
| 11:00 – 11:40 | Jerzy Kaczorowski | Classification of L-functions of degree 2 and conductor 1 |
| 11:50 – 12:30 | Cem Yalcin Yildirim | Some analogues of pair correlation of zeta zeros |
Tuesday
| Speaker | Title | |
| 9:00 – 9:40 | Igor Shparlinski | Bilinear forms with Kloosterman and Salie Sums and Moments of L-functions |
| 9:50 – 10:30 | Joël Rivat | Pseudo-random properties of sums and products |
| 10:30 – 11:00 | Coffee break | |
| 11:00 – 11:40 | Robert F. Tichy | Diophantine problems, polynomials and linear recurrences |
| 11:50 – 12:30 | Yann Bugeaud | B’ |
Wednesday
| Speaker | Title | |
| 9:00 – 9:40 | Daniel Goldston | Pair correlation of Zeta-Zeros and two problems on primes |
| 9:40 – 10:10 | Coffee break | |
| 10:10 – 10:50 | Attila Pethő | Generalized radix representations and power integral bases |
| 11:00 – 11:40 | Jan-Hendrik Evertse | Equivalence relations of polynomials |
Thursday
| Speaker | Title | |
| 9:00 – 9:20 | Addresses | |
| 9:20 – 10:10 | Ákos Pintér | Győry 80 + ε |
| 10:10 – 10:40 | Coffee break | |
| 10:40 – 11:30 | Szilárd Révész | Achievements of János Pintz in the theory of primes |
| 11:40 – 12:30 | Cam Stewart | Laudatio for Professor András Sárközy |
Friday
| Speaker | Title | |
| 9:00 – 9:40 | Henryk Iwaniec | The large sieve aberrations |
| 9:50 – 10:30 | Michael Bennett | Differences between squares and perfect powers |
| 10:30 – 11:00 | Coffee break | |
| 11:00 – 11:40 | Arne Winterhof | Pseudorandom binary sequences: Quality measures and constructions |
| 11:50 – 12:30 | Carl Pomerance | Permutations and arithmetic |
| 12:30 – 12:35 | Closing |
Section Talks, Main Building
Monday, Section 1, Lecture Hall XI
| Speaker | Title | |
| 14:00 – 14:20 | Michael Pohst | On solving Mordell's equation |
| 14:30 – 14:50 | Volker Ziegler | On a variant of Pillai's problem with binary recurrences and S-units |
| 15:00 – 15:20 | Tobias Hilgart | On families of cubic split Thue equations parametrised by linear recurrence sequences |
| 15:30 – 15:50 | Ingrid Vukusic | On a family of unit equations over simplest cubic fields |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Francesco Battistoni | Optimization of polynomials for the study of small regulators |
| 16:50 – 17:10 | Myroslav Stoika | On wild p-groups over local factorial rings |
| 17:20 – 17:40 | Péter Sebestyén | Terms of recurrence sequences in the solution sets of generalized Pell equations |
Monday, Section 2, Lecture Hall I
| Speaker | Title | |
| 14:00 – 14:20 | Andrej Dujella | On elliptic curves induced by rational Diophantine quadruples |
| 14:30 – 14:50 | Alan Filipin | Polynomial D(-3)-quadruples |
| 15:00 – 15:20 | Márton Szikszai | On higher power rational Diophantine tuples |
| 15:30 – 15:50 | Gergő Batta | On 3rd power rational Diophantine triples and quadruples |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Gary Walsh | An application of Runge's theorem and Baker's theorem to an effective version of a theorem of Shioda on ranks of elliptic curves |
| 16:50 – 17:10 | Nikola Adžaga | Rational points on quotients of modular curves by Atkin-Lehner involutions |
| 17:20 – 17:40 | Tomislav Gužvić | Torsion groups of elliptic curves with rational j-invariant |
Monday, Section 3, Lecture Hall II
| Speaker | Title | |
| 14:00 – 14:20 | Radan Kučera | A short basis of the Stickelberger ideal of a cyclotomic field |
| 14:30 – 14:50 | Tímea Arnóczki | Jacobi-Whitney numbers |
| 15:00 – 15:20 | Eszter Gyimesi | Associated r-Dowling numbers and some relatives |
| 15:30 – 15:50 | Gabriella Rácz | The r-Fubini-Lah numbers and polynomials |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Krystian Gajdzica | The log-concavity of the restricted partition function pA(n,k) and beyond |
| 16:50 – 17:10 | Victor Fadinger | Integer-valued polynomials on discrete valuation rings of global fields with prescribed lengths of factorizations |
| 17:20 – 17:40 | Tamás Herendi | Construction of uniformly distributed linear recurring sequences over dedekind domains |
Monday, Section 4, Lecture Hall III
| Speaker | Title | |
| 14:00 – 14:20 | Sébastian Ferenczi | A dynamical application of Ostrowki's algorithm |
| 14:30 – 14:50 | Katalin Gyarmati | Pseudorandomness of Legendre sequences based on random polynomials |
| 15:00 – 15:20 | Vishnupriya Anupindi | Pseudorandom sequences from hyperelliptic curves of genus 2 |
| 15:30 – 15:50 | Jared D. Lichtman | A proof of the Erdős primitive set conjecture |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Cathy Swaenepoel | Integers with preassigned digits |
| 16:50 – 17:10 | Maciej Ulas | Values of binary partition function as sums of three squares |
| 17:20 – 17:40 | Bartosz Sobolewski | Monochromatic arithmetic progressions in binary words associated with pattern sequences |
Tuesday, Section 1, Lecture Hall XI
| Speaker | Title | |
| 14:00 – 14:20 | Florian Luca | Recent progress on the Skolem problem |
| 14:30 – 14:50 | László Szalay | Properties of Motzkin triangle |
| 15:00 – 15:20 | Kálmán Liptai | Distribution generated by a random inhomogenous Fibonacci sequence |
| 15:30 – 15:50 | Csaba Rakaczki | Indecomposability of linear combinations of Bernoulli polynomials |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Gökhan Soydan | The elementary and modular approaches to the generalized Ramanujan-Nagell equation |
| 16:50 – 17:10 | Krisztián Gueth | On a Diophantine equation involving k-Fibonacci numbers |
| 17:20 – 17:40 | Orsolya Herendi | Extrema of polynomials with real roots and Diophantine equations |
Tuesday, Section 2, Lecture Hall I
| Speaker | Title | |
| 14:00 – 14:20 | Tamás Lengyel | On the 2-adic valuation of differences of harmonic numbers |
| 14:30 – 14:50 | András Biró | Class number one problem for a family of real quadratic fields |
| 15:00 – 15:20 | Magdaléna Tinková | Trace and norm of indecomposable integers in cubic orders |
| 15:30 – 15:50 | Andrew Scoones | On the abc conjecture in algebraic number fields |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Diana Savin | On quaternion algebras over certain extensions of quadratic number fields |
| 16:50 – 17:10 | Pavel Francírek | Annihilators of the ideal class group of an imaginary abelian field |
| 17:20 – 17:40 | Mikuláš Zindulka | Number of elements of small norm in the simplest cubic fields |
Tuesday, Section 3, Lecture Hall II
| Speaker | Title | |
| 14:00 – 14:20 | Szilárd Révész | On the connection of the error term in the Prime Number Theorem and the location of zeroes of the Beurling zeta function |
| 14:30 – 14:50 | Yangbo Ye | Bounds toward Hypothesis S for cusp forms |
| 15:00 – 15:20 | Maciej Radziejewski | Forbidden conductors of L-functions and continued fractions of particular form |
| 15:30 – 15:50 | Attila Kovács and Norbert Tihanyi | Tight upper and lower bounds for the reciprocal sum of generalized Proth primes |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Imre Z. Ruzsa | Sumsets with multiplicative structure |
| 16:50 – 17:10 | Jozsef Solymosi | Rank of matrices with entries from a multiplicative group |
| 17:20 – 17:40 | Máté Matolcsi | Difference sets avoiding cubic residues in cyclic groups |
Tuesday, Section 4, Lecture Hall III
| Speaker | Title | |
| 14:00 – 14:20 | Stefan Porubský | Uniform distribution of the weighted sum-of-digits functions |
| 14:30 – 14:50 | Ladislav Mišík | Maximal subsequences with prescribed sets of accumulation points |
| 15:00 – 15:20 | Norbert Hegyvári | Problems in Combinatorial Number Theory related to Computer Science |
| 15:30 – 15:50 | Domingo Gómez-Pérez | Revisiting the linear complexity of a random bit lattice |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Frederick Broucke | Malliavin's problems for Beurling generalized primes |
| 16:50 – 17:10 | Ágoston Papp | Uniform bounds for the number of powers in arithmetic progressions |
Thursday, Section 1, Lecture Hall XI
| Speaker | Title | |
| 14:00 – 14:20 | István Gaál | Monogenity and power integral bases |
| 14:30 – 14:50 | Lajos Hajdu | Indecomposability of sequences defined by narrow sets of primes |
| 15:00 – 15:20 | Attila Bérczes | Effective results for Diophantine equations over finitely generated domains |
| 15:30 – 15:50 | István Pink | Number of solutions to a special type of unit equations in two unknowns |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Gábor Nyul | Enumerative combinatorial numbers and polynomials in graph theory |
| 16:50 – 17:10 | Takafumi Miyazaki | Number of solutions to a special type of unit equations in two unknowns II |
| 17:20 – 17:40 | Nóra Varga | Diophantine equations for polynomials with restricted coefficients – power values |
Thursday, Section 2, Lecture Hall I
| Speaker | Title | |
| 14:00 – 14:20 | Shigeki Akiyama | Multiplicative Lagrange spectrum and symbolic dynamics |
| 14:30 – 14:50 | Dong Han Kim | Intrinsic Diophantine approximation of spheres and the complex plane |
| 15:00 – 15:20 | Filip Gawron | On the length of the period of the continued fraction of n√d |
| 15:30 – 15:50 | Renan Laureti | Parry numbers and Pisot numbers |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Piotr Miska | (R)-dense and (N)-dense subsets of positive integers and generalized quotient sets |
| 16:50 – 17:10 | Ferdinánd Filip | On the powers of asymptotic density |
Thursday, Section 3, Lecture Hall II
| Speaker | Title | |
| 14:00 – 14:20 | Csaba Sándor | Additive representation functions and discrete convolutions |
| 14:30 – 14:50 | Sándor Kiss | Dense sumsets of Sidon sets |
| 15:00 – 15:20 | László Mérai | Divisors of sums of polynomials |
| 15:30 – 15:50 | Mikhail R. Gabdullin | Sets whose differences avoid squares modulo m |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | László Tóth | Additive arithmetic functions meet the inclusion-exclusion principle: Asymptotic formulas concerning the GCD and LCM of several integers |
| 16:50 – 17:10 | Paul Péringuey | A generalization of Artin's primitive root conjecture among almost primes |
Thursday, Section 4, Lecture Hall III
| Speaker | Title | |
| 14:00 – 14:20 | Christian Elsholtz | Longer gaps between values of binary quadratic forms |
| 14:30 – 14:50 | Łukasz Pańkowski | Joint extreme values of L-functions |
| 15:00 – 15:20 | Gregory Debruyne | Optimality in Tauberian theorems |
| 15:30 – 15:50 | Laima Kaziulyte | Omega result for the remainder term in Beurling's prime number theorem for well-behaved integers |
| 15:50 – 16:20 | Coffee break | |
| 16:20 – 16:40 | Árpád Tóth | Matrix Kloosterman sums |
| 16:50 – 17:10 | Péter Maga | The sequence of prime gaps is graphic I. |
| 17:20 – 17:40 | Gergely Harcos | The sequence of prime gaps is graphic II. |