This book is designed to provide a path for the reader into an amalgamation oftwo venerable
areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating …

This book uses the beautiful theory of elliptic curves to introduce the reader to some of the
deeper aspects of number theory. It assumes only a knowledge of the basic algebra …

We introduce a general strategy for proving quantitative and uniform bounds on the number
of common points of height zero for a pair of inequivalent height functions on P^1(Q). We …

Let f∈ ℤ [x], and consider the recurrence given by an= f (an− 1), with a0∈ ℤ. Denote by P (f,
a0) the set of prime divisors of this recurrence, that is, the set of primes dividing at least one …

arXiv:2105.15085v2 [math.NT] 24 Jul 2021 Page 1 arXiv:2105.15085v2 [math.NT] 24 Jul 2021
THE UNIFORM MORDELL–LANG CONJECTURE ZIYANG GAO, TANGLI GE AND LARS …

Bruin and Najman [LMS J. Comput. Math. 18 (2015), no. 1, 578–602] and Ozman and Siksek
[Math. Comp. 88 (2019), no. 319, 2461–2484] have recently determined the quadratic points …

A dominant rational self-map on a projective variety is called $ p $-cohomologically
hyperbolic if the $ p $-th dynamical degree is strictly larger than other dynamical degrees …

COMPLEX MULTIPLICATION OF ABELIAN SURFACES Proefschrift ter verkrijging van de graad
van Doctor aan de Universiteit Leiden, op g Page 1 COMPLEX MULTIPLICATION OF ABELIAN …

An endomorphism f: P k→ Pk of degree d≥ 2 is said to be postcritically finite (or PCF) if its
critical set Crit (f) is preperiodic, ie if there are integers m> n≥ 0 such that fm (Crit (f))⊆ fn …

Let μ be a positive Borel measure on the unit disc D. In this note, we show that the inclusion
mapping from analytic Morrey spaces L 2, λ (D) to quadratic tent-type spaces T λ∞(μ) is …