Rational approximations to Tasoev continued fractions.
Rational approximations to the Rogers-Ramanujan continued fraction
Rational approximations to π and some other numbers
Rational arithmetical functions of order (2,1) with respect to regular convolutions.
Rational base number systems for p-adic numbers
This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system proposed by Akiyama et al. in 2008, but we also show that this system is in some sense isomorphic to some other rational base number systems by means of finite transducers. We identify the numbers with finite and eventually periodic representations and we also determine the number of representations of a given p-adic number.
Rational base number systems for p-adic numbers
This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system proposed by Akiyama et al. in 2008, but we also show that this system is in some sense isomorphic to some other rational base number systems by means of finite transducers. We identify the numbers with finite and eventually periodic representations and we also determine the number of representations of a given p-adic number.
Rational congruence for uniform multiplicative designs.
Rational elliptic curves are modular
Rational fixed points for linear group actions
We prove a version of the Hilbert Irreducibility Theorem for linear algebraic groups. Given a connected linear algebraic group , an affine variety and a finite map , all defined over a finitely generated field of characteristic zero, Theorem 1.6 provides the natural necessary and sufficient condition under which the set contains a Zariski dense sub-semigroup ; namely, there must exist an unramified covering and a map such that . In the case , is the additive group, we reobtain the...
Rational Functions with Partial Quotients of Small Degree in Their Continued Fraction Expansion.
Rational Homology of Bianchi Groups.
Rational identities and inequalities.
Rational identities and inequalities involving Fibonacci and Lucas numbers.
Rational Isogenies of Prime Degree.
Rational period functions and indefinite binary quadratics forms. I.
Rational periodic points for quadratic maps
Let be a number field. Let be a finite set of places of containing all the archimedean ones. Let be the ring of -integers of . In the present paper we consider endomorphisms of of degree , defined over , with good reduction outside . We prove that there exist only finitely many such endomorphisms, up to conjugation by , admitting a periodic point in of order . Also, all but finitely many classes with a periodic point in of order are parametrized by an irreducible curve.
Rational points and Dirichlet series. (Points rationnels et séries de Dirichlet.)
Rational points of a curve which has a nontrivial automorphism
Rational Points of Abelian Varieties with Values in Towers of Number Fields.
Rational points of bounded height on Fano varieties.