Sets with even partition functions and 2-adic integers. II.
S-ganze Punkte auf elliptischen Kurven.
Sharp bounds for the number of solutions to simultaneous Pellian equations
Siegel’s theorem and the Shafarevich conjecture
It is known that in the case of hyperelliptic curves the Shafarevich conjecture can be made effective, i.e., for any number field and any finite set of places of , one can effectively compute the set of isomorphism classes of hyperelliptic curves over with good reduction outside . We show here that an extension of this result to an effective Shafarevich conjecture for Jacobians of hyperelliptic curves of genus would imply an effective version of Siegel’s theorem for integral points on...
Simple groups of square order and interesting sequence of primes
Simultaneous diagonal equations over 𝔭-adic fields
Simultaneous diagonal inequalities of odd degree.
Simultaneous p-adic Zeros of Quadratic Forms.
Simultaneous Pell equations
Simultaneous Pellian equations with a single or no solution
Simultaneous quadratic equations II
Simultaneous quadratic inequalities
Singular differences of powers of -matrices
Six entiers dont les sommes deux à deux sont des carrés
Small Prime Solutions of some Additive Equations.
Small solutions of cubic equations with prime variables in arithmetic progressions
Small solutions of quadratic congruences and small fractional parts of quadratic forms
Smooth solutions to the equation: the Conjecture
This paper studies integer solutions to the equation in which none of have a large prime factor. We set , and consider primitive solutions () having no prime factor larger than , for a given finite . We show that the Conjecture implies that for any fixed the equation has only finitely many primitive solutions. We also discuss a conditional result, showing that the Generalized Riemann hypothesis (GRH) implies that for any fixed the equation has infinitely many primitive solutions....
Solution complète en nombres entiers de l’équation
Solution de l’équation