Negatively reduced ideals in orders of real quadratic fields: even discriminants
Neither nor is a perfect square.
Několik poznámek k problému W. Mnicha
Některé historické aspekty Fermatova problému
Neuer Beweis eines Satzes von Gerono.
New applications of Diophantine approximations to Diophantine equations.
New solutions to xyz = x+y+z = 1 in integers of quartic fields
New theorems concerning the diophantine equation
New upper bounds for taxicab and cabtaxi numbers.
Nil-clean and unit-regular elements in certain subrings of
An element in a ring is clean (or, unit-regular) if it is the sum (or, the product) of an idempotent and a unit, and is nil-clean if it is the sum of an idempotent and a nilpotent. Firstly, we show that Jacobson’s lemma does not hold for nil-clean elements in a ring, answering a question posed by Koşan, Wang and Zhou (2016). Secondly, we present new counter-examples to Diesl’s question whether a nil-clean element is clean in a ring. Lastly, we give new examples of unit-regular elements that are...
Nombres congruents et courbes elliptiques
Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture
Nonexistence of a geometric progression that contains four triangular numbers.
Nonextendibility of -triples of the form .
Non-monogenity of multiquadratic number fields
Non-possibility to prove infinity of regular primes form some theorems.
Non-trivial solutions to a linear equation in integers
Norm form équations.
Norm form equations and continued fractions.
Normal bivariate Birkhoff interpolation schemes and Pell equation
Finding the normal Birkhoff interpolation schemes where the interpolation space and the set of derivatives both have a given regular “shape” often amounts to number-theoretic equations. In this paper we discuss the relevance of the Pell equation to the normality of bivariate schemes for different types of “shapes”. In particular, when looking at triangular shapes, we will see that the conjecture in Lorentz R.A., Multivariate Birkhoff Interpolation, Lecture Notes in Mathematics, 1516, Springer, Berlin-Heidelberg,...