Near solutions of polynomial equations
Neubegründung der Klassenkörpertheorie.
Neuer Beweis des Vorhandenseins complexer Wurzeln in einer algebraischen Gleichung. Von Hermann Kinkelin in Basel
Neuer Beweis für die Unauflösbarkeit der Gleichungen von höherem als dem vierten Grade.
New inequalities on polynomial divisors.
New methods providing high degree polynomials with small Mahler measure.
Newforms, inner twists, and the inverse Galois problem for projective linear groups
We reformulate more explicitly the results of Momose, Ribet and Papier concerning the images of the Galois representations attached to newforms without complex multiplication, restricted to the case of weight and trivial nebentypus. We compute two examples of these newforms, with a single inner twist, and we prove that for every inert prime greater than the image is as large as possible. As a consequence, we prove that the groups for every prime , and for every prime , are Galois groups...
Newton-Puiseux expansion and generalized Tschirnhausen transformation. I.
Nice local global fields. IV.
Nicely semiramified division algebras over Henselian fields.
Nichtkommutative Geometrie und verallgemeinerte Hughes-Ebenen.
Nilpotent second order linear differential equations with fuchsian singularities
Niven’s Theorem
This article formalizes the proof of Niven’s theorem [12] which states that if x/π and sin(x) are both rational, then the sine takes values 0, ±1/2, and ±1. The main part of the formalization follows the informal proof presented at Pr∞fWiki (https://proofwiki.org/wiki/Niven’s_Theorem#Source_of_Name). For this proof, we have also formalized the rational and integral root theorems setting constraints on solutions of polynomial equations with integer coefficients [8, 9].
Noch eine Begründung der Theorie der höheren Differentialquotienten in einem algebraischen Funktionenkörper einer Unbestimmten. (Nach einer brieflichen Mitteilung von F.K. Schmidt in Jena).
Noether forms for the study of non-composite rational functions and their spectrum
Noether's problem for some groups of order 16n
Noether's problem over an algebraically closed field.
Non standard arithmetic and application to height functions
Non-Archimedean adjoints
Non-archimedean monotone functions