New upper bounds for taxicab and cabtaxi numbers.
New versions of the Nyman-Beurling criterion for the Riemann hypothesis.
New volume ratio properties for convex sym-metric bodies in IRn.
Newforms and Functional Equations.
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...
Newforms of half-integral weight.
Newton and Schinzel sequences in quadratic fields
We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most finitely many cases, all real. We give the maximal length of these sequences in the special cases. We have similar results in the case of a quadratic extension of a function field , taking in account that the ring of integers...
Newton, Fermat, and exactly realizable sequences.
Newton polyhedra and the degree of the L-function associated to an exponential sum.
Newton's formula and the continued fraction expansion of .
Nichteuklidische Gitterpunktprobleme und Gleichverteilung in linearen algebraischen Gruppen.
Nicht-Standardmodelle der Zahlentheorie.
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...
Nilpotent local class field theory
Nilpotents in semigroups of partial one-to-one order-preserving mappings.
Nineteen quaternary quadratic forms
No -torsion on elliptic curves over cubic number fields
We complete our previous determination of the torsion primes of elliptic curves over cubic number fields, by showing that is not one of those.
Noch eine Begründung der Theorie der höheren Differentialquotienten in einem algebraischen Funktionenkörper einer Unbestimmten. (Nach einer brieflichen Mitteilung von F.K. Schmidt in Jena).
Noch einmal die Stirlingschen Zahlen.
Noether forms for the study of non-composite rational functions and their spectrum