Fundamental solutions of pseudo-differential operators over -adic fields
Fundamental units for orders in certain cubic number fields.
Fundamental units for orders of unit rank 1 and generated by a unit
Let ε be an algebraic unit for which the rank of the group of units of the order ℤ[ε] is equal to 1. Assume that ε is not a complex root of unity. It is natural to wonder whether ε is a fundamental unit of this order. It turns out that the answer is in general yes, and that a fundamental unit of this order can be explicitly given (as an explicit polynomial in ε) in the rare cases when the answer is no. This paper is a self-contained exposition of the solution to this problem, solution which was...
Fundamental units from the perperiod of a generalized Jacobi-Perron algorithm.
Fundamental units in a family of cubic fields
Let be the maximal order of the cubic field generated by a zero of for , . We prove that is a fundamental pair of units for , if
Fundamental units in a parametric family of not totally real quintic number fields
In this article we compute fundamental units for a family of number fields generated by a parametric polynomial of degree 5 with signature and Galois group .
Funktionen mit formalen Eulerprodukt.
Funktionen über lokal endlichen Halbordnungen II.
Funktionenkörper mit großer Automorphismengruppe.
Funktionenkörper mit isomorphen absoluten Galoisgruppen.
Funzione generatrice e polinomi incompleti di Fibonacci e Lucas
I numeri incompleti di Fibonacci e di Lucas, introdotti da Filipponi (1996), sono entrambi generalizzati in forma di polinomi. Le loro funzioni generatrici ridondanti, naturali e condizionate sono stabilite attraverso serie formali di potenze. Le funzioni generatrici relative alle sequenze di numeri dovute a Pinter e Srivastava (1999) sono contenute come casi particolari.
Funzioni L: teoremi tipo Siegel e teoremi di struttura
Further applications of Turán's methods to the distribution of prime ideals in ideal classes mod f
Further developments in the comparative prime number theory, VII
Further evaluations of Weil sums
Further generalizations of the Fibonacci-coefficient polynomials.
Further improvements in Waring's problem, IV: Higher powers
Further remarks on Diophantine quintuples
A set of m positive integers with the property that the product of any two of them is the predecessor of a perfect square is called a Diophantine m-tuple. Much work has been done attempting to prove that there exist no Diophantine quintuples. In this paper we give stringent conditions that should be met by a putative Diophantine quintuple. Among others, we show that any Diophantine quintuple a,b,c,d,e with a < b < c < d < ed < 1.55·1072b < 6.21·1035c = a + b + 2√(ab+1) and ...
Further results on a generalization of Bertrand's postulate.
Further results on derived sequences.