L-Reihen imaginär-quadratischen Zahlkörpern und ihre Anwendung auf Klassenzahlprobleme bei quadratischen und biquadratischen Zahlkörpern. II.
L-Reihen in imaginär-quadratischen Zahlkörpern und ihre Anwendung auf Klassenzahlprobleme bei quadratischen und biquadratischen Zahlkörpern. I.
L-series and their 2-adic valuations at s = 1 attached to CM elliptic curves
L-Series, Modular Imbeddings, and Signatures.
L-Series of Rankin Type and Their Functional Equations.
Lubin-Tate formal groups and module structure over Hopf orders
Over the last years Hopf orders have played an important role in the study of integral module structures arising in arithmetic geometry in various situations. We axiomatize these situations and discuss the properties of the (integral) Hopf algebra structures which are of interest in this general setting. In particular, we emphasize the role of resolvents for explicit computations. As an illustration we apply our results to determine the Hopf module structure of the ring of integers in relative Lubin-Tate...
Lucas balancing numbers
A positive is called a balancing number if We prove that there is no balancing number which is a term of the Lucas sequence.
Lucas Diophantine triples.
Lucas factoriangular numbers
We show that the only Lucas numbers which are factoriangular are and .
Lucas numbers of the form , where is prime.
Lucas partitions.
Lucas sequences and repdigits
Let be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are and , respectively. We show that the Diophantine equation has only finitely many solutions in , where , is even and . Furthermore, these solutions can be effectively determined by reducing such equation to biquadratic elliptic curves. Then, by a result of Baker (and its best improvement due to Hajdu and Herendi) related to the bounds of the integral points on...
Lucas sequences whose nth term is a square or an almost square
Lucas sequences with cyclotomic root field [Book]
Lucas' square pyramid problem revisited
Lürothsche Reihen und singuläre Maße.
Lüroth-type alternating series representations for real numbers
L-values and the Fitting ideal of the tame kernel for relative quadratic extensions
L-values at zero and multiplicative Galois module structure (also Galois Gauss sums and additive Galois module structure).
Lyndon factorization of the Thue-Morse word and its relatives.