Limit points in the Lagrange spectrum of a quadratic field
Linear abgeschlossene Zahlenmengen. I.
Local return rates in Sturmian subshifts
L'octogone régulier et la signature des formes quadratiques entières non singulières
La formule généralisant la loi de réciprocité quadratique de Legendre et exprimant le reste par huit de la signature d'une forme quadratique entière non dégénérée à l'aide d'une somme de Gauss est attribuée par Milnor à Milgram, la faisant remonter à Braun. Le formalisme de Witt la réduit au cas de dimension 1 que Chandrasekharan attribue à Cauchy et Kronecker. Braun soulignait que les preuves de ces formules nécessitent des moyens d'analyse. Une propriété métrique de l'octogone...
Logarithmetics and quasigroup structure
Lois de réciprocité explicites
Lois nouvelles des puissances des nombres
Long gaps between deficient numbers
Lower bounds for the largest eigenvalue of the gcd matrix on
Consider the matrix with ’th entry . Its largest eigenvalue and sum of entries satisfy . Because cannot be expressed algebraically as a function of , we underestimate it in several ways. In examples, we compare the bounds so obtained with one another and with a bound from S. Hong, R. Loewy (2004). We also conjecture that for all . If is large enough, this follows from F. Balatoni (1969).
Lower bounds for the largest prime factor of an odd perfect number which is divisible by a Fermat prime.
Lower limit for the number of sets of solutions of xe + ye + ze ... 0 (mod p).
Lucas factoriangular numbers
We show that the only Lucas numbers which are factoriangular are and .
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 with cyclotomic root field [Book]
Lüroth-type alternating series representations for real numbers