The least prime primitive root and the shifted sieve
The least prime which does not split completely.
The least primitive root in number fields
The least square-free number in an arithmetic progression.
The Lefschetz number of an involution on the space of classes of positive definite quadratic forms.
The Lefschetz Number of an Involution on the Space of Harmonic Cusp Forms of SL3.
The Lehmer constants of an annulus
Let be the Mahler measure of an algebraic number , and be an open subset of . Then its Lehmer constant is inf , the infimum being over all non-zero non-cyclotomic lying with its conjugates outside . We evaluate when is any annulus centered at . We do the same for a variant of , which we call the transfinite Lehmer constant .Also, we prove the converse to Langevin’s Theorem, which states that if contains a point of modulus . We prove the corresponding result for .
The Lehmer strength bounds for total ramification
The Lehmus inequality.
The Length of Periodic Continued Fractions.
The level 1 weight 2 case of Serre's conjecture.
The level of distribution of the special values of L-functions
The level of real projective spaces.
The L-function L3(s, ...) is entire.
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems
The so-called Lifted Root Number Conjecture is a strengthening of Chinburg’s - conjecture for Galois extensions of number fields. It is certainly more difficult than the -localization. Following the lead of Ritter and Weiss, we prove the Lifted Root Number Conjecture for the case that and the degree of is an odd prime, with another small restriction on ramification. The very explicit calculations with cyclotomic units use trees and some classical combinatorics for bookkeeping. An important...
The Lifted Root Number Conjecture for some cyclic extensions of ℚ
The Limit Shape of Convex Lattice Polygons.
The linear sieve, revisited
The Linnik conjecture. A local approach.
The Ljunggren equation revisited
We study the Ljunggren equation Y² + 1 = 2X⁴ using the "multiplication by 2" method of Chabauty.