On the least common multiple of -binomial coefficients.
On the least integers represented by the genera of binary quadratic forms
On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
On the least prime in an arithmetic progression. I: The basic theorem
On the least prime in an arithmetic progression. II: The Deuring- Heilbronn theorem
On the least quadratic non-residue of a prime p ... 3 (mod 4).
On the Lebesgue-Nagell equation
We completely solve the Diophantine equations (for q = 17, 29, 41). We also determine all and , where are fixed primes satisfying certain conditions. The corresponding Diophantine equations x² + C = yⁿ may be studied by the method used by Abu Muriefah et al. (2008) and Luca and Togbé (2009).
On the Lehmer constant of finite cyclic groups
On the length of continued fractions representing a rational number with given denominator
On the length of the continued fraction for values of quotients of power sums
Generalizing a result of Pourchet, we show that, if are power sums over satisfying suitable necessary assumptions, the length of the continued fraction for tends to infinity as . This will be derived from a uniform Thue-type inequality for the rational approximations to the rational numbers , .
On the length of the period of ...d.
On the Lengths of the Periods of the Continued Fractions of Square-Roots of Integers.
On the Lenstra constant associated to the Rosen continued fractions
On the level of projective spaces.
On the L-function of quadratic forms.
On the limit distribution of Frobenius numbers
On the limit distribution of the well-distribution measure of random binary sequences
We prove the existence of a limit distribution of the normalized well-distribution measure (as ) for random binary sequences , by this means solving a problem posed by Alon, Kohayakawa, Mauduit, Moreira and Rödl.
On the limit points of the fractional parts of powers of Pisot numbers
We consider the sequence of fractional parts , , where is a Pisot number and is a positive number. We find the set of limit points of this sequence and describe all cases when it has a unique limit point. The case, where and the unique limit point is zero, was earlier described by the author and Luca, independently.
On the limiting distribution of a generalized divisor problem for the case -1/2 < a < 0
On the limiting distribution of a generalized divisor problem for the case -1 ≤ a < -1/2