On linear forms in the logarithms of algebraic numbers
On linear forms of a certain class of G-functions and p-adic G-functions
On linear forms of G-functions
On linear normal lattices configurations
In this paper we extend Champernowne’s construction of normal numbers in base to the case and obtain an explicit construction of the generic point of the shift transformation of the set . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base .
On linear recurrence relations satisfied by Pisot sequences
On linear recurrence relations satisfied by Pisot sequences - Addenda and errata
On linear recursion and pseudorandomness
On Linear Sections of Lattice Packings.
On Linnik's approximation to Goldbach's problem, I
On Linnik's constant.
On Linnik's constant
On Linnik's theorem on Goldbach numbers in short intervals and related problems
Linnik proved, assuming the Riemann Hypothesis, that for any , the interval contains a number which is the sum of two primes, provided that is sufficiently large. This has subsequently been improved to the same assertion being valid for the smaller gap , the added new ingredient being Selberg’s estimate for the mean-square of primes in short intervals. Here we give another proof of this sharper result which avoids the use of Selberg’s estimate and is therefore more in the spirit of Linnik’s...
On Li’s Coefficients for Some Classes of L-Functions
AMS Subj. Classification: 11M41, 11M26, 11S40We study the generalized Li coefficients associated with the class S♯♭ of functions containing the Selberg class and (unconditionally) the class of all automorphic L-functions attached to irreducible unitary cuspidal representations of GLN(Q) and the class of L-functions attached to the Rankin-Selberg convolution of two unitary cuspidal automorphic representations π and π′ of GLm(AF ) and GLm′ (AF ). We deduce a full asymptotic expansion of the Archimedean...
On local Whittaker models for the Jacobi group of degree one.
On low-complexity bi-infinite words and their factors
In this paper we study bi-infinite words on two letters. We say that such a word has stiffness if the number of different subwords of length equals for all sufficiently large. The word is called -balanced if the numbers of occurrences of the symbol a in any two subwords of the same length differ by at most . In the present paper we give a complete description of the class of bi-infinite words of stiffness and show that the number of subwords of length from this class has growth order...
On Lower Bounds for Polynomials in the Values of E-Functions.
On lower bounds of the density of Delone sets and holes in sequences of sphere packings.
On Lucas and Lehmer sequences and their applications to Diophantine equations
On Lucas pseudoprimes of the form in arithmetic progression with a prescribed value of the Jacobi symbol
On m times covering systems of congruences