A larger sieve
A lattice point problem associated with two polynomials
A lemma of Stark.
A Lemma on Highly Ramified ...-Factors.
A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter.
A limit theorem for the Riemann zeta-function in the complex space
A limit theorem for the Riemann zeta-function near the critical line in the complex space
A Linear Algorithm for Construction of Optimal Digital Convex 2k-gons
A local criterion for the covering of space by convex bodies
A local large sieve inequality for cusp forms
We prove a large sieve type inequality for Maass forms and holomorphic cusp forms with level greater or equal to one and of integral or half-integral weight in short interval.
A local limit theorem with speed of convergence for euclidean algorithms and diophantine costs
For large N, we consider the ordinary continued fraction of x=p/q with 1≤p≤q≤N, or, equivalently, Euclid’s gcd algorithm for two integers 1≤p≤q≤N, putting the uniform distribution on the set of p and qs. We study the distribution of the total cost of execution of the algorithm for an additive cost function c on the set ℤ+* of possible digits, asymptotically for N→∞. If c is nonlattice and satisfies mild growth conditions, the local limit theorem was proved previously by the second named author....
A local trace formula
A local Turán-Kubilius inequality
A local-global criterion for dynamics on ℙ¹
A Local-Global Principle for Quadric Forms.
A local-global principle for rational isogenies of prime degree
Let be a number field. We consider a local-global principle for elliptic curves that admit (or do not admit) a rational isogeny of prime degree . For suitable (including ), we prove that this principle holds for all , and for , but find a counterexample when for an elliptic curve with -invariant . For we show that, up to isomorphism, this is the only counterexample.
A localization theorem in the theory of diophantine approximation and an application to Pell's equation
A localized uniformly Jarník set in continued fractions
A logical alternative to the existing positional number system.
A lower bound for linear forms in logarithms