Value Distribution of L-Functions with Rational Moving Targets

Value Distribution of L-Functions with Rational Moving Targets

We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.

A Result on Value Distribution of L-functions

We will establish a theorem on value distribution of L-functions in the Selberg class, which shows how an L-function and a meromorphic function are uniquely determined by their c-values and which, as a consequence, proves a result on the unicity of the Riemann zeta function. L-functions, with the Riemann zeta function as a prototype, are important objects in number theory, and value distributio...

Distribution of Rational Points: A Survey

Triangular approximations of fuzzy number with value and ambiguity functions

Dirichlet L-functions, Elliptic Curves, Hypergeometric Functions, and Rational Approximation with Partial Sums of Power Series

We consider the Diophantine approximation of exponential generating functions at rational arguments by their partial sums and by convergents of their (simple) continued fractions. We establish quantitative results showing that these two sets of approximations coincide very seldom. Moreover, we offer many conjectures about the frequency of their coalescence. In particular, we consider exponentia...