Elementary methods in the theory of L-functions, II. On the greatest real zero of a real L-function
Let be a fixed algebraic variety defined by polynomials in variables with integer coefficients. We show that there exists a constant such that for almost all primes for all but at most points on the reduction of modulo at least one of the components has a large multiplicative order. This generalises several previous results and is a step towards a conjecture of B. Poonen.