Wide moments of <i>L</i>-functions II: dirichlet <i>L</i>-functions
نویسندگان
چکیده
Abstract We study wide moments of Dirichlet L-functions using analytic properties the Lerch zeta function. Among other things we obtain an asymptotic expansion (with arbitrary twists) extending results Heath-Brown. also give applications to non-vanishing.
منابع مشابه
Multiple Dirichlet Series and Moments of Zeta and L–functions
This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown how straightforward conjectures about the meromorphic continuation and polar divisors of certain such series imply, as a consequence, precise asymptotics (previously conjectured via random matrix theory) for moments o...
متن کاملMoments of Dirichlet Splines and Their Applications to Hypergeometric Functions
Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented. Applications to hypergeometric functions of several variables are discussed. Introduction. In [9], H.B. Curry and I.J. Schoenberg have pointed out that univa...
متن کاملEffectiveness of Influenza Vaccination in Ili Prevention
The aims of the study were to determine the attack rate of influenza-like illness among inhabitants of five old folk homes nationwide using influenza vaccine as a probe and the effectiveness of influenza vaccination in prevention of influenza-like illness. We conducted a nonrandomized, single-blind placebo control study from June 2003 to February 2004. VAXIGRIPR 2003 Southern hemisphere formula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly Journal of Mathematics
سال: 2022
ISSN: ['0033-5606', '1464-3847']
DOI: https://doi.org/10.1093/qmath/haac026