On the Mean Square Value of Dirichlet L -Series

DOI10.1112/jlms/s2-21.2.203zbMath0422.10032OpenAlexW2105646782MaRDI QIDQ3855269

Vivek V. Rane

Publication date: 1980

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-21.2.203

zbMATH Keywords

Hurwitz zeta-functionasymptotic formulamean square value

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (13)

Moments of the Hurwitz zeta function on the critical line ⋮ Three primes theorem in a short interval (V) ⋮ On the mean square of dirichletL-functions ⋮ Three primes theorem in a short interval (VII) ⋮ On some sums involving the counting function of nonisomorphic abelian groups ⋮ Fourier expansion of light‐cone Eisenstein series ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ On the mean square value of Hurwitz zeta function ⋮ Second moment of the Beurling zeta-function ⋮ On the value distribution of Hurwitz zeta-functions at the nontrivial zeros of the Riemann zeta-function ⋮ Zeta zeros, Hurwitz zeta functions and L(1,\(\chi\) ) ⋮ A new approximate functional equation for Hurwitz zeta function for rational parameter ⋮ On the distribution of √ p modulo one

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