The existence and the non-existence of joint \(t\)-universality for Lerch zeta functions

DOI10.1016/j.jnt.2006.12.008zbMath1130.11050OpenAlexW2028708031MaRDI QIDQ996207

Takashi Nakamura

Publication date: 13 September 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.12.008

zbMATH Keywords

universalityLerch zeta-functionmultiple zeta-functions

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items (9)

JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS ⋮ О совместном распределении значений дзета-функций Гурвица ⋮ The joint universality theorem for a pair of Hurwitz zeta functions ⋮ The joint universality of Dirichlet \(L\)-functions and Lerch zeta-functions ⋮ Joint approximation of analytic functions by shifts of the Riemann and periodic Hurwitz zeta-functions ⋮ Hybrid universality theorem for L-functions without Euler product ⋮ Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function ⋮ On universality for linear combinations of \(L\)-functions ⋮ A general joint discrete universality theorem for Hurwitz zeta-functions

Cites Work

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• A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
• Applications of inversion formulas to the joint \(t\)-universality of Lerch zeta functions
• On the mean square of the Riemann zeta-function
• Joint value-distribution theorems on Lerch zeta-functions. II
• The joint universality and the functional independence for Lerch zeta-functions

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