On \(p\)-adic Hurwitz-type Euler zeta functions

DOI10.1016/j.jnt.2012.05.037zbMath1272.11130arXiv1010.2269OpenAlexW2045222498MaRDI QIDQ455807

Su Hu, Min-Soo Kim

Publication date: 22 October 2012

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

Full work available at URL: https://arxiv.org/abs/1010.2269

zbMATH Keywords

Euler number and polynomialp-adic Hurwitz-type Euler zeta functionp-adic integral

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items (26)

The \(p\)-adic analytic Dedekind sums ⋮ A research on the recursive value and general terms of the analogue Euler zeta function on positive integers ⋮ Unnamed Item ⋮ Differential equations associated with generalized Bell polynomials and their zeros ⋮ MULTIPLICATION FORMULA AND (w, q)-ALTERNATING POWER SUMS OF TWISTED q-EULER POLYNOMIALS OF THE SECOND KIND ⋮ A note on p-adic Raabe formulas ⋮ Polylogarithmic zeta functions and their p-adic analogues ⋮ New identities involving Bernoulli, Euler and Genocchi numbers ⋮ Unnamed Item ⋮ A numerical investigation on the structure of the zeros of Euler polynomials ⋮ Dynamics of the zeros of analytic continued \((h, q)\)-Euler polynomials ⋮ Some series involving the Euler zeta function ⋮ The \((S, \{2 \})\)-Iwasawa theory ⋮ Unnamed Item ⋮ Infinite order linear differential equation satisfied by \(p\)-adic Hurwitz-type Euler zeta functions ⋮ Differential equations arising from polynomials of derangements and structure of their zeros ⋮ The \(p\)-adic Arakawa-Kaneko-Hamahata zeta functions and poly-Euler polynomials ⋮ Special values and integral representations for the Hurwitz-type Euler zeta functions ⋮ Unnamed Item ⋮ On \(p\)-adic Diamond-Euler log gamma functions ⋮ Dirichlet series expansions of \(p\)-adic \(\mathrm{L}\)-functions ⋮ Dynamics of the zeros of analytic continued polynomials and differential equations associated with q-tangent polynomials ⋮ Analytic continuation of Euler polynomials and the Euler zeta function ⋮ Irregular primes with respect to Genocchi numbers and Artin's primitive root conjecture ⋮ Zeros of analytic continued \(q\)-Euler polynomials and \(q\)-Euler zeta function ⋮ The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(p\)-adic multiple zeta and log gamma functions
• On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
• Euler numbers and polynomials associated with zeta functions
• Some identities and congruences concerning Euler numbers and polynomials
• On Euler numbers, polynomials and related \(p\)-adic integrals
• Ten formulae of type Ankeny-Artin-Chowla for class numbers of general cyclic quartic fields
• Ein p-adisches Integral und seine Anwendungen. II
• On Miki's identity for Bernoulli numbers
• A note on generalized Bernoulli numbers.
• Raabe's formula for \(p\)-adic gamma and zeta functions
• Ein \(p\)-adisches Integral und seine Anwendungen. I
• On a \(p\)-adic analogue of Shintani's formula
• The class number of an imaginary quadratic field
• ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES
• Euler and the Zeta Function
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• Lectures on P-Adic L-Functions. (AM-74)
• Number Theory
• A simple derivation of \(\zeta(1-K)=-B_K/K\).

This page was built for publication: On \(p\)-adic Hurwitz-type Euler zeta functions