Lahcen Lamgouni

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20182024

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math.NT2024

Functional equation for LC-functions with even or odd modulator

Lahcen Lamgouni

In a recent work, we introduced \textit{LC-functions} $L (s, f)$ , associated to a certain real-analytic function $f$ at $0$ , extending the concept of the Hurwitz zeta function and it…

math.NT2022

C-polynomials and LC-functions: towards a generalization of the Hurwitz zeta function

Lahcen Lamgouni

Let $f (t) = \sum_{n = 0}^{+ \infty} \frac{C _{f, n}}{n !} t^{n}$ be an analytic function at $0$ , and let $C_{f, n} (x) = \sum_{k = 0}^{n} (k n) C_{f, k} x^{n - k}$ be the sequence of Appell polyn…