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Functional distribution for a collection of Lerch zeta functions
Let \(L(\lambda ,\alpha ,s)=\sum _{n=0}^{\infty }\frac{e^{2\pi {\kern 1pt} i\lambda n{\kern 1pt} } }{(n+\alpha )^{s} } \) be the Lerch zeta function. Motivated by some results of \textit{A. Laurinčikas} [Lith. Math. J. 37, No. 3, 275--280 (1997); translation from Liet. Mat. Rink. 37, No.
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``Almost'' universality of the Lerch zeta-function
Summary: The Lerch zeta-function \(L(\lambda,\alpha,s)\) with transcendental parameter \(\alpha\), or with rational parameters \(\alpha\) and \(\lambda\) is universal, i.e., a wide class of analytic functions is approximated by shifts \(L(\lambda,\alpha,s+i\tau)\), \(\tau \in \mathbb{R}\). The case of algebraic irrational \(\alpha\) is an open problem.
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Probing the Influence of Paternal Diet on Offspring Neuroanatomy With Mouse MRI. [PDF]
McKnight EGW +7 more
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Malnutrition in gastrointestinal cancer manifests before systemic therapy and is associated with fatigue and reduced physical quality of life. [PDF]
Wiese ML +8 more
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Surgical Management Results in Lasting Pain Relief in Patients with Ischiofemoral Impingement Refractory to Nonoperative Treatment: A Systematic Review. [PDF]
Mohorea MA +5 more
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H. Al-Janaby, F. Ghanim, P. Agarwal
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