Results 31 to 40 of about 3,155 (247)
Extremal p-Adic L-Functions [PDF]
Mathematics, 2021 In this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is amenable to generalizations to automorphic forms on arbitrary groups.
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Inequalities for analytic functions associated with hyperbolic cosine function
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we investigate the geometric properties of a specific subclass of analytic functions satisfying the condition f' (z) ≺ cosh(√ z) meaning that the function f '(z) is subordinate to the function cosh(√ z).
T. Azero˘glu, B.N. Örnek, T. Düzenli
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Joint extreme values of L-functions
Mathematische Zeitschrift, 2022 We consider $L$-functions $L_1,\ldots,L_k$ from the Selberg class which have polynomial Euler product and satisfy Selberg's orthonormality condition. We show that on every vertical line $s= +it$ with $ \in(1/2,1)$, these $L$-functions simultaneously take large values of size $\exp\left(c\frac{(\log t)^{1- }}{\log\log t}\right)$ inside a small ...
Mahatab, Kamalakshya +2 more
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Пересечение множества экстремальных функций для двух функционалов [PDF]
Проблемы анализа, 2010 В работе исследована экстремальная задача для линейного функционала в классе U'α. В частности, получен вид экстремальной функции.Research extremal problem for linear functional in U'α is studied. In particular, a form of extremal function is got.
Ефремова И. С.
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Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality
Journal of High Energy Physics, 2019 Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models into two classes,
D. Astefanesei +3 more
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The statistical mechanics of near-extremal black holes
Journal of High Energy Physics, 2021 An important open question in black hole thermodynamics is about the existence of a “mass gap” between an extremal black hole and the lightest near-extremal state within a sector of fixed charge.
Luca V. Iliesiu, Gustavo J. Turiaci
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Chemotherapy‐induced peripheral neuropathy remains a major complication in pediatric cancer, with disrupted somatosensory and nociceptive processing being a key aspect. This review synthesizes empirical studies on alterations in somatosensory and nociceptive processing in children and adolescents with cancer.
Julia Schweiger +4 more
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Extremal functions for Bloch constants [PDF]
Kodai Mathematical Journal, 1988 The author establishes an intriguing inequality for a function f that is holomorphic in the open unit disk \({\mathbb{D}}\) and extremal for any one of the following: the Bloch, Landau, locally schlicht Bloch or univalent Bloch constant. If f is such an extremal function, then \[ | \lim_{\epsilon \to 0}\frac{1}{\pi}\int_{\epsilon
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele +19 more
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Extremal Functions with Vanishing Condition [PDF]
Constructive Approximation, 2015 We determine the optimal majorant $M^+$ and minorant $M^-$ of exponential type for the truncation of $x\mapsto (x^2+a^2)^{-1}$ with respect to general de Branges measures. We prove that \[ \int_\mathbb{R} (M^+ - M^-) |E(x)|^{-2}dx = \frac{1}{a^2 K(0,0)} \] where $K$ is the reproducing kernel for $\mathcal{H}(E)$.
Littmann, Friedrich, Spanier, Mark
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