Zobrazeno 1 - 10
of 5 296
pro vyhledávání: '"Debruyne, P"'
Autor:
Debruyne, Gregory
We provide a general quantified Ingham-Karamata Tauberian theorem with a flexible one-sided Tauberian condition under several types of boundary behavior for the Laplace transform. Our results in particular improve a theorem by Stahn, removing a vexin
Externí odkaz:
http://arxiv.org/abs/2411.03809
Autor:
Debruyne, Gregory
In this expository article we provide an elegant proof of the one-sided Ingham-Karamata Tauberian theorem. As an application, we present a short deduction of the prime number theorem.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2403.17655
Akademický článek
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We study the range of validity of the density hypothesis for the zeros of $L$-functions associated with cusp Hecke eigenforms $f$ of even integral weight and prove that $N_{f}(\sigma, T) \ll T^{2(1-\sigma)+\varepsilon}$ holds for $\sigma \geq 1407/16
Externí odkaz:
http://arxiv.org/abs/2310.14797
We investigate the existence of well-behaved Beurling number systems, which are systems of Beurling generalized primes and integers which admit a power saving in the error term of both their prime and integer-counting function. Concretely, we search
Externí odkaz:
http://arxiv.org/abs/2309.01567
Autor:
Hao A. Duong, Kenkichi Baba, Jason P. DeBruyne, Alec J. Davidson, Christopher Ehlen, Michael Powell, Gianluca Tosini
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-13 (2024)
Abstract Circadian gene expression is fundamental to the establishment and functions of the circadian clock, a cell-autonomous and evolutionary-conserved timing system. Yet, how it is affected by environmental-circadian disruption (ECD) such as shift
Externí odkaz:
https://doaj.org/article/411877eea5cd4b39a0cc9ac097d58b2b
Autor:
Broucke, Frederik, Debruyne, Gregory
Publikováno v:
Acta Arith. 207 (2023), 365-391
We study the distribution of zeros of zeta functions associated to Beurling generalized prime number systems whose integers are distributed as $N(x) = Ax + O(x^{\theta})$. We obtain in particular \[ N(\alpha, T) \ll T^{\frac{c(1-\alpha)}{1-\theta}}\l
Externí odkaz:
http://arxiv.org/abs/2211.08716
Autor:
Melissa G. A. Remeeus, Sharon L. Clarke, Dine J. Feenstra, Hester Van Eeren, Maaike L. Smits, Sara Debruyne, Mirjam E. J. Kouijzer, Patrick Luyten, Ron H. J. Scholte, Joost Hutsebaut
Publikováno v:
Trials, Vol 25, Iss 1, Pp 1-16 (2024)
Abstract Background Although clinical guidelines prioritize the treatment of depression and anxiety in young persons, there is accumulating evidence that the presence of symptoms of borderline personality disorder (BPD) is associated with the limited
Externí odkaz:
https://doaj.org/article/d79b0e0070f84b52b55e23a1e998b14c
Akademický článek
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Autor:
Yana Beulque, Lisa Kinget, Eduard Roussel, Sajedeh Mobaraki, Annouschka Laenen, Philip R. Debruyne, Yannick Van Herck, Marcella Baldewijns, Agnieszka Wozniak, Abhishek D. Garg, Jessica Zucman-Rossi, Gabrielle Couchy, Maarten Albersen, Liesbeth De Wever, Lorenz Haaker, Benoit Beuselinck
Publikováno v:
Acta Oncologica, Vol 63, Iss 1 (2024)
Background and purpose: This study aims to evaluate neutrophil-to-eosinophil ratio (NER) as a prognostic and/or predictive biomarker in metastatic clear cell renal cell carcinoma (m-ccRCC) treated with nivolumab or ipilimumab/nivolumab. Patients/mat
Externí odkaz:
https://doaj.org/article/abbe9ce3cee1430289a9bbcf22379019