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In this note, we correct an oversight from the paper mentioned in the title.

数论 · 数学 2011-12-15 José María Grau , Florian Luca

In this article, we deal with fractional stochastic differential equations, so-called Caputo type fractional backward stochastic differential equations (Caputo fBSDEs, for short), and study the well-posedness of an adapted solution to…

概率论 · 数学 2022-10-05 Nazim I. Mahmudov , Arzu Ahmadova

We reply to Creutz's comments on our paper " 't Hooft vertices, partial quenching, and rooted staggered QCD." We show that his criticisms are incorrect and result from a misunderstanding both of our work, and of the related work of Adams.

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen R. Sharpe

It was already known that a p-adic, locally Lipschitz continuous semi-algebraic function is piecewise Lipschitz continuous, where the pieces can be taken semi-algebraic. We prove that if the function has locally Lipschitz constant 1, then…

逻辑 · 数学 2010-10-01 Raf Cluckers , Immanuel Halupczok

This paper is a companion paper to [G4], where sharp estimates are proven for Fourier transforms of compactly supported functions built out of two-dimensional real-analytic functions. The theorems of [G4] are stated in a rather general…

经典分析与常微分方程 · 数学 2016-05-27 Michael Greenblatt

These are seven corrigenda to equations in the Lehmer article in American Mathematical Monthly 92 (1985), pp 449--457, partially reproduced in the Apelblat tables of integrals and series.

经典分析与常微分方程 · 数学 2009-05-05 Richard J. Mathar

This note presents an interesting counterexample to a basic covering problem.

度量几何 · 数学 2014-02-21 Fei Xue , Chuanming Zong

In [14] we found the large genus asymptotics of Hurwitz numbers for the Riemann sphere with a fixed number of general profiles and some (2,1^{d-2}) profiles. In this paper, motivated from [3], we generalize these results to Hurwitz numbers…

组合数学 · 数学 2026-03-13 Xiang Li

This paper develops a rich theory of cardinality in the paraconsistent and paracomplete set theory $\mathrm{BZFC}$, where sets can be inconsistent ($A$ such that ``$x\in A$'' is both true and false for some $x$) or incomplete ($A$ such that…

逻辑 · 数学 2026-04-09 Hrafn Valtýr Oddsson

We obtain a small improvement of Gallagher's larger sieve and we extend it to higher dimensions. We also obtain two interesting upper bounds for the number of solutions to polynomial congruences.

数论 · 数学 2018-12-27 Patrick Letendre

In this note, we present an improvement on the large orbit result of Halasi and Podoski, and then answer an open question raised by Chen, Cossey, Lewis, and Tong-Viet.

群论 · 数学 2020-02-11 Jin Ping , Yong Yang

Ap\'ery's remarkable discovery of rapidly converging continued fractions with small coefficients for $\zeta(2)$ and $\zeta(3)$ has led to a flurry of important activity in an incredible variety of different directions. Our purpose is to…

数论 · 数学 2025-11-04 Henri Cohen , Wadim Zudilin

Part A: A revised version of the guide in "Cardinal Arithmetic" ([Sh:g]), with corrections and expanded to include later works. Part B: Corrections to [Sh:g]. Part C: Contains some revised proof and improved theorems. Part D: Contains a…

逻辑 · 数学 2022-10-25 Saharon Shelah

This note fills a gap in the article with title above [1]. We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.

高能物理 - 理论 · 物理学 2017-12-21 Joseph Ben Geloun , Vincent Rivasseau

This is a revised version of Sh:430, section 6.

逻辑 · 数学 2015-12-23 Saharon Shelah

Improvements of the Large Sieve for Special Sequences

数论 · 数学 2024-10-01 John Friedlander , Henryk Iwaniec

Herein I respond to the criticism and to the complains by Benestad (Pattern Recogn. Phys. 1, 91-92, 2013, http://dx.doi.org/10.5194/prp-1-91-2013) of Scafetta (Pattern Recogn. Phys. 1, 37-57, 2013, http://dx.doi.org/10.5194/prp-1-37-2013)…

地球物理 · 物理学 2013-09-27 Nicola Scafetta

The classical Gaussian concentration inequality for Lipschitz functions is adapted to a setting where the classical assumptions (i.e. Lipschitz and Gaussian) are not met. The theory is more direct than much of the existing theory designed…

概率论 · 数学 2022-05-16 Daniel J. Fresen

In a recent paper, the authors propose to separately calculate the volumetric and chemical contributions to the elastic stiffness coefficients of systems containing solutes, as it is "computationally more efficient". We show that this is…

材料科学 · 物理学 2018-07-04 D. Psiachos

We find it absurd that Walliser [1] essentially used the same analysis and obtained identical results as reported in [3], yet arrived at different conclusions. Namely, based on an incomplete theory and using erroneous arguments, he not only…

统计力学 · 物理学 2007-05-23 Daniel C. Hong , Paul V. Quinn , Stefan Luding