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Related papers: Also quite large b subseteq pcf(a) behave nicely

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

Number Theory · Mathematics 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…

Probability · Mathematics 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.

High Energy Physics - Lattice · Physics 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…

Logic · Mathematics 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…

Classical Analysis and ODEs · Mathematics 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.

Classical Analysis and ODEs · Mathematics 2009-05-05 Richard J. Mathar

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

Metric Geometry · Mathematics 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…

Combinatorics · Mathematics 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…

Logic · Mathematics 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.

Number Theory · Mathematics 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.

Group Theory · Mathematics 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…

Number Theory · Mathematics 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…

Logic · Mathematics 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.

High Energy Physics - Theory · Physics 2017-12-21 Joseph Ben Geloun , Vincent Rivasseau

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

Logic · Mathematics 2015-12-23 Saharon Shelah

Improvements of the Large Sieve for Special Sequences

Number Theory · Mathematics 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)…

Geophysics · Physics 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…

Probability · Mathematics 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…

Materials Science · Physics 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…

Statistical Mechanics · Physics 2007-05-23 Daniel C. Hong , Paul V. Quinn , Stefan Luding