Results 21 to 30 of about 813 (211)
M0, 5: Toward the Chabauty–Kim method in higher dimensions
Mathematika, Volume 69, Issue 4, Page 1011-1059, October 2023., 2023 Abstract If Z is an open subscheme of SpecZ$\operatorname{Spec}\mathbb {Z}$, X is a sufficiently nice Z‐model of a smooth curve over Q$\mathbb {Q}$, and p is a closed point of Z, the Chabauty–Kim method leads to the construction of locally analytic functions on X(Zp)$X({\mathbb {Z}_p})$ which vanish on X(Z)$X(Z)$; we call such functions “Kim functions”.
Ishai Dan‐Cohen, David Jarossay
wiley +1 more source
Optimal Stein‐type goodness‐of‐fit tests for count data
Biometrical Journal, Volume 65, Issue 2, February 2023., 2023 Abstract Common count distributions, such as the Poisson (binomial) distribution for unbounded (bounded) counts considered here, can be characterized by appropriate Stein identities. These identities, in turn, might be utilized to define a corresponding goodness‐of‐fit (GoF) test, the test statistic of which involves the computation of weighted means ...
Christian H. Weiß +2 more
wiley +1 more source
On Degenerate Poly‐Daehee Polynomials Arising from Lambda‐Umbral Calculus
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this article, we derived various identities between the degenerate poly‐Daehee polynomials and some special polynomials by using λ‐umbral calculus by finding the coefficients when expressing degenerate poly‐Daehee polynomials as a linear combination of degenerate Bernoulli polynomials, degenerate Euler polynomials, degenerate Bernoulli polynomials ...
Sang Jo Yun, Jin-Woo Park, M. M. Bhatti
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Resurgence analysis of quantum invariants of Seifert fibered homology spheres
Journal of the London Mathematical Society, Volume 105, Issue 2, Page 709-764, March 2022., 2022 Abstract For a Seifert fibered homology sphere X$X$, we show that the q$q$‐series invariant Ẑ0(X;q)$\hat{\operatorname{Z}}_0(X;q)$, introduced by Gukov–Pei–Putrov–Vafa, is a resummation of the Ohtsuki series Z0(X)$\operatorname{Z}_0(X)$. We show that for every even k∈N$k \in \mathbb {N}$ there exists a full asymptotic expansion of Ẑ0(X;q)$ \hat ...
Jørgen Ellegaard Andersen +1 more
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Degenerate Poly‐Lah‐Bell Polynomials and Numbers
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Many mathematicians studied “poly” as a generalization of the well‐known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly‐Lah‐Bell polynomials arising from the degenerate polyexponential functions which are reduced to degenerate Lah‐Bell ...
Taekyun Kim, Hye Kyung Kim, Ali Jaballah
wiley +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Following earlier work by Gangl, Cathelineaue, and others, Siddiqui defined the Siegel’s cross‐ratio identity and Goncharov’s triple ratios over the truncated polynomial ring Fεν. They used these constructions to introduce both dialogarithmic and trilogarithmic tangential complexes of first order.
Sadaqat Hussain +5 more
wiley +1 more source
A Double Integral Containing the Fresnel Integral Function S(x): Derivation and Computation
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 A two‐dimensional integral containing S(x) is derived. S(x) is the Fresnel integral function, and the double integral is taken over the range 0 < x < ∞ and 0 < y < ∞. A representation in terms of the Hurwitz–Lerch zeta function is derived, from which other special function representations can be evaluated. All the results in this work are new.
Robert Reynolds +2 more
wiley +1 more source
Nielsen’s Generalized Polylogarithms [PDF]
SIAM Journal on Mathematical Analysis, 1986 Properties (in particular functional relations and special values) of the functions \[ (-1)^{n+p-1}(n-1)! p! S_{n,p}(z)=\int^{1}_{0}\log^{n-1}t \log^ p(1-zt)(dt/t), \] \[ (-1)^{n+p-1}(n-1)! p! L_{n,p}(z)=\int^{z}_{0}\log^{n-1}t \log^ p(1-t)(dt/t), \] \[ (-1)^{n-1}(n-1)! p!
openaire +2 more sources
High Risk, Low Reward: A Challenge to the Astronomical Value of Existential Risk Mitigation
, 2023 Philosophy &Public Affairs, Volume 51, Issue 4, Page 373-412, Fall 2023.
David Thorstad
wiley +1 more source
Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2017 The article considers a mixed problem with homogeneous boundary conditions for onedimensional homogeneous wave equation. Such a problem can arise, for example, when studying oscillations of current and voltage in the conductor through which electric ...
P. G. Lasy, I. N. Meleshko
doaj +1 more source