A note on relative Gelfand–Fuks cohomology of spheres
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley +1 more source
Wild conductor exponents of curves
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
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On the analogs of Euler numbers and polynomials associated with p-adic integrals on the rings of p-adic integers at q=-1 [PDF]
, 2006 Taekyun Kim
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Note on the
Journal of Inequalities and Applications, 2009 We construct the -Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our -Euler polynomials of higher order by using the multiple integral ...
Kim Taekyun +3 more
doaj
Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Interpolation Functions of
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new -extensions of Apostol's type Euler polynomials using the fermionic -adic integral on . We define the - -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of
Kim Young-Hee +2 more
doaj
Identities concerning Bernoulli and Euler polynomials [PDF]
, 2004 Zhi‐Wei Sun, Hao Pan
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Hadamard and Vandermonde determinants and Bernoulli-Euler-Lagrange-Aitken-Nikiporets type numerical method for roots of polynomials [PDF]
, 2023 M. M. Chernyavskij +2 more
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A Note on a New Type of Degenerate poly-Euler Numbers and Polynomials
, 2020 Waseem Ahmad Khan
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