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Optimal bounds for Neumann eigenvalues in terms of the diameter
Springer Science and Business Media LLC -
Square-full numbers in Piatetski–Shapiro sequences
Springer Science and Business Media LLC - Tập 44 Số 2 - Trang 385-391 - 2020
On adjoint Bloch–Kato Selmer groups for $$\textrm{GSp}_{2g}$$
Springer Science and Business Media LLC - - Trang 1-34 - 2022
We study the adjoint Bloch–Kato Selmer groups attached to a classical point in the cuspidal eigenvariety associated with
$$\textrm{GSp}_{2g}$$
. Our strategy is based on the study of families of Galois representations on the eigenvariety, which is inspired by the book of J. Bellaiche and G. Chenevier.
On quantum jumps and attractors of the Maxwell–Schrödinger equations
Springer Science and Business Media LLC - Tập 46 - Trang 139-159 - 2021
Our goal is the discussion of the problem of mathematical interpretation of basic postulates (or “principles”) of Quantum Mechanics: transitions to quantum stationary orbits, the wave-particle duality, and the probabilistic interpretation, in the context of semiclassical self-consistent Maxwell–Schrödinger equations. We discuss possible dynamical interpretation of these postulates relying on a new......
Galois coinvariants of the unramified Iwasawa modules of multiple $$\mathbb {Z}_p$$ -extensions
Springer Science and Business Media LLC - Tập 45 - Trang 407-431 - 2020
For a CM-field K and an odd prime number p, let
$$\widetilde{K}'$$
be a certain multiple
$$\mathbb {Z}_p$$
-extension of K. In this paper, we study several basic properties of the unramified Iwasaw......
Sur le théorème de Fermat sur $${\mathbb Q}\big (\sqrt{5}\big )$$
Springer Science and Business Media LLC - Tập 39 - Trang 49-59 - 2015
Let p be an odd prime number. Using modular arguments, we give an easy testable condition which allows often to prove Fermat’s Last Theorem over the quadratic field
$${\mathbb Q}\bigl (\sqrt{5}\bigr )$$
for the exponent p. It is related to Wendt’......
On the discriminator of Lucas sequences
Springer Science and Business Media LLC - Tập 43 - Trang 51-71 - 2018
We consider the family of Lucas sequences uniquely determined by
$$U_{n+2}(k)=(4k+2)U_{n+1}(k) -U_n(k),$$
with initial values
$$U_0(k)=0$$
......
Iterated extensions and relative Lubin-Tate groups
Springer Science and Business Media LLC - Tập 40 - Trang 17-28 - 2016
Let K be a finite extension of
$${\mathbf {Q}}_{p}$$
with residue field
$${\mathbf {F}}_q$$
......
Formules de genres et conjecture de Greenberg
Springer Science and Business Media LLC - Tập 42 - Trang 267-280 - 2017
Greenberg’s well known conjecture, (GC) for short, asserts that the Iwasawa invariants
$$\lambda $$
and
$$\mu $$
......
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