Results 11 to 20 of about 14,098 (157)

Iwasawa Theory and Motivic L-functions [PDF]

open access: yes, 2009
We illustrate the use of Iwasawa theory in proving cases of the (equivariant) Tamagawa number ...
Flach, Matthias
core   +1 more source

Fast Calculation of Bernoulli Numbers

open access: yesСовременные информационные технологии и IT-образование, 2019
Bernoulli numbers are often found in mathematical analysis, number theory, combinatorics, and other areas of mathematics. In some monographs on number theory there are separate chapters devoted only to Bernoulli numbers and their properties.
Rustem R. Aidagulov, Sergei T. Glavatsky
doaj   +1 more source

Sur la 2-Extension Maximale Non Ramifiée de la Z2-Extension Cyclotomique de Certains Corps Quadratiques

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Soient ℓ et ℓ' deux nombres premiers distincts, k = Q(√ℓℓ') et k∞ la Z2-extension cyclotomique de k. Soient L∞ la 2-extension maximale non ramifiée sur k∞ et L∞ la sous-extension abélienne maximale de L∞/k∞.
Mouhib Ali
doaj   +1 more source

Anticyclotomic Iwasawa theory of CM elliptic curves [PDF]

open access: yes, 2005
We study the Iwasawa theory of a CM elliptic curve $E$ in the anticyclotomic $\mathbf{Z}_p$-extension of the CM field, where $p$ is a prime of good, ordinary reduction for $E$. When the complex $L$-function of $E$ vanishes to even order, the two variable
Agboola, Adebisi, Howard, Benjamin
core   +3 more sources

Iwasawa theory and $p$-adic Hodge theory [PDF]

open access: yesKodai Mathematical Journal, 1993
The Iwasawa main conjecture for varieties (or motives) over arbitrary number fields is formulated using \(p\)-adic Hodge theory. The classical Iwasawa main conjecture gives a relation between the special values of partial Riemann zeta-functions to the Galois module structures of the ideal class groups of cyclotomic fields over \(\mathbb{Q}\).
openaire   +3 more sources

Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory

open access: yesPhysical Review Special Topics. Accelerators and Beams, 2014
The dynamics of charged particles in general linear focusing lattices with quadrupole, skew-quadrupole, dipole, and solenoidal components, as well as torsion of the fiducial orbit and variation of beam energy is parametrized using a generalized Courant ...
Hong Qin   +3 more
doaj   +1 more source

Iwasawa Theory of Jacobians of Graphs

open access: yesAlgebraic Combinatorics, 2022
The Jacobian group (also known as the critical group or sandpile group) is an important invariant of a finite, connected graph X; it is a finite abelian group whose cardinality is equal to the number of spanning trees of X (Kirchhoff’s Matrix Tree Theorem).
openaire   +2 more sources

Energetic formulation of the subgroup commutativity degree

open access: yesNonlinear Analysis
Finite groups in which every pair of subgroups (H, K) satisfies H K = K H have been classified by Iwasawa, but only in the last decade it was introduced the notion of subgroup commutativity degree sd(G) of groups G. From restrictions of numerical nature
Seid Kassaw Muhie   +2 more
doaj   +1 more source

On units generated by Euler systems

open access: yes, 2009
In the context of cyclotomic fields, it is still unknown whether there exist Euler systems other than the ones derived from cyclotomic units. Nevertheless, we first give an exposition on how norm-compatible units are generated by any Euler system ...
Saikia, Anupam
core   +1 more source

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