Results 11 to 20 of about 14,098 (157)
Iwasawa Theory and Motivic L-functions [PDF]
We illustrate the use of Iwasawa theory in proving cases of the (equivariant) Tamagawa number ...
Flach, Matthias
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Fast Calculation of Bernoulli Numbers
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
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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
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Anticyclotomic Iwasawa theory of CM elliptic curves [PDF]
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
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Iwasawa theory and $p$-adic Hodge theory [PDF]
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 \(\mathbb{Q}\).
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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
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Iwasawa Theory of Jacobians of Graphs
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).
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Energetic formulation of the subgroup commutativity degree
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
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On units generated by Euler systems
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
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