Results 11 to 20 of about 302 (145)
Modular Symbols in Iwasawa Theory [PDF]
, 2014 This survey paper is focused on a connection between the geometry of $\mathrm{GL}_d$ and the arithmetic of $\mathrm{GL}_{d-1}$ over global fields, for integers $d \ge 2$. For $d = 2$ over $\mathbb{Q}$, there is an explicit conjecture of the third author relating the geometry of modular curves and the arithmetic of cyclotomic fields, and it is proven in
Fukaya, Takako +2 more
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Residual supersingular Iwasawa theory and signed Iwasawa invariants
Rendiconti del Seminario Matematico della Università di Padova, 2023 For an odd prime p and a supersingular elliptic curve over a number field, this article introduces a multi-signed residual Selmer group, under certain hypotheses on the base field. This group depends purely on the residual representation at
Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio +1 more
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Iwasawa theory for the anticyclotomic extension [PDF]
Pacific Journal of Mathematics, 1985 Let \(E\) be an elliptic curve over \(\mathbb Q\) with complex multiplication by the ring of integers of a quadratic imaginary field \(K\), and let \(p\) be a prime, different from 2 and 3, which splits in \(K\). The author determines the \(\Lambda\)-module structure of the local units modulo elliptic units for the anticyclotomic \(\mathbb Z_p ...
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Fast Calculation of Bernoulli Numbers
Современные 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
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Analele 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
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Physical 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
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The integral logarithm in Iwasawa theory : an exercise [PDF]
Journal de théorie des nombres de Bordeaux, 2010 Let l be an odd prime number and H a finite abelian l -group.
Ritter, Jürgen, Weiss, Alfred
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Exterior powers in Iwasawa theory
Journal of the European Mathematical Society, 2021 The Iwasawa theory of CM fields has traditionally concerned Iwasawa modules that are abelian pro- p Galois groups with ramification allowed at a maximal set of primes over p
F. M. Bleher +5 more
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Iwasawa theory and $p$-adic Hodge theory [PDF]
Kodai 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 \(\mathbb{Q}\).
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