Results 11 to 20 of about 3,782,951 (354)
Ramanujan’s function k(τ)=r(τ)r2(2τ) and its modularity
Open Mathematics, 2020 We study the modularity of Ramanujan’s function k(τ)=r(τ)r2(2τ)k(\tau )=r(\tau ){r}^{2}(2\tau ), where r(τ)r(\tau ) is the Rogers-Ramanujan continued fraction.
Lee Yoonjin, Park Yoon Kyung
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Effective field theories as Lagrange spaces
Journal of High Energy Physics, 2023 We present a formulation of scalar effective field theories in terms of the geometry of Lagrange spaces. The horizontal geometry of the Lagrange space generalizes the Riemannian geometry on the scalar field manifold, inducing a broad class of affine ...
Nathaniel Craig +3 more
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Tame class field theory for arithmetic schemes [PDF]
, 2004 We extend the unramified class field theory for arithmetic schemes of K. Kato and S. Saito to the tame case. Let $X$ be a regular proper arithmetic scheme and let $D$ be a divisor on $X$ whose vertical irreducible components are normal schemes. Theorem:
Alexander Schmidt +12 more
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Chow group of $0$-cycles with modulus and higher-dimensional class field theory [PDF]
, 2013 One of the main results of this paper is a proof of the rank one case of an existence conjecture on lisse l-adic sheaves on a smooth variety over a finite field due to Deligne and Drinfeld.
M. Kerz, S. Saito
semanticscholar +1 more source
Kaluza-Klein fermion mass matrices from exceptional field theory and N $$ \mathcal{N} $$ = 1 spectra
Journal of High Energy Physics, 2021 Using Exceptional Field Theory, we determine the infinite-dimensional mass matrices for the gravitino and spin-1/2 Kaluza-Klein perturbations above a class of anti-de Sitter solutions of M-theory and massive type IIA string theory with topologically ...
Mattia Cesàro, Oscar Varela
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Some remarks on the local class field theory of Serre and Hazewinkel [PDF]
, 2013 We give a new approach for the local class field theory of Serre and Hazewinkel.
Suzuki, Takashi
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Id\`elic class field theory for 3-manifolds [PDF]
, 2013 Following the analogies between 3-dimensional topology and number theory, we study an id\`elic form of class field theory for 3-manifolds. For a certain set $\mathcal{K}$ of knots in a 3-manifold $M$, we first present a local theory for each knot in ...
Hirofumi Niibo
semanticscholar +1 more source
General Fractional Noether Theorem and Non-Holonomic Action Principle
Mathematics, 2023 Using general fractional calculus (GFC) of the Luchko form and non-holonomic variational equations of Sedov type, generalizations of the standard action principle and first Noether theorem are proposed and proved for non-local (general fractional) non ...
Vasily E. Tarasov
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Cohomological Approach to Class Field Theory in Arithmetic Topology
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2019 We establish class field theory for three-dimensional manifolds and knots. For this purpose, we formulate analogues of the multiplicative group, the idèle class group, and ray class groups in a cocycle-theoretic way.
Tomoki Mihara
semanticscholar +1 more source
Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
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