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Trends in number theory : [electronic resource] fifth Spanish meeting on number theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain / Fernando Chamizo [and three others], editor.

Contributor(s): Chamizo, Fernando, 1967-.

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BookSeries: Contemporary mathematics, v. 649.Publisher: Providence, Rhode Island : [Madrid?] : American Mathematical Society ; Real Sociedad Matematica Espanola, 2015Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeSubject(s): Number theory -- Congresses | Number theory -- Sequences and sets -- Binomial coefficients; factorials; $q$-identities | Number theory -- Discontinuous groups and automorphic forms -- Modular and automorphic functions | Number theory -- Discontinuous groups and automorphic forms -- Forms of half-integer weight; nonholomorphic modular forms | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus $\ne 1$ over global fields | Field theory and polynomials -- Field extensions -- Inverse Galois theory | Algebraic geometry -- (Co)homology theory -- Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications | Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type | Group theory and generalizations -- Semigroups -- Commutative semigroupsAdditional physical formats: Trends in number theory :DDC classification: 512.7 Other classification: 11B65 | 11F03 | 11F37 | 11G05 | 11G30 | 12F12 | 14F10 | 16T05 | 20C33 | 20M14 Online resources: Contents | Contents

Contents:

Automorphic Galois Representations and the Inverse Galois Problem / Sara Arias-de-Reyna -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13016 Two Mayer-Vietoris Spectral Sequences for $\mathcal {D}$-modules / Alberto Casta�no Dom�inguez -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13017 From Galois to Hopf Galois: Theory and Practice / T. Crespo, A. Rio and M. Vela -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13018 Elliptic Curves with Torsion Group $\mathbb {Z}/ 8 \mathbb {Z} $ or $\mathbb {Z}/2 \mathbb {Z} \times \mathbb {Z} /6 \mathbb {Z} $ / Andrej Dujella and Juan Carlos Peral -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13019 Equidistribution, $L$-Functions, and Sato-Tate Groups / Francesc Fit�e -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13020 Covering Techniques and Rational Points on Some Genus 5 Curves / Enrique Gonz�alez-Jim�enez -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13021 On Quantum Integers and Rationals / Bernard Le Stum and Adolfo Quir�os -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13022 A Space of Weight 1 Modular Forms Attached to Totally Real Cubic Number Fields / Guillermo Mantilla-Soler -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13023 Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases / Guadalupe M�arquez-Campos and Jos�e M. Tornero -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13024 Classification des repr�esentations modulaires de $\mathrm {GL}_n(q)$ en caract�eristique non naturelle / Alberto M�inguez and Vincent S�echerre -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13025 Fractional $p$-adic Differentiability Under the Amice Transform / Enno Nagel -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13026 Reciprocity Laws Related to Finite Potent Endomorphisms / Fernando Pablos Romo -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13027 When the Modular World Becomes Non-Holomorphic / Dulcinea Raboso -- http://www.ams.org/conm/649/ http://dx.doi.org/10.1090/conm/649/13028

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Automorphic Galois Representations and the Inverse Galois Problem / Sara Arias-de-Reyna -- Two Mayer-Vietoris Spectral Sequences for $\mathcal {D}$-modules / Alberto Casta�no Dom�inguez -- From Galois to Hopf Galois: Theory and Practice / T. Crespo, A. Rio and M. Vela -- Elliptic Curves with Torsion Group $\mathbb {Z}/ 8 \mathbb {Z} $ or $\mathbb {Z}/2 \mathbb {Z} \times \mathbb {Z} /6 \mathbb {Z} $ / Andrej Dujella and Juan Carlos Peral -- Equidistribution, $L$-Functions, and Sato-Tate Groups / Francesc Fit�e -- Covering Techniques and Rational Points on Some Genus 5 Curves / Enrique Gonz�alez-Jim�enez -- On Quantum Integers and Rationals / Bernard Le Stum and Adolfo Quir�os -- A Space of Weight 1 Modular Forms Attached to Totally Real Cubic Number Fields / Guillermo Mantilla-Soler -- Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases / Guadalupe M�arquez-Campos and Jos�e M. Tornero -- Classification des repr�esentations modulaires de $\mathrm {GL}_n(q)$ en caract�eristique non naturelle / Alberto M�inguez and Vincent S�echerre -- Fractional $p$-adic Differentiability Under the Amice Transform / Enno Nagel -- Reciprocity Laws Related to Finite Potent Endomorphisms / Fernando Pablos Romo -- When the Modular World Becomes Non-Holomorphic / Dulcinea Raboso --

http://www.ams.org/conm/649/

http://dx.doi.org/10.1090/conm/649/13016

http://www.ams.org/conm/649/

http://dx.doi.org/10.1090/conm/649/13017

http://www.ams.org/conm/649/

http://dx.doi.org/10.1090/conm/649/13018

http://www.ams.org/conm/649/

http://dx.doi.org/10.1090/conm/649/13019

http://www.ams.org/conm/649/

http://dx.doi.org/10.1090/conm/649/13020

http://www.ams.org/conm/649/

http://dx.doi.org/10.1090/conm/649/13021