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19922026
most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

Showing 2013 · math.NTShow all

10 papers · 2 filters

math.NT2013★ 10 cited

Asymptotic behaviors of means of central values of automorphic -functions for GL(2)

Shingo Sugiyama

Let be the adele ring of a totally real algebraic number field . We push forward an explicit computation of a relative trace formula for periods of automorphic form…

math.NT2013

-Johnson homomorphisms and pro-p groups

Masanori Morishita, Yuji Terashima

We propose an approach to study non-Abelian Iwasawa theory, using the idea of Johnson homomorphisms in low dimensional topology. We introduce arithmetic analogues of Johnson homomo…

math.NT2013

On the vanishing of cohomologies of -adic Galois representations associated with elliptic curves

Jerome T. Dimabayao

Let be a -adic field and an elliptic curve over with potential good reduction. For some large Galois extensions of containing all -power roots of unity, w…

math.NT2013

Algebraic independence of the Carlitz period and the positive characteristic multizeta values at n and (n,n)

Yoshinori Mishiba

Let be the rational function field over the finite field of elements and its fixed algebraic closure. In this paper, we study algebraic relations over a…

math.NT2013

On congruences of Galois representations of number fields

Yoshiyasu Ozeki, Yuichiro Taguchi

We give a criterion for two l-adic Galois representations of an algebraic number field to be isomorphic when restricted to a decomposition group, in terms of the global representat…

math.NT2013★ 18 cited

Sum formula for finite multiple zeta values

Shingo Saito, Noriko Wakabayashi

The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite m…