Qing LuUniversity of Chinese Academy of SciencesWeizhe ZhengMorningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of SciencesZhiyong ZhengBeihang University
Arithmetic Geometry and Commutative AlgebraNumber Theorymathscidoc:1804.24001
Distinguished Paper Award in 2018
Journal für die Reine und Angewandte Mathematik, 2018, (741), 67-86, 2018
Jose Alejandro Lara Rodriguez · Dinesh S Thakur. Zeta-like Multizeta Values for $\mathbb{F}_q[t]$. 2013.
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Mishiba Y. Algebraic independence of the Carlitz period and the positive characteristic multizeta values at n and (n, n)[J]. Proceedings of the American Mathematical Society, 2013, 143(9): 3753-3763.
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Dinesh S Thakur. Multizeta in function eld arithmetic. 2011.
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Dinesh S Thakur. Power sums of polynomials over finite fields and applications: A survey ☆. 2015.
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Chang C, Papanikolas M A, Yu J, et al. An effective criterion for Eulerian multizeta values in positive characteristic[C]., 2014.
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Yoshinori Mishiba. On algebraic independence of certain multizeta values in characteristic p. 2014.
In this paper, we completely prove a standard conjecture on the local converse theorem for generic representations of GLn(F), where F is a non-archimedean local field.
Let p be a prime and L be a finite extension of ℚp. We study the ordinary parts of GL2(L)-representations arised in the mod p cohomology of Shimura curves attached to indefinite division algebras which splits at a finite place above p. The main tool of the proof is a theorem of Emerton \cite{Em3}.