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A direct proof of Jauregui-Tsallis' conjecture      direct proof  Jauregui-Tsallis' conjecture        font style='font-size:12px;'> 2011/1/18
We give here direct proof of a recent conjecture of Jauregui and Tsallis about a new representation of Dirac’s delta distribution by means of q-exponentials. The proof is based in the use of tempered ...
We discuss the Nakamura’s conjecture stating that the Tomimatsu-Sato black hole solution with deformation parameter n is composed of the special solutions of the Toda molecule equation at the n-th lat...
On the coherence conjecture of Pappas and Rapoport      coherence conjecture  Pappas  Rapoport        font style='font-size:12px;'> 2011/3/1
We prove the (generalized) coherence conjecture of Pappas and Rapoport proposed in [PR3]. As a corollary, one of the main theorems in [PR4], which describes the geometry of the special fibers of the l...
We show that there exists a family of irreducible representations ri (of finite groups Gi) such that,for any constant t, the average of ri over t uniformly random elements g1, . . . ,gt ∈ Gi has opera...
A note on a conjecture of Graffiti     Graffiti  数学  猜想       font style='font-size:12px;'> 2008/11/28
A note on a conjecture of Graffiti
Proof For A Conjecture On General Means     General means  Inflection point       font style='font-size:12px;'> 2010/1/22
We give a proof for a conjecture suggested by Olivier de La Grandville and Robert M. Solow, which says that the general mean of two positive numbers, as a function of its order, has one and only one i...

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