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In this article, we show that the second nearest neighbor correlation function can be simplified with some combinatorial formulae, and give an explicit formula for the third
Dans cette note, nous montrons que la dynamique d’un polynˆ ome quadratique sur un corps local peut ˆetre d´etermin´ee en temps fini, et que l’on a l’alternative suivante :
Finally using class field theory and [2], we determine the ramification groups of G p ( K ) (we distinguish the case when K is unramified from the case when K is totally ramified,
This new proof, however, is elementary in that it does not use the Kummer- Dedekind, nor the Kronecker Density Theorems; the proof actually shows that our sets of primes have a
conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified out- side a set of four degree-one places.. In order
Voutier ont montr´e que pour toute paire de Lucas ou de Lehmer ( α, β ) et pour tout n > 30, les entiers, dits nombres de Lucas (ou de Lehmer) u n ( α, β ) admet- taient un
in this case, one can also appeal to the Hermite-Biehler theorem: if S and T are nonconstant polynomials with real coefficients, then the polynomials S and T have interlacing zeros
In [6], the author characterized the extremal graph of bicyclic graphs with k pendant vertices with maximal signless Laplacian spectral radius2. For further details, we refer the