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Some bounds and limits in the theory of Riemann's zeta function
bounds and limits theory of Riemann's zeta function Number Theory
2011/9/21
Abstract: For any real a>0 we determine the supremum of the real \sigma\ such that \zeta(\sigma+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different.}
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Limits on the Stretch of Non-adaptive Constructions of Pseudo-Random Generators
Limits Non-adaptive Constructions Pseudo-Random Generators
2012/12/3
The standard approach for constructing a large-stretch pseudo-randomgenerator given a one-way permutation or given a smallerstretch pseudo-randomgenerator involves repeatedly composing the given primi...
Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6
Graded limits of minimal affinizations Beyond multiplicty free case for type E6
2011/1/21
We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured...