منابع مشابه
Theta functions on covers of symplectic groups
We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$. This representation is obtained from the residues of Eisenstein series on this group. If $r$ is odd, $nle r
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The largest class of hyperstructures is the Hv-structures, introduced in 1990, which proved to have a lot of applications in mathematics and several applied sciences, as well. Hyperstructures are used in the Lie-Santilli theory focusing to the hypernumbers, called e-numbers. We present the appropriate e-hyperstuctures which are defined using any map, in the sense the derivative map, called thet...
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In response to a question of Beauville, we give a new class of examples of base points for the linear system |Θ| on the moduli space SUX(r) of semistable rank r vector bundles of trivial determinant on a curve X and we prove that for sufficiently large r the base locus is positive dimensional.
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n≥0(−1) nq (n−1)n 2 xn are called partial theta functions. In his lost noteboook, Ramanujan recorded many identities for these functions. A few years ago Warnaar found an elegant formula for a sum of two partial theta series. Subsequently, Andrews and Warnaar established a similar result for the product of two partial theta functions. In this note we discuss the relation between the Andrews–War...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2010
ISSN: 0035-7596
DOI: 10.1216/rmj-2010-40-1-155