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Zeta Values and Differential Operators on the Circle

โœ Scribed by Spencer Bloch

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
262 KB
Volume
182
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

The Fock representation of the Virasoro Lie algebra is extended to a larger graded Lie subalgebra of the algebra of differential operators on the circle. The central cocycle is related to values of the Riemann Zeta function at odd negative integers. The corresponding generating function is related to Eisenstein series for ลฝ . SL Z . An analogous result is obtained for values of L-series associated to even 2 Dirichlet characters using differential operators of infinite order. แฎŠ 1996 Academic Press, Inc. 1 y s y1 s''1 q 2 q 3 ะธะธะธ ,'' 0.2

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