Simple Formulae for the Number of Quadrics and Symmetric Forms of Modules Over Local Rings
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Abstract
Simple formulae of similar type for the number of quadrics and symmetric forms of modules over local rings are found analytically. This simplification of known formulae of Levchuk and Starikova is achieved using integral representation method of combinatorial summation and leads to number-theoretical identities of new type. The problem of algebraic interpretation of new formulae is posed.
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|---|---|---|
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