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2012•Georgian Mathematical JournalOpen access

Comment on the sums

Zurab K. Silagadze

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Abstract

This is a comment on the papers from Elkies [Amer. Math. Monthly 110 (2003), 561–573] and Cvijović–Klinowski [J. Comput. Appl. Math. 142 (2002), 435–439]. We provide an explicit expression for the kernel of the integral operator introduced in Elkies' paper. This explicit expression considerably simplifies the calculation of and enables a simple derivation of Cvijović and Klinowski's integral representation for .

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What this paper is about

This is a comment on the papers from Elkies [Amer. Math. Monthly 110 (2003), 561–573] and Cvijović–Klinowski [J. Comput. Appl. Math. 142 (2002), 435–439]. We provide an explicit expression for the kernel of the integral operator introduced in Elkies' paper. This explicit expression considerably simplifies the calculation of and enables a simple derivation of Cvijović and Klinowski's integral representation for .

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Available abstract

This is a comment on the papers from Elkies [Amer. Math. Monthly 110 (2003), 561–573] and Cvijović–Klinowski [J. Comput. Appl. Math. 142 (2002), 435–439]. We provide an explicit expression for the kernel of the integral operator introduced in Elkies' paper. This explicit expression considerably simplifies the calculation of and enables a simple derivation of Cvijović and Klinowski's integral representation for .

Key concepts: Mathematics, Simple (philosophy), Operator (biology), Kernel (algebra), Expression (computer science), Representation (politics), Algebra over a field, Calculus (dental)

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