A new method in the study of Euler sums |
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Authors: | Ankur Basu |
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Institution: | (1) C/o Ranjit Basu, 82A Ramprasad Chatterjee Road, Narua, P.O., Chandannagar, Dist. Hooghly, 712136, West Bengal, India |
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Abstract: | A new method in the study of Euler sums is developed. A host of Euler sums, typically of the form
, are expressed in closed form. Also obtained as a by-product, are some striking recursive identities involving several Dirichlet
series including the well-known Riemann Zeta-function.
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Keywords: | Riemann Zeta function Euler sums Recursions formulas |
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