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Arithmetic Identities Involving Bernoulli and Euler Numbers

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Abstract.

By applying the formal power series method to elementary trigonometric sums, we establish four classes of arithmetic identities involving Bernoulli and Euler numbers, including the recent formulae due to Liu and Luo (2005).

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, P.R. China

    Wenchang Chu & Chenying Wang

  2. Dipartimento di Matematica, Università del Salento, Lecce-Arnesano, P. O. Box 193, I-73100, Lecce, Italy

    Wenchang Chu

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  1. Wenchang Chu
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  2. Chenying Wang
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Correspondence to Wenchang Chu.

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Received: April 6, 2008. Revised: January 29, 2009.

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Chu, W., Wang, C. Arithmetic Identities Involving Bernoulli and Euler Numbers. Results. Math. 55, 65–77 (2009). https://doi.org/10.1007/s00025-009-0378-9

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  • DOI: https://doi.org/10.1007/s00025-009-0378-9

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