Recurrence for values of the zeta function

• Autores: Marc Prévost
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 12, 2010, págs. 1382-1394
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.05.011
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• Resumen

  • Using the Padé approximation of the exponential function, we obtain a general recurrence relation for values of the zeta function which contains, as particular cases, many of relations already proved. Applications to Bernoulli polynomials are given. At last, we derive some new recurrence relations with gap of length 4 for zeta numbers.