On functional relations between the Mordell-Tornheim double zeta functions and the Riemann zeta function

• Autores: Hirofumi Tsumura
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 142, Nº 3, 2007, págs. 395-405
• Idioma: inglés
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• Resumen

  • In this paper, we give certain analytic functional relations between the Mordell¿Tornheim double zeta functions and the Riemann zeta function. These can be regarded as continuous generalizations of the known discrete relations between the Mordell¿Tornheim double zeta values and the Riemann zeta values at positive integers discovered in the 1950's.