Regularizations and finite ladders in multiple trigonometry

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概要

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• We provide an extended interpretation of the zeta regularized product in \cite{D}. This allows us to get regularized product expressions of Holder's double sine function and its companion, i.e. the double and triple trigonometric functions. The expressions may reasonably explain the ladder structure among these multiple trigonometric functions. We also introduce the notion of finite ladders of functions which helps us understand the meaning behind these regularizations.

• 社団法人 日本数学会の論文
• 2005-10-01

著者

• Wakayama Masato

  Faculty Of Mathematics Kyushu University

• KUROKAWA Nobushige

  Department of Mathematics Tokyo Institute of Technology

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• Remarks on Shintani's zeta function
• Splitting density for lifting about discrete groups
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• A VARIATION OF EULER'S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• ZETA REGULARIZATIONS AND $q $-ANALOGUE OF RING SINE FUNCTIONS
• Zeros of Witten zeta functions and absolute limit
• Formal group laws for multiple sine functions and applications

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