ON THE EQUIVALENCE OF BEUKERS-TYPE AND SOROKIN-TYPE MULTIPLE INTEGRALS

C. Viola

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ON THE EQUIVALENCE OF BEUKERS-TYPE AND SOROKIN-TYPE MULTIPLE INTEGRALS

机译：关于Beukers型与Sorokin型多重积分的等价性

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It is well known that a triple Beukers-type integral, as defined by G. Rhin and C. Viola, can be transformed into a suitable triple Sorokin-type integral. I will discuss possible extensions to the n-dimensional case of a similar equivalence between suitably defined Beukers-type and Sorokin-type multiple integrals, with consequences on the arithmetical structure of such integrals as linear combinations of zeta-values with rational coefficients.

机译：众所周知，可以将由G.Rhin和C.Viola定义的三重Beukers型积分转化为合适的三重Sorokin型积分。我将讨论在适当定义的Beukers型和Sorokin型多重积分之间类似等价关系的n维情形的可能扩展，其对诸如积分有理系数的zeta值的线性组合之类的积分的算术结构产生影响。

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《Journal of Mathematical Sciences》 |2012年第5期|p.561-568|共8页
作者
C. Viola;
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Dipartimento di Matematica, Universita di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy;

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ON THE EQUIVALENCE OF BEUKERS-TYPE AND SOROKIN-TYPE MULTIPLE INTEGRALS

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