An analogue of Wilton's formula and values of Dedekind zeta functions

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dc.contributor.author Banerjee, Soumyarup
dc.contributor.author Chakraborty, Kalyan
dc.contributor.author Hoque, Azizul
dc.date.accessioned 2020-11-05T06:07:16Z
dc.date.available 2020-11-05T06:07:16Z
dc.date.issued 2020-10
dc.identifier.citation Banerjee, Soumyarup; Chakraborty, Kalyan and Hoque, Azizul, “An analogue of Wilton's formula and values of Dedekind zeta functions”, Journal of Mathematical Analysis and Applications, DOI: 10.1016/j.jmaa.2020.124675, vol. 495, no. 1, Oct. 2020. en_US
dc.identifier.issn 0022-247X
dc.identifier.uri https://doi.org/10.1016/j.jmaa.2020.124675
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/5813
dc.description.abstract J. R. Wilton obtained an expression for the product of two Riemann zeta functions. This expression played a crucial role to find the approximate functional equation for the product of two Riemann zeta functions in the critical region. We find analogous expressions for the product of two Dedekind zeta functions and then use these expressions to find some expressions for Dedekind zeta values attached to arbitrary real as well as quadratic number fields at any positive integer.
dc.description.statementofresponsibility by Soumyarup Banerjee, Kalyan Chakraborty and Azizul Hoque
dc.language.iso en_US en_US
dc.publisher Elsevier en_US
dc.subject Wiltons Formula en_US
dc.subject Dedekind Zeta Function en_US
dc.subject Special Values of Dedekind Zeta Function en_US
dc.subject Riesz Sums en_US
dc.subject Nakajima Dissection en_US
dc.title An analogue of Wilton's formula and values of Dedekind zeta functions en_US
dc.type Article en_US
dc.relation.journal Journal of Mathematical Analysis and Applications


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