Fractional differential relations for the Lerch zeta function
Keyword(s):
AbstractWe explore a recently opened approach to the study of zeta functions, namely the approach of fractional calculus. By utilising the machinery of fractional derivatives and integrals, which have rarely been applied in analytic number theory before, we are able to obtain some fractional differential relations and finally a partial differential equation of fractional type which is satisfied by the Lerch zeta function.
2015 ◽
Vol 13
(3)
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pp. 1033-1050
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2020 ◽
Vol 23
(1)
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pp. 103-125
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2012 ◽
Vol 218
(17)
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pp. 8526-8536
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2014 ◽
Vol 17
(1)
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