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Rational valued series
of exponentials and divisor functions
Emil Grosswald |
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Vol. 60 (1975), No. 1, 111–114
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Abstract |
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Recently A. Terras established some (soon to be published) relations between the values of Riemann’s zeta function at consecutive positive integral argument and values of certain modified Bessel functions. By combining these relations with some previous results concerning the values of ζ(s) at odd, positive integers (Grosswald-Nachrichten Akad. Wiss. Göttingen, II Math.-Phys. Klasse 1970, pp. 9–13) it follows that certain infinite series of exponentials and divisor functions (somewhat reminiscent of Lambert series) are rational valued. |
Mathematical Subject Classification
Primary: 10H05
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Milestones
Received: 23 March 1974
Published: 1 September 1975
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Authors |
| Emil Grosswald | |
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