Some relations associated with an extension of Koshliakov’s formula
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- Proc. Amer. Math. Soc. 17 (1966), 543-551 Request permission
References
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A. Erdélyi, Tables of integral transforms, Vol. 2, McGraw-Hill, New York, 1954.
- Hans Hamburger, Über einige Beziehungen, die mit der Funktionalgleichung der Riemannschen $\xi$-Funktion äquivalent sind, Math. Ann. 85 (1922), no. 1, 129–140 (German). MR 1512054, DOI 10.1007/BF01449611 N. S. Koshliakov, Application of the theory of sum formulae to the investigation of a class of one valued analytical functions in the theory of numbers, Messenger of Math. 58 (1928), 1-23. —, On Voronoǐ’s sum formula, Messenger of Math. 58 (1928), 30-32. K. Soni, On some relations which are equivalent to the functional equations of the type of Riemann’s zeta function and tables of divisor transforms, Ph.D. Thesis, Oregon State University, Corvallis, Oregon, 1964.
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 543-551
- MSC: Primary 10.43
- DOI: https://doi.org/10.1090/S0002-9939-1966-0201400-5
- MathSciNet review: 0201400