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Some relations associated with an extension of Koshliakov's formula


Author: Kusum Soni
Journal: Proc. Amer. Math. Soc. 17 (1966), 543-551
MSC: Primary 10.43
MathSciNet review: 0201400
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References [Enhancements On Off] (What's this?)

  • [1] A. Erdélyi, Tables of integral transforms, Vol. 2, McGraw-Hill, New York, 1954.
  • [2] Hans Hamburger, Über einige Beziehungen, die mit der Funktionalgleichung der Riemannschen 𝜉-Funktion äquivalent sind, Math. Ann. 85 (1922), no. 1, 129–140 (German). MR 1512054, 10.1007/BF01449611
  • [3] 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.
  • [4] -, On Voronoi's sum formula, Messenger of Math. 58 (1928), 30-32.
  • [5] 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.

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DOI: https://doi.org/10.1090/S0002-9939-1966-0201400-5
Article copyright: © Copyright 1966 American Mathematical Society