Geodesic
On instances of Fox’s integral equation connection to the Riemann zeta function
Archivum mathematicum, Tome 55 (2019) no. 3, pp. 195-201 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We consider some applications of the singular integral equation of the second kind of Fox. Some new solutions to Fox’s integral equation are discussed in relation to number theory.
We consider some applications of the singular integral equation of the second kind of Fox. Some new solutions to Fox’s integral equation are discussed in relation to number theory.
DOI : 10.5817/AM2019-3-195
Classification : 11L20, 42A38
Keywords: Fourier integrals; Fox’s integral equation; Riemann prime counting function 
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Patkowski, Alexander E. On instances of Fox’s integral equation connection to the Riemann zeta function. Archivum mathematicum, Tome 55 (2019) no. 3, pp. 195-201. doi: 10.5817/AM2019-3-195

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[2] Fox, C.: Applications of Mellin’s transformations to integral equations. Proc. Roy. Soc. London 39 (1933), 495–502. | MR

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[6] Titchmarsh, E.C.: The theory of the Riemann zeta function. 2nd ed., Oxford University Press, 1986. | MR

[7] Zemyan, S.M.: The Classical Theory of Integral equations: A Concise Treatment. Birkhäuser, Boston, 2012. | MR

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