Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory

Author:

Dixit Atul,Roy Arindam

Funder

Science and Engineering Research Board

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

Reference45 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, 9th edn. Dover publications, New York (1970)

2. Berndt, B.C.: Identities involving the coefficients of a class of Dirichlet series, III. Trans. Am. Math. Soc. 146, 323–348 (1969)

3. Berndt, B.C., Chan, O.-Y., Lim, S.-G., Zaharescu, A.: Questionable claims found in Ramanujan’s lost notebook, in tapas in experimental mathematics. In: Amdeberhan, T., Moll, V.H. (eds.) Contemporary Mathematics, vol. 457, pp. 69–98. American Mathematical Society, Providence (2008)

4. Berndt, B.C., Dixit, A., Kim, S., Zaharescu, A.: Sums of squares and products of Bessel functions. Adv. Math. 338, 305–338 (2018)

5. Berndt, B.C., Dixit, A., Roy, A., Zaharescu, A.: New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Adv. Math. 304, 809–929 (2017)

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