Beurling Zeta Functions, Generalised Primes, and Fractal Membranes

Author:

Hilberdink Titus W.,Lapidus Michel L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference44 articles.

1. Bateman, P.T., Diamond, H.G.: Asymptotic distribution of Beurling’s generalised prime numbers. In: Studies in Number Theory 6, pp. 152–212. Prentice-Hall, Englewood Cliffs, New Jersey (1969)

2. Bellisard, J.: Gap labelling theorems for Schrödinger operators. In: Waldschmidt, M. et al. (eds.) From Number Theory to Physics. Proceedings of Les Houches Meeting, France, March 1989, pp. 538–630. Springer, Berlin Heidelberg New York (1992)

3. Berndt, B.C.: Identities involving the coefficients of a class of Dirichlet series I. Trans. Amer. Math. Soc. 137, 345–359 (1969)

4. Beurling, A.: Analyse de la loi asymptotique de la distribution des nombres premiers généralisés, I. Acta Math. 68, 255–291 (1937)

5. Bochner, S.: Some properties of modular relations. Ann. of Math. 53(2), 332–363 (1951)

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