Circle and divisor problems, and double series of Bessel functions
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Publication:1944320
DOI10.1016/j.aim.2012.11.017zbMath1326.11059OpenAlexW2001949621MaRDI QIDQ1944320
Publication date: 5 April 2013
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2012.11.017
Estimates on exponential sums (11L07) Lattice points in specified regions (11P21) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (12)
Sums of divisors functions and Bessel function series ⋮ New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan ⋮ The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved ⋮ Logarithmic means and double series of Bessel functions ⋮ Weighted divisor sums and Bessel function series. IV ⋮ Ω-results for the hyperbolic lattice point problem ⋮ Identities for trigonometric divisor sums ⋮ Identities for Logarithmic Means: A Survey ⋮ The final problem: an identity from Ramanujan's lost notebook ⋮ Balanced derivatives, identities, and bounds for trigonometric and Bessel series ⋮ Weighted divisor sums and Bessel function series. V. ⋮ On a theorem of A. I. Popov on sums of squares
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