On the circle problem with polynomial weight
Gerald Kuba (1999)
Mathematica Slovaca
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Displaying similar documents to “On the circle problem with general weight”
On the circle problem with polynomial weight
The two parameter ellipse problem
Gerald Kuba (1994)
Mathematica Slovaca
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Three two-dimensional Weyl steps in the circle problem II. The logarithmic Riesz mean for a class of arithmetic functions
Ulrike M. A. Vorhauer (1999)
Acta Arithmetica
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1. Summary. In Part II we study arithmetic functions whose Dirichlet series satisfy a rather general type of functional equation. For the logarithmic Riesz mean of these functions we give a representation involving finite trigonometric sums. An essential tool here is the saddle point method. Estimation of the exponential sums in the special case of the circle problem will be the topic of Part III.
Lattice points in a sphere
M. Bleicher, M. Knopp (1965)
Acta Arithmetica
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Padua and Pisa are exponentially far apart.
Benjamin M. M. De Weger (1997)
Publicacions Matemàtiques
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We answer the question posed by Ian Stewart which Padovan numbers are at the same time Fibonacci numbers. We give a result on the difference between Padovan and Fibonacci numbers, and on the growth of Padovan numbers with negative indices.