Asymptotic Formula for the Moments of Minkowski Question Mark Function in the Interval [0, 1]
نویسنده
چکیده
In this paper we prove the asymptotic formula for the moments of Minkowski question mark function in the interval [0, 1]. The main idea is to demonstrate that certain variation of Laplace method (a forerunner of saddle-point approximation) is applicable in this problem, hence the task reduces to a number of technical calculations. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD United Kingdom [email protected]
منابع مشابه
Generating and Zeta Functions, Structure, Spectral and Analytic Properties of the Moments of Minkowski Question Mark Function
In this paper we are interested in moments of Minkowski question mark function ?(x). It appears that, to certain extent, the results are analogous to the results obtained for objects associated with Maass wave forms: period functions, L-series, distributions, spectral properties. These objects can be naturally defined for ?(x) as well. Various previous investigations of ?(x) are mainly motivate...
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