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The Moments of the Sum-Of-Digits Function in Number Fields
Canadian Mathematical Bulletin, 1999AbstractWe consider the asymptotic behavior of the moments of the sum-of-digits function of canonical number systems in number fields. Using Delange’s method we obtain the main term and smaller order terms which contain periodic fluctuations.
Gittenberger, Bernhard +1 more
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On zeta-functions of algebraic number fields
1968Let \(\lambda_1, \lambda_2\) be unramified Hecke characters of fields \(k_1,k_2\) respectively. Suppose that \((k_1k_2:Q) = (k_1:Q)(k_2:Q)\). Denote by \(\zeta_{k_1k_2}(s;\lambda_1, \lambda_2)\) the scalar product of Hecke \(\zeta\)-functions \(\zeta_{k_1}(s;\lambda_1)\) and \(\zeta_{k_2}(s; \lambda_2)\) [cf. \textit{A. I. Vinogradov}, Izv. Akad.
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Asymptotic Behavior of a Nonparametric Estimator of the Renewal Function for Random Fields
Mathematics, 2023Michel Harel
exaly
Analogies between number fields and function fields
2001Ichiro Satake +4 more
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A Field Of Functions Isomorphic To The Field Of Real Numbers
The European Proceedings of Social and Behavioural Sciences, 2019openaire +1 more source
On automorphism groups of cyclotomic function fields over finite fields
Journal of Number Theory, 2016Liming Ma, Chaoping Xing
exaly
Probability distribution function of the order parameter: Mixing fields and universality
Computer Physics Communications, 2013P H L Martins
exaly
On a problem à la Kummer–Vandiver for function fields
Journal of Number Theory, 2013Bruno Angles, Lenny Taelman
exaly
Towards a characterization of subfields of the Deligne–Lusztig function fields
Journal of Combinatorial Theory - Series A, 2013Alp Bassa, Liming Ma, Chaoping Xing
exaly