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We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
Linear Differential Equations with Fuzzy Boundary Values
fuzzy boundary value problem fuzzy set linear transformation
2011/7/21
Abstract: In this study, we consider a linear differential equation with fuzzy boundary values. We express the solution of the problem in terms of a fuzzy set of crisp real functions. Each real functi...
Numerical values of the growth rates of power-free languages
Numerical values growth rates power-free languages
2010/9/1
We present upper and two-sided bounds of the exponential growth rate for a wide range of power-free languages. All bounds are obtained with the use of algorithms previously developed by the author.
Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-values
Special values of L-functions pullbacks of Eisenstein series
2010/9/1
In this paper we obtain a weighted average formula for special values of L-functions attached to normalized elliptic modular forms of weight k and full level. These results are obtained by studying th...