Titlebook: Analytic Number Theory; Chaohua Jia,Kohji Matsumoto Book 2002 Springer Science+Business Media Dordrecht 2002 Arithmetic.Diophantine approx

jungle

On a Twisted Power Mean of ,(1, ,),The .-th power moment of .(1, .) over the odd characters modulo . (a prime number) twisted by the argument of the Gaussian sum is estimated.

不法行为

躲债

,Padé Approximation to the Logarithmic Derivative of the Gauss Hypergeometric Function,We construct explicitly (., .−1)-Padé approximation to the logarithmic derivative of Gauss hypergeometric function for arbitrary parameters by the simple combinatorial method used by Maier and Chudnovsky.

GUISE

GUMP

,On Inhomogeneous Diophantine Approximation and the Borweins’ Algorithm, II,We obtain the values..(.) = liminf. |.| ||.|| by using the algorithm by Borwein and Borwein. Some new results for ..(. ≥ 1) are evaluated..1991 Mathematics Subject Classification: 11J20, 11J80.

漫步

,A Note on a Certain Average of ,(1/2 +,, χ),We consider an average of the character sum .(χ; 0, N)=∑. . (.)(Proposition), and making use of this result, we obtain some average-type results on the .-estimate of .(1/2 +., χ).

acclimate

On the Values of Certain ,-Hypergeometric Series II,c series .,(.) with a rational or an imaginary quadratic integer . with |.| > 1, which is related to a .-analogue of the Bessel function ..(.). The main result determines the pairs (.) with . ∈ . for which .(.) belongs to ., where . is an imaginary quadratic number field including ..

acrimony

食料

材料等