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

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Pierpaolo Basile,Barbara McGillivraycongruence. As applications, we mention some generalizations of Morley’s congruence and Jacobstahl’s Theorem to modulo arbitary positive integers. The details of the proof will partly appear in Acta Arithmetica.

Kinetic

Alja? Osojnik,Pan?e Panov,Sa?o D?eroskis that . for an irrational number . of finite type .. We show further that if . is an irrational number of constant type, then the discrepancy of the sequence . We extend the results much more by van der Corput’s inequality.

irreducible

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Pawel Matuszyk,Myra Spiliopoulou....1, .. ≥ 0, and the minimal polynomial of . is given by .. ? .... ? ... ? ... ? 1. From the substitution associated with the Pisot number ., a domain with a fractal boundary, called atomic surface, is constructed. The essential point of the proof is to define a natural extension of the .-transfor

Carminative

Sarah D’Ettorre,Herna L. Viktor,Eric Paquet-functions in question are the most general E. Landau’s type ones that satisfy the functional equations with multiple gamma factors..Instead of simply applying Landau’s colossal theorem to . .(.), we start from the functional equation satisfied by .(.) and raise it to the .-th power. This, together

Pamphlet

Kazuto Fukuchi,Quang Khai Tran,Jun Sakuma → 0. Our proof is based on the results on Barnes’ double zeta-functions given in the author’s former article [12]. We also prove asymptotic expansions of log Γ.Γ.(2.. ? 1, (.. ? 1, .)) , log ..(ε. ? 1, ..) and log ..(ε., ε., ε.), where .. is the fundamental unit of .% MathType!MTEF!2!1!+-% feaagCar

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Cumbersome

Cardiac