Abstracts of papers by Alessandro Zaccagnini
نویسنده
چکیده
s of papers by Alessandro Zaccagnini Alessandro Zaccagnini Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Scienze, 53/A, Campus Universitario 43124 Parma, Italy. [email protected] April 29, 2013 This file contains full references and abstracts of my papers. Chronologically, these deal with the following topics: • Large gaps between primes in arithmetic progressions [1]. • An additive problem of Hardy and Littlewood and its variants [2, 3, 4]. • The Selberg integral [5, 6]. • An elementary talk on Goldbach’s problem [7]. • An “inverse” problem related to the Selberg integral [8]. • Another additive problem of the Hardy–Littlewood type [9]. • An elementary talk on the continued fraction for √ 2 [10]. • An elementary talk on properties of prime numbers and their relations to cryptography [11]. • A review paper on the Selberg integral and related topics [12]. • An elementary paper that deals with various approximations to π [13]. • A paper on the Mertens product over primes in arithmetic progressions [14].
منابع مشابه
On the constant in the Mertens product for arithmetic progressions. II: Numerical values
We give explicit numerical values with 100 decimal digits for the constant in the Mertens product over primes in the arithmetic progressions amod q, for q ∈ {3, . . . , 100} and (a, q) = 1.
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It is well known that Huxley’s density estimates [5] for the zeros of the Riemann zeta-function yield J(x, h) = o(xh2(log x)−2), but only for h ≥ x1/6(log x) , for some C > 0. The weaker result with h ≥ x1/6+ε is proved in Saffari and Vaughan [8], Lemma 5, and in [13], where an identity of Heath-Brown (Lemma 1 of [3]) is used. This paper is inspired by Heath-Brown’s extension [4] of Huxley’s Th...
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