We deduce a version modulo an integer of the original Hypothesis, and as special cases, the Goldbach conjecture and the Twin Primes conjecture, again modulo an integer

The phasing of precession and obliquity appears to influence the persistence of interglacial conditions over one or two in- solation peaks: the longest interglacials are

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Nachr. Mertens, Ueber einige asymptotische Gesetze der Zahlentheorie, J. Montgomery, Fluctuations in the mean of Euler’s phi function, Proc. Titchmarsh, The theory of the

Merit factor, flat polynomials, ultraflat polynomials, Erd¨ os-Newman flatness problem, Littlewood flatness problem, digital transmission, Morse cocycle, Turyn-Golay’s

if the greedy representation for N is atually optimal? Kozen and Zaks [4℄ have shown that.. strongly suggests there is no eÆient algorithm for this problem.. 3. Supp ose we are given

One important technical ingredient to prove existence of cscK from geodesic stability is the following properness theorem, which says that if K-energy is “proper” with respect to

The main purpose of this paper is to study the asymptotic property of one class of number-theoretic functions and give a sharp hybrid mean-value formula by using the

First introduced by Faddeev and Kashaev [7, 9], the quantum dilogarithm G b (x) and its variants S b (x) and g b (x) play a crucial role in the study of positive representations