ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII
نویسندگان
چکیده
Abstract Fujii obtained a formula for the average number of Goldbach representations with lower-order terms expressed as sum over zeros Riemann zeta function and smaller error term. This assumed Hypothesis. We obtain an unconditional version this result applications conditional on various conjectures function.
منابع مشابه
an investigation on influencing factors on tourists shopping attitude of iranian handmade carpet in isfahan
چکیده ندارد.
15 صفحه اولAverage prime-pair counting formula
Taking r > 0, let π2r(x) denote the number of prime pairs (p, p+ 2r) with p ≤ x. The prime-pair conjecture of Hardy and Littlewood (1923) asserts that π2r(x) ∼ 2C2r li2(x) with an explicit constant C2r > 0. There seems to be no good conjecture for the remainders ω2r(x) = π2r(x)−2C2r li2(x) that corresponds to Riemann’s formula for π(x)− li(x). However, there is a heuristic approximate formula f...
متن کاملan investigation of the impact of self monitoring on langauge teachers motivational practice and its effect on learners motivation
the central purpose of this study was to conduct a case study about the role of self monitoring in teacher’s use of motivational strategies. furthermore it focused on how these strategies affected students’ motivational behavior. although many studies have been done to investigate teachers’ motivational strategies use (cheng & d?rnyei, 2007; d?rnyei & csizer, 1998; green, 2001, guilloteaux & d?...
On Randomness of Goldbach Sequences
We consider the use of Goldbach numbers as random sequences. The randomness is analyzed in terms of the autocorrelation function of the sequence of number of partitions. The distinct representations of an even number n as the sum of two primes is a local maximum for multiples of the product of the consecutive smallest primes less than the number. Specific partitions, which we call Goldbach elli...
متن کاملA representation formula for maps on supermanifolds
The theory of supermanifolds, first proposed by Salam and Strathdee [15] as a geometrical framework for understanding the supersymmetry, is now well understood mathematically and can be formulated in roughly two different ways: either by defining a notion of superdifferential structure with ”supernumbers” which generalizes the differential structure of R and by gluing together these local model...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2023
ISSN: ['0027-7630', '2152-6842']
DOI: https://doi.org/10.1017/nmj.2022.44