2 citations · 5 across the 5 of their papers we have counts for
8 papers
On the distribution of products of two primes
Sumaia Saad Eddin, Yuta Suzuki
For a real parameter , the RSA integers are integers which can be written as the product of two primes with , which are named after the importance of products o…
Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers
Daniel Duverney, Yuta Suzuki, Yohei Tachiya
The aim of this paper is to give linear independence results for the values of certain series. As an application, we derive arithmetical properties of the sums of reciprocals of Fi…
On error term estimates à la Walfisz for mean values of arithmetic functions
Yuta Suzuki
Walfisz (1963) proved the asymptotic formula \[ \sum_{n\le x}φ(n) = \frac{3}{π^2}x^2+O(x(\log x)^{\frac{2}{3}}(\log\log x)^{\frac{4}{3}}), \] which improved the error term estimate…
On the sum of a prime power and a power in short intervals
Yuta Suzuki
Let be the representation function for the sum of the -th power of a prime and the -th power of a positive integer. Languasco and Zaccagnini (2017) proved…
On amicable tuples
Yuta Suzuki
For an integer , a tuple of positive integers is called an amicable -tuple if the equation \[ σ(M_1)=\cdots=σ(M_k)=M_1+\cdots+M_k \] holds. This is…
Real zeros of Hurwitz zeta-functions and their asymptotic behavior in the interval
Kenta Endo, Yuta Suzuki
Let , and be the Hurwitz zeta-function. Recently, T.~Nakamura showed that does not vanish for any if and only if $1/2\leq a \leq…