18 citations · 41 across the 14 of their papers we have counts for
14 papers
Sum formulas for Schur multiple zeta values
Henrik Bachmann, Shin-ya Kadota, Yuta Suzuki +2
In this paper, we study sum formulas for Schur multiple zeta values and give a generalization of the sum formulas for multiple zeta(-star) values. We show that for ribbons of certa…
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…
Jordan totient quotients
Pieter Moree, Sumaia Saad Eddin, Alisa Sedunova +1
The Jordan totient can be defined by . In this paper, we study the average behavior of fractions of two products and of…
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…
Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions
Gautami Bhowmik, Karin Halupczok, Kohji Matsumoto +1
Assuming a conjecture on distinct zeros of Dirichlet L-functions we get asymptotic results on the average number of representations of an integer as the sum of two primes in arithm…
The Graph Ramsey Number
Shin-ya Kadota, Tomokazu Onozuka, Yuta Suzuki
For a given pair of two graphs , let be the smallest positive integer such that for any graph of order , either contains as a subgraph or the com…
On prime vs. prime power pairs
Yuta Suzuki
In this paper, we consider pairs of a prime and a prime power with a fixed difference. We prove an average result on the distribution of such pairs. This is a partial improvement o…
A remark on the conditional estimate for the sum of a prime and a square
Yuta Suzuki
Hardy and Littlewood conjectured that every sufficiently large integer is either a square or the sum of a prime and a square. Let be the number of positive integers up to $x…
A mean value of the representation function for the sum of two primes in arithmetic progressions
Yuta Suzuki
In this note, assuming a variant of the Generalized Riemann Hypothesis, which does not exclude the existence of real zeros, we prove an asymptotic formula for the mean value of the…
Cohomology formula for obstructions to asymptotic Chow semistability
Yuta Suzuki
Odaka and Wang proved the intersection formula for the Donaldson-Futaki invariant. In this paper, we generalize this result for the higher Futaki invariants which are obstructions…