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1
Content available remote

On the pure Jacobi sums

100%
Akiyama S.
Acta Arithmetica
|
1996
|
tom 75
|
nr 2
97-104
2
Content available remote

Comments on the height reducing property

64%
Akiyama S., Zaimi T.
Open Mathematics
|
2013
|
tom 11
|
nr 9
1616-1627
EN
A complex number α is said to satisfy the height reducing property if there is a finite subset, say F, of the ring ℤ of the rational integers such that ℤ[α] = F[α]. This property has been considered by several authors, especially in contexts related to self affine tilings and expansions of real numbers in non-integer bases. We prove that a number satisfying the height reducing property, is an algebraic number whose conjugates, over the field of the rationals, are all of modulus one, or all of modulus greater than one. Expecting the converse of the last statement is true, we show some theoretical and experimental results, which support this conjecture.
3
Content available remote

New criteria for canonical number systems

64%
Akiyama S., Rao H.
Acta Arithmetica
|
2004
|
tom 111
|
nr 1
5-25
4
Content available remote

On the least common multiple of Lucas subsequences

64%
Akiyama S., Luca F.
Acta Arithmetica
|
2013
|
tom 161
|
nr 4
327-349
EN
We compare the growth of the least common multiple of the numbers $u_{a_1},...,u_{a_n}$ and $|u_{a_1} ⋯ u_{a_n}|$, where $(u_n)_{n≥0}$ is a Lucas sequence and $(a_n)_{n≥0}$ is some sequence of positive integers.
5
Content available remote

Analytic continuation of multiple zeta-functions and their values at non-positive integers

51%
Akiyama S., Egami S., Tanigawa Y.
Acta Arithmetica
|
2001
|
tom 98
|
nr 2
107-116
6
Content available remote

Generalized radix representations and dynamical systems II

51%
Akiyama S., Brunotte H., Pethő A., Thuswaldner J.
Acta Arithmetica
|
2006
|
tom 121
|
nr 1
21-61
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