𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the divisibility of -Salié numbers

✍ Scribed by Yong Zhang; Hao Pan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
256 KB
Volume
59
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

We confirm two conjectures of Guo and Zeng on q-Salié numbers.

📜 SIMILAR VOLUMES

A Note on the Divisibility of Class Numb
A Note on the Divisibility of Class Numbers of Real Quadratic Fields
✍ Gang Yu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

Suppose g > 2 is an odd integer. For real number X > 2, define S g ðX Þ the number of squarefree integers d4X with the class number of the real quadratic field Qð ffiffiffi d p Þ being divisible by g. By constructing the discriminants based on the work of Yamamoto, we prove that a lower bound S g ðX

Sets of Prime Numbers Satisfying a Divis
Sets of Prime Numbers Satisfying a Divisibility Condition
✍ Paul Erdős; Anthony B. Evans 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 270 KB

We study sets P of k primes that satisfy the condition gcd(> A&> B, > P)=1 whenever A and B are disjoint non-empty subsets of P. It is known that such sets of primes exist for all positive integers k. It is of interest to know the asymptotic behavior of n k , the smallest natural number that is the

Divisibility by 2-Powers of Certain Quad
Divisibility by 2-Powers of Certain Quadratic Class Numbers
✍ P. Stevenhagen 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 726 KB

We study the divisibility of the strict class numbers of the quadratic fields of discriminant \(8 p,-8 p\), and \(-4 p\) by powers of 2 for \(p \equiv 1 \bmod 4\) a prime number. Various criteria for divisibility by 8 are discussed, and an analogue of the relation \(8\left|h_{x_{p}} \Leftrightarrow