𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bounds for Certain Harmonic Sums

✍ Scribed by B.J. English; G. Rousseau

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
161 KB
Volume
206
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

The monotonicity properties of the function y1 y1 y1

⌽ n s pn q r q 1 q pn q r q 2 q иии q qn q s Ž . Ž . Ž . Ž .

are determined, where p, q, r, and s are fixed integers such that 0pq and 0 F p q rq q s. The results extend earlier results of Adamovic and Taskovic Β΄Ε½ . Ε½ . 1969 and Simic 1979 for the cases r s s s 0 and r s 0, s s 1. We settle

πŸ“œ SIMILAR VOLUMES

Bounds for certain integrals
Bounds for certain integrals
✍ K.O. Bowman; H.K. Lam; L.R. Shenton πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 344 KB
Bounds for Incomplete Hyper-Kloosterman
Bounds for Incomplete Hyper-Kloosterman Sums
✍ Wenzhi Luo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 88 KB

A new upper bound is obtained for the incomplete hyper-Kloosterman sum by means of Burgess' estimate, provided the number of variables in the sum is sufficiently large. ## 1999 Academic Press In connection with the problem of expressing integers by a positive definite integral quadratic form in fo