Quartic power series in $

Partial Sums of Two Quartic q-Series

X iv :0 90 4. 34 53 v1 [ m at h. C A ] 2 2 A pr 2 00 9 Symmetry, Integrability and Geometry: Methods and Applications SIGMA 5 (2009), 050, 19 pages Partial Sums of Two Quartic q-Series Wenchang CHU † and Chenying WANG ‡ † Dipartimento di Matematica, Università degli Studi di Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy E-mail: [email protected] ‡ College of Mathematics and Phys...

emittance control in high power linacs

چکیده این پایان نامه به بررسی اثر سیم پیچ مغناطیسی و کاوه یِ خوشه گر با بسامد رادیویی بر هاله و بیرونگراییِ باریکه هایِ پیوسته و خوشه ایِ ذرات باردار در شتابدهنده های خطیِ یونی، پروتونی با جریان بالا می پردازد و راه حل هایی برای بهینه نگهداشتن این کمیتها ارایه می دهد. بیرونگرایی یکی از کمیتهای اساسی باریکه هایِ ذرات باردار در شتابدهنده ها است که تاثیر قابل توجهی بر قیمت، هزینه و کاراییِ هر شتابدهند...

Power Integral Bases in the Family of Simplest Quartic Fields

Dirichlet Series Associated to Quartic Fields with given Resolvent

Let k be a cubic field. We give an explicit formula for the Dirichlet series P K |Disc(K)| −s, where the sum is over isomorphism classes of all quartic fields whose cubic resolvent field is isomorphic to k. Our work is a sequel to the unpublished preprint [11] whose results have been summarized in [6], so we include complete proofs so as not to rely on unpublished work. This is a companion pape...

Dirichlet series associated to quartic fields with given cubic resolvent

Let k be a cubic field. We give an explicit formula for the Dirichlet series ∑ K |Disc(K)|−s, where the sum is over isomorphism classes of all quartic fields whose cubic resolvent field is isomorphic to k. Our work is a sequel to the unpublished preprint [12] whose results have been summarized in [7], so we include complete proofs so as not to rely on unpublished work. This is a companion paper...