Results 21 to 30 of about 5,312,961 (166)

An algebraic description of screw dislocations in SC and BCC crystal lattices

Pacific Journal of Mathematics for Industry, 2018
We give an algebraic description of screw dislocations in a crystal, especially simple cubic (SC) and body centered cubic (BCC) crystals, using free abelian groups and fibering structures.
Hiroyasu Hamada, Shigeki Matsutani, Junichi Nakagawa, Osamu Saeki, Masaaki Uesaka   +4 more
doaj   +1 more source

A Generalization of Epstein’s Zeta Function [PDF]

Nagoya Mathematical Journal, 1971
Koecher defined in [3] the following zeta function associated with the matrixS(n)of a positive quadratic form and one complex variableρ(1)
openaire   +2 more sources

Some Convexity Properties of Dirichlet Series with Positive Terms [PDF]

, 2005
Some basic results for Dirichlet series ψ with positive terms via log-convexity properties are pointed out. Applications for Zeta, Lambda and Eta functions are considered.
Cerone, Pietro, Dragomir, Sever S
core   +6 more sources

ON THE EPSTEIN ZETA FUNCTION

Tamkang Journal of Mathematics, 1996
The Epstein zeta function $Z(s)$ is defined for Re$s > 1$ by \[Z(s)=\sum_{m,n=-\infty, (m, n)\neq (0, 0)}^\infty \frac{1}{(am^2−bnm+cn^2)^s}\] where $a$, $b$, $c$ are real numbers with $a>0$ and $b^2 - 4ac<0$. $Z(s)$ can be continued analytically to the whole complex plane except for a simple pole at $s =1$.
NAN-YUE ZHANG, KENNETH S. WILLIAMS
openaire   +2 more sources

Chimeric Antigen Receptor Signaling Domains Differentially Regulate Proliferation and Native T Cell Receptor Function in Virus-Specific T Cells

Frontiers in Medicine, 2018
The efficacy of T cells expressing chimeric antigen receptors (CARs) for solid tumors has been limited by insufficient CAR T cell expansion and persistence.
Bilal Omer, Bilal Omer, Paul A. Castillo, Haruko Tashiro, Thomas Shum, Mai T. A. Huynh, Mara Cardenas, Miyuki Tanaka, Andrew Lewis, Tim Sauer, Robin Parihar, Robin Parihar, Natalia Lapteva, Michael Schmueck-Henneresse, Malini Mukherjee, Stephen Gottschalk, Stephen Gottschalk, Stephen Gottschalk, Cliona M. Rooney, Cliona M. Rooney, Cliona M. Rooney, Cliona M. Rooney   +21 more
doaj   +1 more source

A joint discrete limit theorem for Epstein and Hurwitz zeta-functions

Mathematical Modelling and Analysis
In the paper, we obtain a joint limit theorem on weak convergence for probability measure defined by discrete shifts of the Epstein and Hurwitz zeta-functions. The limit measure is explicitly given.
Hany Gerges, Antanas Laurinčikas, Renata Macaitienė   +2 more
doaj   +1 more source

Functional equations for zeta functions of groups and rings [PDF]

, 2010
We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
core   +1 more source

A Minimum Problem for the Epstein Zeta-Function [PDF]

Proceedings of the Glasgow Mathematical Association, 1953
In some recent work by D. G. Kendall and the author † on the number of points of a lattice which lie in a random circle the mean value of the variance emerged as a constant multiple of the value of the Epstein zeta-functionZ(s)associated with the lattice, taken at the point s=.
openaire   +2 more sources

A Tapestry of Ideas with Ramanujan’s Formula Woven In

Axioms
Zeta-functions play a fundamental role in many fields where there is a norm or a means to measure distance. They are usually given in the forms of Dirichlet series (additive), and they sometimes possess the Euler product (multiplicative) when the domain ...
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Linear law for the logarithms of the Riemann periods at simple critical zeta zeros [PDF]

, 2006
Each simple zero 1/2 + iγn of the Riemann zeta function on the critical line with γn > 0 is a center for the flow s˙ = ξ(s) of the Riemann xi function with an associated period Tn. It is shown that, as γn →∞, log Tn ≥ π/4 γn + O(log γn).
Barnett, A. Ross, Broughan, Kevin A.
core   +1 more source