ROOK THEORY, COMPOSITIONS, AND ZETA-FUNCTIONS

Authors
HAGLUND J
Citation
J. Haglund, ROOK THEORY, COMPOSITIONS, AND ZETA-FUNCTIONS, Transactions of the American Mathematical Society, 348(9), 1996, pp. 3799-3825
Citations number
26
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
9
Year of publication
1996
Pages
3799 - 3825
Database
ISI
SICI code
0002-9947(1996)348:9<3799:RTCAZ>2.0.ZU;2-B
Abstract
A new family of Dirichlet series having interesting combinatorial prop erties is introduced. Although they have no functional equation or Eul er product, under the Riemann Hypothesis it is shown that these functi ons have no zeros in Re(s) > 1/2. Some identities in the ring of forma l power series involving rook theory and continued fractions are devel oped.