BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:V. I. Kuzovatov (Siberian Federal University\, Krasnoyarsk\, Russi
 a)
DTSTART:20260924T110000Z
DTEND:20260924T120000Z
DTSTAMP:20261006T031939Z
UID:mmandim/115
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/115/
 ">Integral representation of the associated zeta-function and its applicat
 ions</a>\nby V. I. Kuzovatov (Siberian Federal University\, Krasnoyarsk\, 
 Russia) as part of Mathematical models and integration methods\n\n\nAbstra
 ct\nAn associated zeta-function constructed from the zeros of an entire fu
 nction of order less than one is considered. An integral representation fo
 r this zeta-function is obtained\, providing its analytic continuation. Th
 is integral representation is analogous to the integral representation for
  the classical Riemann zeta-function. As an application of the main result
 \, an explicit integral representation is derived for a zeta-function  con
 structed from the zeros of an entire function of order less than one\, whe
 re all zeros are real and negative. A specific integral representation for
  the Riemann zeta-function is obtained as a corollary. It is shown how thi
 s representation can be used to derive the functional equation for the Rie
 mann zeta-function.\n
LOCATION:https://researchseminars.org/talk/mmandim/115/
END:VEVENT
END:VCALENDAR