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SUMMARY:Neelam Kandhil (The Institute of Mathematical Sciences (IMSc)\, Ch
 ennai)
DTSTART:20230116T163000Z
DTEND:20230116T173000Z
DTSTAMP:20260423T021139Z
UID:NTC/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/16/">On 
 linear independence of Dirichlet L-values</a>\nby Neelam Kandhil (The Inst
 itute of Mathematical Sciences (IMSc)\, Chennai) as part of Lethbridge num
 ber theory and combinatorics seminar\n\n\nAbstract\nIt is an open question
  of Baker whether the Dirichlet L-values at 1 with fixed modulus are linea
 rly\nindependent over the rational numbers. The best-known result is due t
 o Baker\, Birch and Wirsing\, which affirms\nthis when the modulus of the 
 associated Dirichlet character is co-prime to its Euler's phi value. In th
 is talk\,\nwe will discuss an extension of this result to any arbitrary fa
 mily of moduli. The interplay between the\nresulting ambient number fields
  brings new technical issues and complications hitherto absent in the cont
 ext of\na fixed modulus. We will also investigate the linear independence 
 of such values at integers greater than 1.\n
LOCATION:https://researchseminars.org/talk/NTC/16/
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