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SUMMARY:Arpit Bansal (Jawaharlal Nehru University)
DTSTART:20210201T173000Z
DTEND:20210201T180000Z
DTSTAMP:20260423T021221Z
UID:POINT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/23/">L
 arge sieve with square moduli for Z[i].</a>\nby Arpit Bansal (Jawaharlal N
 ehru University) as part of POINT: New Developments in Number Theory\n\n\n
 Abstract\nThe large sieve inequality is of fundamental importance in analy
 tic number theory. Its theory started with Linnik’s investigation of the
  least quadratic non-residue modulo primes on average. These days\, there 
 is a whole zoo of large sieve inequalities in all kind of contexts (for nu
 mber fields\, function fields\, automorphic forms\, etc.). The large sieve
  with restricted sets of moduli $q \\in \\mathbb{Z}$\, in particular with 
 square moduli\, were investigated by L. Zhao and S. Baier. Moreover\, the 
 large sieve with square moduli has found many applications\, in particular
 \, in questions regarding elliptic curves. The large sieve for additive ch
 aracters was extended to number fields by Huxley. In my talk\, I will give
  a summary of the classical large sieve with square moduli and present new
  extenstions to number field $\\mathbb{Q}[i]$ which have recently been est
 ablished in joint work with Stephan Baier.\n
LOCATION:https://researchseminars.org/talk/POINT/23/
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