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XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 14, 2019 10:40–11:25, Tula, TSPU of Leo Tolstoy
 


On a solvability of some congruences with reciprocals in prime numbers

M. A. Korolevab

a Steklov Mathematical Institute of Russian Academy of Sciences
b Lomonosov Moscow State University
Supplementary materials:
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Supplementary materials: abstract.pdf (562.0 Kb)

References
  1. E. Fouvry, P. Michel, “Sur certaines sommes d'exponentielles sur les nombres premiers”, Ann. scient. Éc. Norm. Sup., 31:1 (1998), 93–130
  2. M. Z. Garaev, “Otsenka summ Kloostermana s prostymi chislami i primenenie”, Matem. zametki., 88:3 (2010), 41–64
  3. J. Bourgain, “More on the sum -product phenomenon in prime fields and its applications”, Int. J. Number Theory., 1:1 (2005), 1–32
  4. E. Fouvry, I. E. Shparlinski, “On a ternary quadratic form over primes”, Acta Arithmetica., 150:3 (2011), 285–314
  5. R. C. Baker, “Kloosterman sum with prime variable”, Acta Arith., 156:4 (2012), 351–372
  6. Zh. Burgein, M. Z. Garaev, “Summa mnozhestv, obrazovannykh obratnymi elementami v polyakh prostogo poryadka, i polilineinye summy Kloostermana”, Izv. RAN. Ser. matem., 78:4 (2014), 19–72
 
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