Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords: equations over finite fields; Gauss sums; Jacobi sums; Diophantine equations.
UDC: 511.52; 511.53; 512.624; 512.624.3
MSC: 11D41, 11D61; 11D72, 11D79; 11G25; 11L05; 11T23; 11T24; 11A63; 05A05; 00A08; 97A20

Subject:

Number Theory

Main publications:

1. I. N. Baoulina, A. Bishnoi, P. L. Clark, “A generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions”, Proc. Amer. Math. Soc., 147:10 (2019), 4107–4122 , arXiv: 1709.05699          
2. I. N. Baoulina, “Integer ratios of consecutive alternating power sums”, Amer. Math. Monthly, 126:7 (2019), 651–654 , arXiv: 1809.03365          
3. I. N. Baoulina, “On period polynomials of degree $2^m$ and weight distributions of certain irreducible cyclic codes”, Finite Fields Appl., 50 (2018), 319–337 , arXiv: 1703.09204            
4. I. N. Baoulina, “On a class of diagonal equations over finite fields”, Finite Fields Appl., 40 (2016), 201–223 , arXiv: 1602.01807            
5. I. N. Baoulina, P. Moree, “Forbidden integer ratios of consecutive power sums”, From Arithmetic to Zeta-Functions: Number Theory in Memory of Wolfgang Schwarz, eds. J. Sander, J. Steuding, R. Steuding, Springer International Publishing, 2016, 1–30 https://arxiv.org/abs/1510.06064      

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Moscow State Pedagogical University