Gunyavy O. The exponential sums and their application

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000364

Thesis Registration Form

0404U000364.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

05-01-2004

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

The result of Heath-Brown is transferred for the sum D(X,q,a). The sum L(c) is considered and the estimations for the sums S(a,b) are received. The result of E.Kratsel for quantity of squarefree numbers in a short interval is improved. The formula of summation generalizing the well known formulas is received. The formula of transformation of the usual exponential sum is specified and the formula for transformation of the exponential sum involving the divisor function is received. The result of Jutila for the sum involving the divisor function is improved

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