A Nonlinear Additive Problem with Prime Numbers of a Special Form
- 14 Downloads
We solve a nonlinear additive problem in prime and natural numbers whose binary expansion is of a special form.
Keywordsnonlinear additive problem with prime numbers estimate of a nonlinear trigonometric sum over prime numbers of a special form
Unable to display preview. Download preview PDF.
- 4.B. Green, “Three topics in additive prime theory,” in Current Developments in Mathematics, 2007 (Int. Press, Somerville, MA, 2009), pp. 1–41.Google Scholar
- 10.K. M. Éminyan, “On the representation of numbers with given properties of binary expansion by sums of two squares,” in Trudy Mat. Inst. Steklova, Vol. 207: Number theory and Analysis (Nauka, Moscow, 1994), pp. 377–382 [Proc. Steklov Inst. Math. 207, 347–351 (1995)].Google Scholar
- 12.K. M. Éminyan, “Waring’s problem in natural numbers with binary expansions of a special form,” Uchen. Zap. Orlov. Gos. Univ. No. 3(53), 112–117 (2013).Google Scholar
- 14.A. A. Karatsuba, Principles of Analytic Number Theory (Nauka, Moscow, 1983) [in Russian].Google Scholar
© Pleiades Publishing, Ltd. 2019