Chernyshev, V. L.; Hilberdink, T. W.; Minenkov, D. S.; Nazaikinskii, V. E. Restricted partitions: the polynomial case. (English. Russian original) Zbl 1520.11085 Funct. Anal. Appl. 56, No. 4, 299-309 (2022); translation from Funkts. Anal. Prilozh. 56, No 4, 80-92 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11B75 05C80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Funct. Anal. Appl. 56, No. 4, 299--309 (2022; Zbl 1520.11085); translation from Funkts. Anal. Prilozh. 56, No 4, 80--92 (2022) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. Asymptotic solutions of the Cauchy problem for the nonlinear shallow water equations in a basin with a gently sloping beach. (English) Zbl 1490.76035 Russ. J. Math. Phys. 29, No. 1, 28-36 (2022). MSC: 76B15 35Q35 35B40 76M45 35B27 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 29, No. 1, 28--36 (2022; Zbl 1490.76035) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. Representation of Bessel functions by the Maslov canonical operator. (English. Russian original) Zbl 1471.81033 Theor. Math. Phys. 208, No. 2, 1018-1037 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 196-217 (2021). MSC: 81Q20 81S08 33C10 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 208, No. 2, 1018--1037 (2021; Zbl 1471.81033); translation from Teor. Mat. Fiz. 208, No. 2, 196--217 (2021) Full Text: DOI
Chernyshev, V. L.; Minenkov, D. S.; Nazaikinskii, V. E. Typical shape of elements in an arithmetical semigroup with exponentially growing prime counting function and deviations from the Bose-Einstein distribution. (English) Zbl 1439.11260 Math. Notes 104, No. 6, 939-942 (2018). MSC: 11N45 11N80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Math. Notes 104, No. 6, 939--942 (2018; Zbl 1439.11260) Full Text: DOI
Minenkov, D. S.; Nazaikinskii, V. E.; Chernyshev, V. L. On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements. (English. Russian original) Zbl 1430.11136 Dokl. Math. 95, No. 3, 226-229 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 3, 277-280 (2017). MSC: 11N45 60F10 PDFBibTeX XMLCite \textit{D. S. Minenkov} et al., Dokl. Math. 95, No. 3, 226--229 (2017; Zbl 1430.11136); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 3, 277--280 (2017) Full Text: DOI
Minenkov, D. S.; Nazaikinskiĭ, V. E.; Chernyshev, V. L. On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators. (English. Russian original) Zbl 1366.11105 Funct. Anal. Appl. 50, No. 4, 291-307 (2016); translation from Funkts. Anal. Prilozh. 50, No. 4, 55-75 (2016). MSC: 11N45 11N80 PDFBibTeX XMLCite \textit{D. S. Minenkov} et al., Funct. Anal. Appl. 50, No. 4, 291--307 (2016; Zbl 1366.11105); translation from Funkts. Anal. Prilozh. 50, No. 4, 55--75 (2016) Full Text: DOI
Minenkov, D. S.; Nazaikinskiĭ, V. E. Remark on the inverse abstract prime number theorem. (English. Russian original) Zbl 1354.11062 Math. Notes 100, No. 4, 633-635 (2016); translation from Mat. Zametki 100, No. 4, 627-629 (2016). MSC: 11N37 11N80 PDFBibTeX XMLCite \textit{D. S. Minenkov} and \textit{V. E. Nazaikinskiĭ}, Math. Notes 100, No. 4, 633--635 (2016; Zbl 1354.11062); translation from Mat. Zametki 100, No. 4, 627--629 (2016) Full Text: DOI
Minenkov, D. S.; Nazaĭkinskiĭ, V. E.; Chernyshev, V. L. On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. (English. Russian original) Zbl 1357.11095 Dokl. Math. 93, No. 3, 326-328 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 618-621 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 11N80 11P70 11P82 11B75 81Q35 82C20 PDFBibTeX XMLCite \textit{D. S. Minenkov} et al., Dokl. Math. 93, No. 3, 326--328 (2016; Zbl 1357.11095); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 618--621 (2016) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E.; Tirozzi, B. Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottom. (English) Zbl 1329.35246 Agliari, Elena (ed.) et al., Theory and applications in mathematical physics. Conference in honor of B. Tirozzi’s 70th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4713-27-6/hbk; 978-981-4713-29-0/ebook). 29-47 (2016). MSC: 35Q35 76B15 76M45 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., in: Theory and applications in mathematical physics. Conference in honor of B. Tirozzi's 70th birthday. Hackensack, NJ: World Scientific. 29--47 (2016; Zbl 1329.35246) Full Text: DOI
Chernyshev, V. L.; Minenkov, D. S.; Nazaikinskii, V. E. Asymptotics of the counting function of \(k\)-th power-free elements in an arithmetic semigroup. arXiv:1604.03509 Preprint, arXiv:1604.03509 [math.NT] (2016). MSC: 11N80 60C05 82B30 BibTeX Cite \textit{V. L. Chernyshev} et al., ``Asymptotics of the counting function of $k$-th power-free elements in an arithmetic semigroup'', Preprint, arXiv:1604.03509 [math.NT] (2016) Full Text: arXiv OA License
Dobrokhotov, Sergey; Minenkov, Dmitrii; Nazaikinskii, Vladimir; Tirozzi, Brunello Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side. (English) Zbl 1263.35154 Karlovich, Yuri I. (ed.) et al., Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Dedicated to his 70th birthday. Basel: Birkhäuser (ISBN 978-3-0348-0536-0/hbk; 978-3-0348-0537-7/ebook). Operator Theory: Advances and Applications 228, 95-125 (2013). MSC: 35L15 35L05 81Q20 35Q35 PDFBibTeX XMLCite \textit{S. Dobrokhotov} et al., Oper. Theory: Adv. Appl. 228, 95--125 (2013; Zbl 1263.35154) Full Text: DOI arXiv