Chernyshev, V. L.; Nazaikinskii, V. E.; Tsvetkova, A. V. Lattice equations and semiclassical asymptotics. (English) Zbl 1528.81142 Russ. J. Math. Phys. 30, No. 2, 152-164 (2023). MSC: 81Q20 58J37 81R30 14M17 05C05 81Q30 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Russ. J. Math. Phys. 30, No. 2, 152--164 (2023; Zbl 1528.81142) Full Text: DOI
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
Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E. Asymptotics of the number of restricted partitions. (English) Zbl 1469.11387 Russ. J. Math. Phys. 27, No. 4, 456-468 (2020). MSC: 11N45 11P81 05A17 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Russ. J. Math. Phys. 27, No. 4, 456--468 (2020; Zbl 1469.11387) 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.; 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
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