Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Volume and entropy in abstract analytic number theory and thermodynamics. (English. Russian original) Zbl 1362.82025 Math. Notes 100, No. 6, 828-834 (2016); translation from Mat. Zametki 100, No. 6, 855-867 (2016). MSC: 82B30 82D05 11N80 PDFBibTeX XMLCite \textit{V. P. Maslov} et al., Math. Notes 100, No. 6, 828--834 (2016; Zbl 1362.82025); translation from Mat. Zametki 100, No. 6, 855--867 (2016) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. (English) Zbl 1357.82068 Math. Notes 100, No. 3, 421-428 (2016). MSC: 82D05 11N80 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 3, 421--428 (2016; Zbl 1357.82068) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. (English) Zbl 1357.82067 Math. Notes 100, No. 2, 245-255 (2016). MSC: 82D05 11N05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 2, 245--255 (2016; Zbl 1357.82067) 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
Maslov, V. P.; Nazaikinskii, V. E. Disinformation theory for bosonic computational media. (English) Zbl 1349.82022 Math. Notes 99, No. 6, 895-900 (2016). MSC: 82B30 81P45 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 6, 895--900 (2016; Zbl 1349.82022) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the rate of convergence to the Bose-Einstein distribution. (English) Zbl 1338.82051 Math. Notes 99, No. 1, 95-109 (2016). MSC: 82D05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 1, 95--109 (2016; Zbl 1338.82051) 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
Nazaikinskii, V. E. On the entropy of a Bose-Maslov gas. (English. Russian original) Zbl 1269.82061 Dokl. Math. 87, No. 1, 50-52 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 3, 266-268 (2013). MSC: 82D05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Dokl. Math. 87, No. 1, 50--52 (2013; Zbl 1269.82061); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 3, 266--268 (2013) Full Text: DOI
Nazaikinskii, V. E. On the asymptotics of the number of states for the Bose-Maslov gas. (English) Zbl 1285.82048 Math. Notes 91, No. 6, 816-823 (2012). MSC: 82D05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 91, No. 6, 816--823 (2012; Zbl 1285.82048) Full Text: DOI
Katsnelson, M. I.; Nazaikinskii, V. E. The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. (English. Russian original) Zbl 1282.82064 Theor. Math. Phys. 172, No. 3, 1263-1277 (2012); translation from Teor. Mat. Fiz. 172, No. 3, 437-453 (2012). MSC: 82D80 81Q05 37B30 PDFBibTeX XMLCite \textit{M. I. Katsnelson} and \textit{V. E. Nazaikinskii}, Theor. Math. Phys. 172, No. 3, 1263--1277 (2012; Zbl 1282.82064); translation from Teor. Mat. Fiz. 172, No. 3, 437--453 (2012) Full Text: DOI arXiv Link
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. III. (English. Russian original) Zbl 1202.82006 Math. Notes 83, No. 6, 804-820 (2008); translation from Mat. Zametki 83, No. 6, 880-898 (2008). MSC: 82B05 60E05 60K35 62P35 82C05 82C21 44A15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 6, 804--820 (2008; Zbl 1202.82006); translation from Mat. Zametki 83, No. 6, 880--898 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by two linear inequalities. I. (English. Russian original) Zbl 1154.60076 Math. Notes 83, No. 4, 512-529 (2008); translation from Mat. Zametki 83, No. 4, 559-580 (2008). MSC: 60F15 82-02 60K35 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 4, 512--529 (2008; Zbl 1154.60076); translation from Mat. Zametki 83, No. 4, 559--580 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. II. (English. Russian original) Zbl 1153.82001 Math. Notes 83, No. 3, 345-363 (2008); translation from Mat. Zametki 83, No. 3, 381-401 (2008). MSC: 82B05 60E05 82B26 82B10 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 3, 345--363 (2008; Zbl 1153.82001); translation from Mat. Zametki 83, No. 3, 381--401 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. I. (English) Zbl 1150.82017 Math. Notes 83, No. 2, 211-237 (2008); translation from Mat. Zametki 83, No. 2, 232-263 (2008). MSC: 82B05 60K35 62P35 81P20 82C05 82C41 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 2, 211--237 (2008; Zbl 1150.82017); translation from Mat. Zametki 83, No. 2, 232--263 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the Bose-Einstein distribution and Bose condensation. arXiv:0812.4885 Preprint, arXiv:0812.4885 [math.PR] (2008). MSC: 60C05 82B30 BibTeX Cite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, ``On the Bose-Einstein distribution and Bose condensation'', Preprint, arXiv:0812.4885 [math.PR] (2008) Full Text: arXiv OA License
Maslov, V. P.; Nazaikinskii, V. E. Application of the canonical operator in thermodynamics. (English. Russian original) Zbl 1203.80002 Dokl. Math. 74, No. 3, 791-794 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 12-15 (2006). MSC: 80A05 80A17 82B30 82B35 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Dokl. Math. 74, No. 3, 791--794 (2006; Zbl 1203.80002); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 12--15 (2006) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Tunnel canonical operator in thermodynamics. (English. Russian original) Zbl 1118.82040 Funct. Anal. Appl. 40, No. 3, 173-187 (2006); translation from Funkts. Anal. Prilozh. 40, No. 3, 12-29 (2005). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C35 80A10 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Funct. Anal. Appl. 40, No. 3, 173--187 (2006; Zbl 1118.82040); translation from Funkts. Anal. Prilozh. 40, No. 3, 12--29 (2005) Full Text: DOI