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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics

Keldysh Institute preprints, 2012, 027, 17 pp. (Mi ipmp45)

On the classical Riemann zeta-function
L. D. Pustyl’nikov

References

1. L.D. Pustyl'nikov, “New results in the theory of the classical Riemann zeta-function”, Traces in Number Theory, Geometry and Quantum Fields, eds. Sergio Albeverio, Matilde Marcolli, Sylvie Paycha, Jorge Plazas, Friedr. Vieweg and Sohn Verlag\textbackslash GWV Fachverlage GmBH, Wiesbaden, 2008, 187–193  mathscinet
2. L.D. Pustylnikov, “Ob odnom svoistve klassicheskoi dzeta-funktsii, svyazannom s gipotezoi Rimana”, UMN, 54:1 (1999), 260–261  mathnet  crossref  mathscinet
3. L.D. Pustylnikov, “Ob asimptoticheskom povedenii koeffitsientov ryada Teilora funktsii $\xi(s)$”, UMN, 55:2 (2000), 349–350  mathnet  crossref  mathscinet
4. L.D. Pustylnikov, “Asimptoticheskaya formula dlya koeffitsientov Teilora funktsii $\xi(s)$”, Izvestiya RAN: ser. matematika, 65:1 (2001), 93–106  mathnet  crossref  mathscinet  adsnasa
5. L.D. Pustylnikov, “Oproverzhenie analoga gipotezy Rimana o nulyakh dlya skol ugodno tochnoi approksimatsii dzeta-funktsii, udovletvoryayuschei tomu zhe funktsionalnomu uravneniyu”, UMN, 58:1 (2003), 175–176  mathnet  crossref  mathscinet
6. Paul M. Gauthier and Eduardo S. Zeron, “Small perturbations of the Riemann zeta function and their zeros”, Computational Methods and Function Theory, 4:1 (2004), 143–150  crossref  mathscinet  zmath
7. P.M. Gauthier and X. Xarles, Perturbations of $L$-functions with or without non-trivial zeros off the critical line, 26 Nov 2009 1–16, arXiv: 0911.5135v1 [math.CV]  mathscinet
8. M. Nies, “Universal approximations of the Riemann zeta function”, Comput. Methods Funct. Theory, 9:1 (2009), 145–159  crossref  mathscinet  zmath
9. Davide Schipani, Sufficient and equivalent criteria for the Riemann Hypothesis, 22 Oct 2010, 1–14, arXiv: 1003.2064v3 [math.NT]  mathscinet
10. Pedro Freitas, “A Li Criterion for Zero Free Half-Plane of Riemann's Zeta Functions”, Journal of the London Mathematical Society, 73:2, 399–414  mathscinet  zmath
11. L.D. Pustylnikov, “O svyazi gipotezy Rimana o nulyakh funktsii $\zeta(s)$ so spektrom operatora, deistvuyuschego v gilbertovom prostranstve”, UMN, 46:2 (1991), 227–228  mathnet  mathscinet
12. L.D. Pustylnikov, “O predstavlenii dzeta-funktsii Rimana v kriticheskoi polose s pomoschyu beskonechnogo proizvedeniya matrits vtorogo poryadka i ob odnoi dinamicheskoi sisteme”, UMN, 59:4 (2004), 796–797  mathnet  crossref  mathscinet
13. E.K. Titchmarsh, Teoriya dzeta-funktsii Rimana, IL, Moskva, 1953


© Steklov Math. Inst. of RAS, 2026