Malyshev, K. Yu.; Mikhailov, E. A.; Teplyakov, I. O. Rapidly convergent series for solving the electrovortex flow problem in a hemispherical vessel. (English. Russian original) Zbl 1504.35237 Comput. Math. Math. Phys. 62, No. 7, 1158-1170 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1187-1199 (2022). MSC: 35Q30 76D05 76W05 76D17 35D30 35B07 PDFBibTeX XMLCite \textit{K. Yu. Malyshev} et al., Comput. Math. Math. Phys. 62, No. 7, 1158--1170 (2022; Zbl 1504.35237); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1187--1199 (2022) Full Text: DOI
Kuriki, Satoshi; Takemura, Akimichi; Taylor, Jonathan E. The volume-of-tube method for Gaussian random fields with inhomogeneous variance. (English) Zbl 1493.62281 J. Multivariate Anal. 188, Article ID 104819, 23 p. (2022). MSC: 62H10 60G60 PDFBibTeX XMLCite \textit{S. Kuriki} et al., J. Multivariate Anal. 188, Article ID 104819, 23 p. (2022; Zbl 1493.62281) Full Text: DOI arXiv
Schindler, Damaris A variant of Weyl’s inequality for systems of forms and applications. (English) Zbl 1375.11035 Alaca, Ayşe (ed.) et al., Advances in the theory of numbers. Proceedings of the thirteenth conference of the Canadian Number Theory Association, CNTA, Ottawa, Canada, June 16–20, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3200-9/hbk; 978-1-4939-3201-6/ebook). Fields Institute Communications 77, 207-218 (2015). Reviewer: B. Z. Moroz (Bonn) MSC: 11D75 11D45 11D72 11P55 11L07 11D85 PDFBibTeX XMLCite \textit{D. Schindler}, Fields Inst. Commun. 77, 207--218 (2015; Zbl 1375.11035) Full Text: DOI arXiv
Wooley, Trevor D. Mean value estimates for odd cubic Weyl sums. (English) Zbl 1377.11090 Bull. Lond. Math. Soc. 47, No. 6, 946-957 (2015). MSC: 11L15 11L07 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Bull. Lond. Math. Soc. 47, No. 6, 946--957 (2015; Zbl 1377.11090) Full Text: DOI arXiv
Akhilesh, P.; Ramana, D. S. A chromatic version of Lagrange’s four squares theorem. (English) Zbl 1317.11099 Monatsh. Math. 176, No. 1, 17-29 (2015). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11E25 11P55 PDFBibTeX XMLCite \textit{P. Akhilesh} and \textit{D. S. Ramana}, Monatsh. Math. 176, No. 1, 17--29 (2015; Zbl 1317.11099) Full Text: DOI
Parsell, Scott T. A note on Weyl’s inequality for eighth powers. (English) Zbl 1328.11086 Rocky Mt. J. Math. 44, No. 1, 259-268 (2014). Reviewer: K.-M. Tsang (Hong Kong) MSC: 11L15 11P55 11L07 11D45 PDFBibTeX XMLCite \textit{S. T. Parsell}, Rocky Mt. J. Math. 44, No. 1, 259--268 (2014; Zbl 1328.11086) Full Text: DOI Euclid
Benedek, A.; Panzone, R. The distribution of the eigenvalues of the Dirichlet problem of the two-dimensional Sturm-Liouville differential operator. II. Some associated Dirichlet series. (La distribución de los autovalores del problema de Dirichlet del operador diferencial bidimensional de Sturm-Liouville. II. Algunas series de Dirichlet asociadas.) (Spanish) Zbl 1296.35002 Notas de Álgebra y Análisis 23. Bahia Blanca: Universidad Nacional del Sur, Instituto de Matemática. iv, 63 p. (2013). Reviewer: Jesús Hernández (Madrid) MSC: 35-02 35P20 35P15 35P10 35J25 35J05 PDFBibTeX XMLCite \textit{A. Benedek} and \textit{R. Panzone}, La distribución de los autovalores del problema de Dirichlet del operador diferencial bidimensional de Sturm-Liouville. II. Algunas series de Dirichlet asociadas (Spanish). Bahia Blanca: Universidad Nacional del Sur, Instituto de Matemática (2013; Zbl 1296.35002)
Wooley, Trevor D. Vinogradov’s mean value theorem via efficient congruencing. II. (English) Zbl 1312.11066 Duke Math. J. 162, No. 4, 673-730 (2013). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Duke Math. J. 162, No. 4, 673--730 (2013; Zbl 1312.11066) Full Text: DOI arXiv Euclid
Boulton, Lyonell; Boussaïd, Nabile; Lewin, Mathieu Generalized Weyl theorems and spectral pollution in the Galerkin method. (English) Zbl 1260.35086 J. Spectr. Theory 2, No. 4, 329-354 (2012). MSC: 35P15 47A10 65N25 PDFBibTeX XMLCite \textit{L. Boulton} et al., J. Spectr. Theory 2, No. 4, 329--354 (2012; Zbl 1260.35086) Full Text: DOI arXiv
Lezhnev, Viktor Grigor’evich; Markovskiĭ, Alekseĭ Nikolaevich Projective algorithm of boundary value problem for inhomogeneous Lame’s equation. (Russian. English summary) Zbl 1463.35230 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 1(22), 236-240 (2011). MSC: 35J25 PDFBibTeX XMLCite \textit{V. G. Lezhnev} and \textit{A. N. Markovskiĭ}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 1(22), 236--240 (2011; Zbl 1463.35230) Full Text: DOI MNR
Pandey, Rajni Kant; Verma, Amit K. Monotone method for singular BVP in the presence of upper and lower solutions. (English) Zbl 1190.34019 Appl. Math. Comput. 215, No. 11, 3860-3867 (2010). MSC: 34B16 34A45 PDFBibTeX XMLCite \textit{R. K. Pandey} and \textit{A. K. Verma}, Appl. Math. Comput. 215, No. 11, 3860--3867 (2010; Zbl 1190.34019) Full Text: DOI
Homma, Kosuke On the discrepancy of uniformly distributed roots of quadratic congruences. (English) Zbl 1195.11089 J. Number Theory 128, No. 3, 500-508 (2008). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11J54 11N36 11K06 11L07 PDFBibTeX XMLCite \textit{K. Homma}, J. Number Theory 128, No. 3, 500--508 (2008; Zbl 1195.11089) Full Text: DOI
Heath-Brown, D. R. Cubic forms in 14 variables. (English) Zbl 1135.11031 Invent. Math. 170, No. 1, 199-230 (2007). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11D25 11E72 11E76 11P55 14G25 11L15 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Invent. Math. 170, No. 1, 199--230 (2007; Zbl 1135.11031) Full Text: DOI
Wooley, Trevor D. Slim exceptional sets and the asymptotic formula in Waring’s problem. (English) Zbl 1045.11068 Math. Proc. Camb. Philos. Soc. 134, No. 2, 193-206 (2003). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Math. Proc. Camb. Philos. Soc. 134, No. 2, 193--206 (2003; Zbl 1045.11068) Full Text: DOI
Abu-Sitta, A. M. M. On solutions of a boundary layer equation. (English) Zbl 0802.34019 Appl. Math. Comput. 63, No. 1, 95-100 (1994). MSC: 34B15 76D10 34E15 PDFBibTeX XMLCite \textit{A. M. M. Abu-Sitta}, Appl. Math. Comput. 63, No. 1, 95--100 (1994; Zbl 0802.34019) Full Text: DOI
Djellit, Ali; Fleckinger-Pellé, Jacqueline Eigenvalues of indefinite elliptic boundary value problems. (Valeurs propres de problèmes aux limites elliptiques indéfinis.) (French) Zbl 0870.35072 Boll. Unione Mat. Ital., VII. Ser., B 7, No. 4, 857-874 (1993). Reviewer: J.Brüning (Berlin) MSC: 35P20 PDFBibTeX XMLCite \textit{A. Djellit} and \textit{J. Fleckinger-Pellé}, Boll. Unione Mat. Ital., VII. Ser., B 7, No. 4, 857--874 (1993; Zbl 0870.35072)
Bauer, Pia The Selberg trace formula for imaginary quadratic fields. (English) Zbl 0820.11039 Jap. J. Math., New Ser. 19, No. 1, 149-189 (1993). Reviewer: J.Elstrodt (Münster) MSC: 11F72 PDFBibTeX XMLCite \textit{P. Bauer}, Jpn. J. Math., New Ser. 19, No. 1, 149--189 (1993; Zbl 0820.11039)
Ren, Wei Exact solutions of coupled-wave equations in piezoelectric solids. (English) Zbl 0792.73068 J. Math. Phys. 34, No. 11, 5376-5390 (1993). Reviewer: M.C.Dökmeci (İstanbul) MSC: 74F15 35Q72 35Q60 PDFBibTeX XMLCite \textit{W. Ren}, J. Math. Phys. 34, No. 11, 5376--5390 (1993; Zbl 0792.73068) Full Text: DOI
Howe, Roger A century of Lie theory. (English) Zbl 0934.22001 Browder, Felix E. (ed.), Mathematics into the twenty-first century. Proceedings of the AMS centennial symposium, Providence, RI, USA, August 8-12, 1988. Providence, RI: American Mathematical Society. Am. Math. Soc. Centen. Publ. 2, 101-320 (1992). Reviewer: H.Boseck (Greifswald) MSC: 22-01 22E46 22-03 01A55 01A60 17B60 22E45 17B05 17B10 17B15 22E70 PDFBibTeX XMLCite \textit{R. Howe}, Am. Math. Soc. Centen. Publ. 2, 101--320 (1992; Zbl 0934.22001)
Heath-Brown, D. R. Weyl’s inequality and Hua’s inequality. (English) Zbl 0674.10039 Number theory, Proc. 15th Journ. Arith., Ulm/FRG 1987, Lect. Notes Math. 1380, 87-92 (1989). MSC: 11P05 11P55 11J71 11L03 PDFBibTeX XML
Baker, R. C. Diagonal cubic equations. III. (English) Zbl 0642.10042 Proc. Lond. Math. Soc., III. Ser. 58, No. 3, 495-518 (1989). Reviewer: R.C.Baker MSC: 11P05 11P55 11L40 11D25 PDFBibTeX XMLCite \textit{R. C. Baker}, Proc. Lond. Math. Soc. (3) 58, No. 3, 495--518 (1989; Zbl 0642.10042) Full Text: DOI
Baker, R. C. Diagonal cubic equations. II. (English) Zbl 0642.10041 Acta Arith. 53, No. 3, 217-250 (1989). Reviewer: R.C.Baker MSC: 11P05 11P55 11L40 11D25 PDFBibTeX XMLCite \textit{R. C. Baker}, Acta Arith. 53, No. 3, 217--250 (1989; Zbl 0642.10041) Full Text: DOI EuDML
Thanigasalam, K. On sums of positive integral powers and simple proof of \(G(6)\leq 31\). (English) Zbl 0641.10037 Bull. Calcutta Math. Soc. 81, No. 4, 279-294 (1989). Reviewer: K.Thanigasalam MSC: 11P05 11D85 11P55 PDFBibTeX XMLCite \textit{K. Thanigasalam}, Bull. Calcutta Math. Soc. 81, No. 4, 279--294 (1989; Zbl 0641.10037)
Naas, Josef; Tutschke, Wolfgang Große Sätze und schöne Beweise der Mathematik: Identität des Schönen, Allgemeinen, Anwendbaren. Lizenzausgabe. (German) Zbl 0675.00002 Deutsch-Taschenbücher, 63. Thun etc.: Harri Deutsch. 205 S. SFr. 14.80 (1989). Reviewer: J.Dieudonné MSC: 00A99 00A05 PDFBibTeX XMLCite \textit{J. Naas} and \textit{W. Tutschke}, Große Sätze und schöne Beweise der Mathematik: Identität des Schönen, Allgemeinen, Anwendbaren. Lizenzausgabe. Thun etc.: Harri Deutsch (1989; Zbl 0675.00002)
Brüdern, Jörg A problem in additive number theory. (English) Zbl 0655.10041 Math. Proc. Camb. Philos. Soc. 103, No. 1, 27-33 (1988). Reviewer: M.Dodson MSC: 11P05 11P55 11D85 PDFBibTeX XMLCite \textit{J. Brüdern}, Math. Proc. Camb. Philos. Soc. 103, No. 1, 27--33 (1988; Zbl 0655.10041) Full Text: DOI
Heath-Brown, D. R. Weyl’s inequality, Hua’s inequality and Waring’s problem. (English) Zbl 0619.10046 J. Lond. Math. Soc., II. Ser. 38, No. 2, 216-230 (1988). MSC: 11P05 11L40 11P55 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, J. Lond. Math. Soc., II. Ser. 38, No. 2, 216--230 (1988; Zbl 0619.10046) Full Text: DOI
Ivrij, V. Ya. The Weyl asymptotic formula for the Laplace-Beltrami operator in Riemannian polyhedra and in domains with conical boundary singularities. (English. Russian original) Zbl 0652.35091 Sov. Math., Dokl. 33, 596-599 (1986); translation from Dokl. Akad. Nauk SSSR 288, 35-38 (1986). Reviewer: G.Phillipin MSC: 35P20 35J05 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 33, 596--599 (1986; Zbl 0652.35091); translation from Dokl. Akad. Nauk SSSR 288, 35--38 (1986)
Zhizhiashvili, L. V. Almost everywhere Cesàro summability of negative order of multiple trigonometric Fourier series. (Russian. English summary) Zbl 0609.42014 Soobshch. Akad. Nauk Gruz. SSR 123, 465-467 (1986). MSC: 42B05 40G05 42A24 PDFBibTeX XMLCite \textit{L. V. Zhizhiashvili}, Soobshch. Akad. Nauk Gruz. SSR 123, 465--467 (1986; Zbl 0609.42014)
Thanigasalam, K. Improvement on Davenport’s iterative method and new results in additive number theory. I. (English) Zbl 0564.10049 Acta Arith. 46, 1-31 (1985). MSC: 11P05 11P55 11D85 11L40 11P32 PDFBibTeX XMLCite \textit{K. Thanigasalam}, Acta Arith. 46, 1--31 (1985; Zbl 0564.10049) Full Text: DOI EuDML
Schmidt, Wolfgang M. The density of integer points on homogeneous varieties. (English) Zbl 0561.10010 Acta Math. 154, 243-296 (1985). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11E76 11L07 11P55 11D72 PDFBibTeX XMLCite \textit{W. M. Schmidt}, Acta Math. 154, 243--296 (1985; Zbl 0561.10010) Full Text: DOI
Mohr, Ernst Gewöhnliche Eigenwertaufgaben zweiter Ordnung, bei denen der Parameter in einer Randbedingung auftritt. (German) Zbl 0567.34022 Ann. Mat. Pura Appl., IV. Ser. 138, 157-189 (1984). Reviewer: S.Cinquini MSC: 34L99 34B10 PDFBibTeX XMLCite \textit{E. Mohr}, Ann. Mat. Pura Appl. (4) 138, 157--189 (1984; Zbl 0567.34022) Full Text: DOI
Schmidt, Wolfgang M. The density of integer points on homogeneous varieties. (English) Zbl 0561.10011 Théorie des nombres, Sémin. Delange-Pisot-Poitou, Paris 1981/82, Prog. Math. 38, 283-286 (1983). MSC: 11E76 11P55 11L40 11D25 11D41 PDFBibTeX XML
Charbonnel, Anne-Marie Calcul fonctionnel à plusieurs variables pour des opérateurs pseudodifferentiels dans \(R^ n\). (French) Zbl 0528.35089 Isr. J. Math. 45, 69-89 (1983). MSC: 35S05 35P05 47A60 35P20 PDFBibTeX XMLCite \textit{A.-M. Charbonnel}, Isr. J. Math. 45, 69--89 (1983; Zbl 0528.35089) Full Text: DOI
Cook, R. J. Weyl’s inequality and simultaneous additive equations. (English) Zbl 0514.10011 Indian J. Pure Appl. Math. 14, 908-918 (1983). MSC: 11D72 11P55 11P05 PDFBibTeX XMLCite \textit{R. J. Cook}, Indian J. Pure Appl. Math. 14, 908--918 (1983; Zbl 0514.10011)
Najfeld, Igor Numerical analysis of Weyl’s method for integrating boundary layer equations. (English) Zbl 0512.65064 Computational and asymptotic methods for boundary and interior layers, Proc. BAIL II Conf., Dublin 1982, Boole Press Conf. Ser. 4, 330-335 (1982). MSC: 65L10 34B15 34B30 PDFBibTeX XML
Hua, Loo-keng Abschätzungen von Exponentialsummen und ihre Anwendung in der Zahlentheorie. 2. völlig neu bearb. Aufl. (German) Zbl 0083.03601 Enzyklopädie Math. Wiss. Band. I, 2. Teil, Heft 13, Art. 29. Leipzig: B. G. Teubner Verlag. 123 S. (1959). Reviewer: H. Ostmann MSC: 11L07 11-02 11N05 11N35 11P05 11P32 11J71 11D72 PDFBibTeX XML
van der Corput, J. G. Sur la méthode de Weyl dans la théorie des nombres. II. (French) Zbl 0018.00802 Proc. Akad. Wet. Amsterdam 40, 756-763 (1937). Reviewer: Vojtěch Jarník (Praha) MSC: 11J54 PDFBibTeX XMLCite \textit{J. G. van der Corput}, Proc. Akad. Wet. Amsterdam 40, 756--763 (1937; Zbl 0018.00802)