Deng, Yu; Germain, Pierre; Guth, Larry; Myerson, Simon L. Rydin Strichartz estimates for the Schrödinger equation on non-rectangular two-dimensional tori. (English) Zbl 1498.35118 Am. J. Math. 144, No. 3, 701-745 (2022). Reviewer: Jiqiang Zheng (Beijing) MSC: 35B45 35A23 35Q41 PDFBibTeX XMLCite \textit{Y. Deng} et al., Am. J. Math. 144, No. 3, 701--745 (2022; Zbl 1498.35118) Full Text: arXiv Link
Denef, Jan Geometric proofs of theorems of Ax-Kochen and Eršov. (English) Zbl 1350.11048 Am. J. Math. 138, No. 1, 181-199 (2016). Reviewer: Mehmet Cenkci (Antalya) MSC: 11D88 12J12 11S23 PDFBibTeX XMLCite \textit{J. Denef}, Am. J. Math. 138, No. 1, 181--199 (2016; Zbl 1350.11048) Full Text: DOI arXiv Link
Colliot-Thélène, Jean-Louis; Wittenberg, Olivier Brauer group and integral points of two families of affine cubic surfaces. (Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines.) (French) Zbl 1295.14020 Am. J. Math. 134, No. 5, 1303-1327 (2012). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14F22 11D25 11G05 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} and \textit{O. Wittenberg}, Am. J. Math. 134, No. 5, 1303--1327 (2012; Zbl 1295.14020) Full Text: DOI arXiv
Poonen, Bjorn Characterizing integers among rational numbers with a universal-existential formula. (English) Zbl 1179.11047 Am. J. Math. 131, No. 3, 675-682 (2009). Reviewer: Gunther Cornelissen (Utrecht) MSC: 11U05 03D35 11D99 03B25 11E16 11R52 PDFBibTeX XMLCite \textit{B. Poonen}, Am. J. Math. 131, No. 3, 675--682 (2009; Zbl 1179.11047) Full Text: DOI arXiv Link
Corvaja, Pietro; Zannier, Umberto On a general Thue’s equation. (English) Zbl 1125.11022 Am. J. Math. 126, No. 5, 1033-1055 (2004); addendum ibid. 128, No. 4, 1057-1066 (2006). MSC: 11D59 11G30 11J25 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, Am. J. Math. 126, No. 5, 1033--1055 (2004; Zbl 1125.11022) Full Text: DOI
Ellenberg, Jordan S. Galois representations attached to \(\mathbb Q\)-curves and the generalized Fermat equation \(A^4+ B^2= C^p\). (English) Zbl 1059.11041 Am. J. Math. 126, No. 4, 763-787 (2004). Reviewer: Alain Kraus (Paris) MSC: 11F80 11D41 11G30 PDFBibTeX XMLCite \textit{J. S. Ellenberg}, Am. J. Math. 126, No. 4, 763--787 (2004; Zbl 1059.11041) Full Text: DOI
Magyar, Ákos Diophantine equations and ergodic theorems. (English) Zbl 1042.37004 Am. J. Math. 124, No. 5, 921-953 (2002). Reviewer: Karma Dajani (Utrecht) MSC: 37A05 37A30 11D45 11L07 28D15 PDFBibTeX XMLCite \textit{Á. Magyar}, Am. J. Math. 124, No. 5, 921--953 (2002; Zbl 1042.37004) Full Text: DOI Link
Silverman, Joseph H. Rational points on symmetric products of a curve. (English) Zbl 0749.14013 Am. J. Math. 113, No. 3, 471-508 (1991). Reviewer: R.-P. Holzapfel (Berlin) MSC: 14G05 14K15 14H25 11D41 PDFBibTeX XMLCite \textit{J. H. Silverman}, Am. J. Math. 113, No. 3, 471--508 (1991; Zbl 0749.14013) Full Text: DOI
Sinha, T. N. A class of quartic Diophantine equations with only trivial solutions. (English) Zbl 0383.10010 Am. J. Math. 100, 585-590 (1978). MSC: 11D25 PDFBibTeX XMLCite \textit{T. N. Sinha}, Am. J. Math. 100, 585--590 (1978; Zbl 0383.10010) Full Text: DOI
Szymiczek, K. On the equations \(a^ x \pm b^ x = c^ y\). (English) Zbl 0151.03304 Am. J. Math. 87, 262-266 (1965). Reviewer: W. Ljunggren MSC: 11D61 PDFBibTeX XMLCite \textit{K. Szymiczek}, Am. J. Math. 87, 262--266 (1965; Zbl 0151.03304) Full Text: DOI
LeVeque, William J. On the equation \(a^ x - b^ y = 1\). (English) Zbl 0047.04103 Am. J. Math. 74, 325-331 (1952). Reviewer: W. Ljunggren MSC: 11D61 PDFBibTeX XMLCite \textit{W. J. LeVeque}, Am. J. Math. 74, 325--331 (1952; Zbl 0047.04103) Full Text: DOI
Brauer, Alfred On a problem of partitions. (English) Zbl 0061.06801 Am. J. Math. 64, 299-312 (1942). Reviewer: N. Hofreiter (Wien) MSC: 11D04 PDFBibTeX XMLCite \textit{A. Brauer}, Am. J. Math. 64, 299--312 (1942; Zbl 0061.06801) Full Text: DOI
Ward, Morgan Note on the general rational solution of the equation \(ax^2-by^2=z^3\). (English) Zbl 0021.10504 Am. J. Math. 61, 788-790 (1939). Reviewer: H. Reichardt (Leipzig) MSC: 11D25 PDFBibTeX XMLCite \textit{M. Ward}, Am. J. Math. 61, 788--790 (1939; Zbl 0021.10504) Full Text: DOI
Fogels, E. The general rational solution of the equation \(ax^2-by^2=z^3\). (English) Zbl 0019.00601 Am. J. Math. 60, 734-736 (1938). Reviewer: H. Reichardt (Leipzig) MSC: 11D25 PDFBibTeX XMLCite \textit{E. Fogels}, Am. J. Math. 60, 734--736 (1938; Zbl 0019.00601) Full Text: DOI
Pall, Gordon The quaternionic congruence \(\overline t at\equiv b(\mod g)\) and the equation \(h(8n+1)=x_1^2+x_2^2+x_3^2\). (English) Zbl 0017.38802 Am. J. Math. 59, 895-913 (1937). Reviewer: Ralph Hull (Urbana) MSC: 11D09 11A07 PDFBibTeX XMLCite \textit{G. Pall}, Am. J. Math. 59, 895--913 (1937; Zbl 0017.38802) Full Text: DOI
Bell, E. T. Representations in certain pure forms of degrees higher than the second. (English) Zbl 0017.10301 Am. J. Math. 59, 585-598 (1937). Reviewer: D. B. Lehmer MSC: 11D85 11D25 11D41 11E76 PDFBibTeX XMLCite \textit{E. T. Bell}, Am. J. Math. 59, 585--598 (1937; Zbl 0017.10301) Full Text: DOI
Ward, Morgan A type of multiplicative diophantine system. (English) Zbl 0006.15502 Am. J. Math. 55, 67-76 (1933). Reviewer: R. D. Carmichael (Urbana) MSC: 11D57 PDFBibTeX XMLCite \textit{M. Ward}, Am. J. Math. 55, 67--76 (1933; Zbl 0006.15502) Full Text: DOI
Bell, E. T. Reciprocal arrays and diophantine analysis. (English) Zbl 0006.15501 Am. J. Math. 55, 50-66 (1933). Reviewer: R. D. Carmichael (Urbana) MSC: 11Dxx PDFBibTeX XMLCite \textit{E. T. Bell}, Am. J. Math. 55, 50--66 (1933; Zbl 0006.15501) Full Text: DOI
Sylvester, J. J. On certain ternary cubic-form equations. (English) JFM 11.0141.01 Am. J. II, 280-285 (1879); II, 371-394 (1879). Reviewer: Nöther, Prof. (Erlangen) MSC: 11D25 PDFBibTeX XMLCite \textit{J. J. Sylvester}, Am. J. Math. 2, 280--285 (1879; JFM 11.0141.01) Full Text: DOI Link
Lucas, E. On the indeterminate analysis of the third degree. Proof of several theorems of Mr. Sylvester. (Sur l’analyse indéterminée du troisième degré. Démonstration de plusieurs théorèmes de M. Sylvester.) (French) JFM 11.0135.01 Am. J. II, 178-186 (1879). Reviewer: Netto, Prof. (Strassburg) MSC: 11G05 11D25 14G05 PDFBibTeX XMLCite \textit{E. Lucas}, Am. J. Math. 2, 178--186 (1879; JFM 11.0135.01) Full Text: DOI