Kim, Taehyeong; Lim, Seonhee; Paulin, Frédéric On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields. (English) Zbl 1525.11080 J. Number Theory 251, 102-146 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J61 11K55 28D20 37A17 22F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pérez, Mariana; Privitelli, Melina On the number of solutions of systems of certain diagonal equations over finite fields. (English) Zbl 1492.11163 J. Number Theory 236, 160-187 (2022). Reviewer: Nikolai L. Manev (Sofia) MSC: 11T06 05E05 14G05 14G15 11G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hejda, Tomáš; Kala, Vítězslav Ternary quadratic forms representing a given arithmetic progression. (English) Zbl 1487.11036 J. Number Theory 234, 140-152 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Broll, Christopher; Knapp, Michael P.; Kuiper, Jessica A.; Rodrigues, Paulo H. A.; Veras, Daiane More exact values of the function \(\Gamma^\ast (k)\). (English) Zbl 1494.11037 J. Number Theory 233, 481-497 (2022). Reviewer: Lekbir Chakri (Rabat) MSC: 11D72 11D88 11E76 × Cite Format Result Cite Review PDF Full Text: DOI
Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P. Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields. (English) Zbl 1469.11451 J. Number Theory 221, 389-423 (2021). MSC: 11R59 11M50 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Knapp, Michael P. 2-adic zeros of diagonal forms. (English) Zbl 1429.11068 J. Number Theory 193, 37-47 (2018). MSC: 11D72 11D88 × Cite Format Result Cite Review PDF Full Text: DOI
Godinho, Hemar; Ventura, Luciana Pairs of diagonal forms of degree \(3^{\tau}.2\) and Artin’s conjecture. (English) Zbl 1428.11065 J. Number Theory 177, 211-247 (2017). MSC: 11D72 11D79 11D88 × Cite Format Result Cite Review PDF Full Text: DOI
Hieu, Do Duy; Thang, Pham Van Distinct distances on regular varieties over finite fields. (English) Zbl 1410.11085 J. Number Theory 173, 602-613 (2017). MSC: 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Uematsu, Tetsuya On the Brauer group of affine diagonal quadrics. (English) Zbl 1348.14059 J. Number Theory 163, 146-158 (2016). MSC: 14F22 11R34 14J26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jędrzejak, Tomasz On the torsion of the Jacobians of superelliptic curves \(y^q = x^p + a\). (English) Zbl 1312.11055 J. Number Theory 145, 402-425 (2014). Reviewer: Ruben A. Hidalgo (Temuco) MSC: 11G30 14H40 × Cite Format Result Cite Review PDF Full Text: DOI
Bremner, Andrew; Ulas, Maciej On certain Diophantine equations of diagonal type. (English) Zbl 1291.11067 J. Number Theory 136, 46-64 (2014). MSC: 11D41 11D45 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Knapp, Michael P. Exact values of the function \(\varGamma ^{*}(k)\). (English) Zbl 1241.11040 J. Number Theory 131, No. 10, 1901-1911 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D88 11D72 × Cite Format Result Cite Review PDF Full Text: DOI
Elsenhans, Andreas-Stephan; Jahnel, Jörg Estimates for Tamagawa numbers of diagonal cubic surfaces. (English) Zbl 1196.11089 J. Number Theory 130, No. 8, 1835-1853 (2010). Reviewer: Remke Kloosterman (Berlin) MSC: 11G35 11G40 11G50 14J20 14J26 × Cite Format Result Cite Review PDF Full Text: DOI
Mills, Donald On the evaluation of Weil sums of Dembowski-Ostrom polynomials. (English) Zbl 1015.11063 J. Number Theory 92, No. 1, 87-98 (2002). MSC: 11T23 11T24 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Harcos, Gergely On sums of four smooth squares. (English) Zbl 0936.11055 J. Number Theory 77, No. 1, 145-154 (1999). Reviewer: Ming-Chit Liu (Hongkong) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Goto, Yasuhiro Arithmetic of weighted diagonal surfaces over finite fields. (English) Zbl 0920.14013 J. Number Theory 59, No. 1, 37-81 (1996). MSC: 14J20 14G15 11G25 × Cite Format Result Cite Review PDF Full Text: DOI
Car, Mireille Quadratic forms on \(\mathbb{F}_ q[T]\). (English) Zbl 0870.11076 J. Number Theory 61, No. 1, 145-180 (1996). Reviewer: M.-C.Liu (Hongkong) MSC: 11T55 11P99 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Wolfmann, Jacques The number of solutions of certain diagonal equations over finite fields. (English) Zbl 0767.11019 J. Number Theory 42, No. 3, 247-257 (1992). Reviewer: G.Steidl (Rostock) MSC: 11D72 11T24 11T71 11G25 94B15 × Cite Format Result Cite Review PDF Full Text: DOI
Dörner, Eberhard Simultaneous diagonal equations over certain \(p\)-adic fields. (English) Zbl 0709.11027 J. Number Theory 36, No. 1, 1-11 (1990). Reviewer: Jörg Brüdern (Stuttgart) MSC: 11D88 11D72 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan Diophantine inequalities for forms in an algebraic number field. (English) Zbl 0653.10019 J. Number Theory 29, No. 3, 324-344 (1988). Reviewer: R.Schulze-Pillot MSC: 11D75 11J87 11E76 11D72 × Cite Format Result Cite Review PDF Full Text: DOI
Low, Lewis; Pitman, Jane; Wolff, Alison Simultaneous diagonal congruences. (English) Zbl 0643.10011 J. Number Theory 29, No. 1, 31-59 (1988). Reviewer: M.-C.Liu MSC: 11D72 11P05 11D41 11D88 11E95 11E76 × Cite Format Result Cite Review PDF Full Text: DOI
Stevenson, Edie The Artin conjecture for three diagonal cubic forms. (English) Zbl 0488.10022 J. Number Theory 14, 374-390 (1982). MSC: 11E76 11D25 11E95 11D88 × Cite Format Result Cite Review PDF Full Text: DOI
Stevenson, Edie On the representation of integers by \(p\)-adic diagonal forms. (English) Zbl 0434.10015 J. Number Theory 12, 367-371 (1980). Reviewer: Edie Stevenson MSC: 11D88 11D85 11E76 11E95 × Cite Format Result Cite Review PDF Full Text: DOI
Myerson, Gerald On the number of zeros of diagonal cubic forms. (English) Zbl 0399.10020 J. Number Theory 11, 95-99 (1979). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11D25 11E76 11T99 11T55 × Cite Format Result Cite Review PDF Full Text: DOI