Qin, Hourong Congruent numbers, quadratic forms and \(K_2\). (English) Zbl 07566711 Math. Ann. 383, No. 3-4, 1647-1686 (2022). MSC: 11R70 11E25 11G05 PDF BibTeX XML Cite \textit{H. Qin}, Math. Ann. 383, No. 3--4, 1647--1686 (2022; Zbl 07566711) Full Text: DOI OpenURL
Serafin, Grzegorz Backward Touchard congruence. (English) Zbl 07527845 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 603-614 (2022). MSC: 11A07 11B50 11B73 11C08 PDF BibTeX XML Cite \textit{G. Serafin}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 603--614 (2022; Zbl 07527845) Full Text: DOI OpenURL
Yin, Hongbo On the 8 case of the Sylvester conjecture. (English) Zbl 07487607 Trans. Am. Math. Soc. 375, No. 4, 2705-2728 (2022). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 PDF BibTeX XML Cite \textit{H. Yin}, Trans. Am. Math. Soc. 375, No. 4, 2705--2728 (2022; Zbl 07487607) Full Text: DOI arXiv OpenURL
Elmer, Jonathan Modular covariants of cyclic groups of order \(p\). (English) Zbl 07483069 J. Algebra 598, 134-155 (2022). MSC: 13A50 PDF BibTeX XML Cite \textit{J. Elmer}, J. Algebra 598, 134--155 (2022; Zbl 07483069) Full Text: DOI arXiv OpenURL
Gao, Yibo; Gu, Andrew Arithmetic of weighted Catalan numbers. (English) Zbl 1470.11033 J. Number Theory 226, 213-242 (2021). MSC: 11B65 05A15 11B75 PDF BibTeX XML Cite \textit{Y. Gao} and \textit{A. Gu}, J. Number Theory 226, 213--242 (2021; Zbl 1470.11033) Full Text: DOI arXiv OpenURL
O’Sullivan, Cormac Rademacher’s conjecture and expansions at roots of unity of products generating restricted partitions. (English) Zbl 07226994 J. Number Theory 216, 335-379 (2020). MSC: 11P82 41A60 PDF BibTeX XML Cite \textit{C. O'Sullivan}, J. Number Theory 216, 335--379 (2020; Zbl 07226994) Full Text: DOI arXiv OpenURL
Chan, Ada Complex Hadamard matrices, instantaneous uniform mixing and cubes. (English) Zbl 1441.05035 Algebr. Comb. 3, No. 3, 757-774 (2020). MSC: 05B20 05E30 05C12 PDF BibTeX XML Cite \textit{A. Chan}, Algebr. Comb. 3, No. 3, 757--774 (2020; Zbl 1441.05035) Full Text: DOI arXiv OpenURL
Prasad, Devendra; Rajkumar, Krishnan; Reddy, A. Satyanarayana A survey on fixed divisors. (English) Zbl 1486.13002 Confluentes Math. 11, No. 1, 29-52 (2019). Reviewer: Giulio Peruginelli (Padova) MSC: 13-02 11-02 11Sxx 11S05 13F20 PDF BibTeX XML Cite \textit{D. Prasad} et al., Confluentes Math. 11, No. 1, 29--52 (2019; Zbl 1486.13002) Full Text: DOI arXiv OpenURL
He, Bo; Togbé, Alain; Ziegler, Volker There is no Diophantine quintuple. (English) Zbl 1430.11044 Trans. Am. Math. Soc. 371, No. 9, 6665-6709 (2019). MSC: 11D09 11J86 11Y50 11J68 PDF BibTeX XML Cite \textit{B. He} et al., Trans. Am. Math. Soc. 371, No. 9, 6665--6709 (2019; Zbl 1430.11044) Full Text: DOI arXiv OpenURL
Li, Ping The spectral rigidity of complex projective spaces, revisited. (English) Zbl 1401.58016 Math. Z. 290, No. 3-4, 1115-1143 (2018). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J53 58J50 53C55 PDF BibTeX XML Cite \textit{P. Li}, Math. Z. 290, No. 3--4, 1115--1143 (2018; Zbl 1401.58016) Full Text: DOI arXiv OpenURL
Stange, Katherine E. The Apollonian structure of Bianchi groups. (English) Zbl 1393.52013 Trans. Am. Math. Soc. 370, No. 9, 6169-6219 (2018). MSC: 52C26 20G30 11F06 11R11 11E57 20E08 20F65 51F25 PDF BibTeX XML Cite \textit{K. E. Stange}, Trans. Am. Math. Soc. 370, No. 9, 6169--6219 (2018; Zbl 1393.52013) Full Text: DOI arXiv OpenURL
Han, Guo-Niu; Liu, Jing-Yi Combinatorial proofs of some properties of tangent and Genocchi numbers. (English) Zbl 1387.05046 Eur. J. Comb. 71, 99-110 (2018). MSC: 05C05 05C99 11B68 PDF BibTeX XML Cite \textit{G.-N. Han} and \textit{J.-Y. Liu}, Eur. J. Comb. 71, 99--110 (2018; Zbl 1387.05046) Full Text: DOI arXiv OpenURL
Godsil, Chris; Zhan, Hanmeng Uniform mixing on Cayley graphs. (English) Zbl 1369.05104 Electron. J. Comb. 24, No. 3, Research Paper P3.20, 27 p. (2017). MSC: 05C25 05E30 81P40 PDF BibTeX XML Cite \textit{C. Godsil} and \textit{H. Zhan}, Electron. J. Comb. 24, No. 3, Research Paper P3.20, 27 p. (2017; Zbl 1369.05104) Full Text: arXiv Link OpenURL
Cosgrave, John B.; Dilcher, Karl A role for generalized Fermat numbers. (English) Zbl 1371.11004 Math. Comput. 86, No. 304, 899-933 (2017). MSC: 11A07 11A51 11B65 PDF BibTeX XML Cite \textit{J. B. Cosgrave} and \textit{K. Dilcher}, Math. Comput. 86, No. 304, 899--933 (2017; Zbl 1371.11004) Full Text: DOI OpenURL
Hallouin, Emmanuel; Perret, Marc A graph aided strategy to produce good recursive towers over finite fields. (English) Zbl 1360.14073 Finite Fields Appl. 42, 200-224 (2016). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14G05 14G15 14H20 05C38 33C05 33C90 PDF BibTeX XML Cite \textit{E. Hallouin} and \textit{M. Perret}, Finite Fields Appl. 42, 200--224 (2016; Zbl 1360.14073) Full Text: DOI arXiv OpenURL
Dietmann, Rainer; Elsholtz, Christian Hilbert cubes in arithmetic sets. (English) Zbl 1342.11085 Rev. Mat. Iberoam. 31, No. 4, 1477-1498 (2015). Reviewer: Guoqing Wang (Tianjin) MSC: 11P70 11B75 11B25 11B30 11N36 PDF BibTeX XML Cite \textit{R. Dietmann} and \textit{C. Elsholtz}, Rev. Mat. Iberoam. 31, No. 4, 1477--1498 (2015; Zbl 1342.11085) Full Text: DOI arXiv OpenURL
He, Bo; Pintér, Ákos; Togbé, Alain On simultaneous Pell equations and related Thue equations. (English) Zbl 1378.11041 Proc. Am. Math. Soc. 143, No. 11, 4685-4693 (2015). MSC: 11D09 11D45 11B37 11J86 PDF BibTeX XML Cite \textit{B. He} et al., Proc. Am. Math. Soc. 143, No. 11, 4685--4693 (2015; Zbl 1378.11041) Full Text: DOI Link OpenURL
Gadiyar, H. Gopalakrishna; Padma, Ramanathan Ramanujan-Fourier series and the conjecture D of Hardy and Littlewood. (English) Zbl 1340.11077 Czech. Math. J. 64, No. 1, 251-267 (2014). MSC: 11N05 11K65 PDF BibTeX XML Cite \textit{H. G. Gadiyar} and \textit{R. Padma}, Czech. Math. J. 64, No. 1, 251--267 (2014; Zbl 1340.11077) Full Text: DOI Link OpenURL
Tasaka, Koji On a conjecture for representations of integers as sums of squares and double shuffle relations. (English) Zbl 1392.11021 Ramanujan J. 33, No. 1, 1-21 (2014). MSC: 11D85 11M32 11E25 11F27 PDF BibTeX XML Cite \textit{K. Tasaka}, Ramanujan J. 33, No. 1, 1--21 (2014; Zbl 1392.11021) Full Text: DOI arXiv OpenURL
Laison, Joshua D.; Starr, Colin; Walker, Andrea Finite prime distance graphs and 2-odd graphs. (English) Zbl 1281.05121 Discrete Math. 313, No. 20, 2281-2291 (2013). MSC: 05C78 PDF BibTeX XML Cite \textit{J. D. Laison} et al., Discrete Math. 313, No. 20, 2281--2291 (2013; Zbl 1281.05121) Full Text: DOI arXiv OpenURL
Prugsapitak, Supawadee The Tarry-Escott problem of degree two. (English) Zbl 1274.11101 Period. Math. Hung. 65, No. 1, 157-165 (2012). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D72 PDF BibTeX XML Cite \textit{S. Prugsapitak}, Period. Math. Hung. 65, No. 1, 157--165 (2012; Zbl 1274.11101) Full Text: DOI OpenURL
Dietmann, Rainer; Elsholtz, Christian Hilbert cubes in progression-free sets and in the set of squares. (English) Zbl 1347.11013 Isr. J. Math. 192, Part A, 59-66 (2012). MSC: 11B30 PDF BibTeX XML Cite \textit{R. Dietmann} and \textit{C. Elsholtz}, Isr. J. Math. 192, Part A, 59--66 (2012; Zbl 1347.11013) Full Text: DOI arXiv OpenURL
Sezer, Müfit Explicit separating invariants for cyclic \(P\)-groups. (English) Zbl 1267.13011 J. Comb. Theory, Ser. A 118, No. 2, 681-689 (2011). MSC: 13A50 20C20 20D15 PDF BibTeX XML Cite \textit{M. Sezer}, J. Comb. Theory, Ser. A 118, No. 2, 681--689 (2011; Zbl 1267.13011) Full Text: DOI OpenURL
Tyszka, Apoloniusz Two conjectures on the arithmetic in \(\mathbb R\) and \(\mathbb C\). (English) Zbl 1278.11106 Math. Log. Q. 56, No. 2, 175-184 (2010). MSC: 11U09 03B30 03D15 11U05 15A06 PDF BibTeX XML Cite \textit{A. Tyszka}, Math. Log. Q. 56, No. 2, 175--184 (2010; Zbl 1278.11106) Full Text: DOI arXiv OpenURL
Sezer, Müfit Constructing modular separating invariants. (English) Zbl 1205.13009 J. Algebra 322, No. 11, 4099-4104 (2009). Reviewer: R. J. Shank (Canterbury) MSC: 13A50 PDF BibTeX XML Cite \textit{M. Sezer}, J. Algebra 322, No. 11, 4099--4104 (2009; Zbl 1205.13009) Full Text: DOI Link OpenURL
Hajdu, Lajos; Tengely, Szabolcs Arithmetic progressions of squares, cubes and \(n\)-th powers. (English) Zbl 1230.11040 Funct. Approximatio, Comment. Math. 41, No. 2, 129-138 (2009). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 11Y50 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{S. Tengely}, Funct. Approximatio, Comment. Math. 41, No. 2, 129--138 (2009; Zbl 1230.11040) Full Text: DOI arXiv Euclid OpenURL
Postnikov, Alexander; Sagan, Bruce E. What power of two divides a weighted Catalan number? (English) Zbl 1145.11024 J. Comb. Theory, Ser. A 114, No. 5, 970-977 (2007). Reviewer: Grigore Călugăreanu (Safat) MSC: 11B75 05A19 05A15 PDF BibTeX XML Cite \textit{A. Postnikov} and \textit{B. E. Sagan}, J. Comb. Theory, Ser. A 114, No. 5, 970--977 (2007; Zbl 1145.11024) Full Text: DOI arXiv OpenURL
McAfee, Erin; Williams, Kenneth S. An arithmetic formula of Liouville. (English) Zbl 1116.11007 J. Théor. Nombres Bordx. 18, No. 1, 223-239 (2006). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11E25 11D04 PDF BibTeX XML Cite \textit{E. McAfee} and \textit{K. S. Williams}, J. Théor. Nombres Bordx. 18, No. 1, 223--239 (2006; Zbl 1116.11007) Full Text: DOI Numdam Numdam EuDML OpenURL
Dujella, Andrej Diophantine \(m\)-tuples and elliptic curves. (English) Zbl 1046.11034 J. Théor. Nombres Bordx. 13, No. 1, 111-124 (2001). MSC: 11G05 11D25 PDF BibTeX XML Cite \textit{A. Dujella}, J. Théor. Nombres Bordx. 13, No. 1, 111--124 (2001; Zbl 1046.11034) Full Text: DOI Numdam EuDML EMIS OpenURL
Anshel, Michael; Goldfeld, Dorian Zeta functions, one-way functions, and pseudorandom number generators. (English) Zbl 1053.11533 Duke Math. J. 88, No. 2, 371-390 (1997). MSC: 11M41 11K45 94A60 PDF BibTeX XML Cite \textit{M. Anshel} and \textit{D. Goldfeld}, Duke Math. J. 88, No. 2, 371--390 (1997; Zbl 1053.11533) Full Text: DOI OpenURL
Ono, Takashi Triangles and elliptic curves. VII. (English) Zbl 0866.14023 Proc. Japan Acad., Ser. A 72, No. 2, 31-33 (1996). Reviewer: B.Richter (Berlin) MSC: 14H52 11G05 51M15 PDF BibTeX XML Cite \textit{T. Ono}, Proc. Japan Acad., Ser. A 72, No. 2, 31--33 (1996; Zbl 0866.14023) Full Text: DOI OpenURL
Guitart, René Euler-Jordan and Gauß functions and exponentials in Burnside semirings. (Fonctions d’Euler-Jordan et de Gauß et exponentielle dans les semi- anneaux de Burnside.) (French) Zbl 0771.11003 Cah. Topologie Géom. Différ. Catég. 33, No. 3, 253-260 (1992). Reviewer: J.Sándor (Jud.Harghita) MSC: 11A25 18B25 PDF BibTeX XML Cite \textit{R. Guitart}, Cah. Topologie Géom. Différ. Catégoriques 33, No. 3, 253--260 (1992; Zbl 0771.11003) Full Text: Numdam EuDML OpenURL
Chahal, Jasbir Singh On an identity of Desboves. (English) Zbl 0562.14010 Proc. Japan Acad., Ser. A 60, 105-108 (1984). Reviewer: C.-G.Schmidt MSC: 11G05 14H45 11D04 14G05 14H52 11D25 PDF BibTeX XML Cite \textit{J. S. Chahal}, Proc. Japan Acad., Ser. A 60, 105--108 (1984; Zbl 0562.14010) Full Text: DOI OpenURL
Berndt, Bruce C.; Evans, Ronald J. Half Gauss sums. (English) Zbl 0414.10037 Math. Ann. 249, 115-125 (1980). MSC: 11L03 PDF BibTeX XML Cite \textit{B. C. Berndt} and \textit{R. J. Evans}, Math. Ann. 249, 115--125 (1980; Zbl 0414.10037) Full Text: DOI EuDML OpenURL
Uchiyama, Saburo Three primes in arithmetical progression. (English) Zbl 0104.26905 Proc. Japan Acad. 37, 329-330 (1961). PDF BibTeX XML Cite \textit{S. Uchiyama}, Proc. Japan Acad. 37, 329--330 (1961; Zbl 0104.26905) Full Text: DOI OpenURL