Baruah, Nayandeep Deka; Das, Hirakjyoti Relations among representations of integers by certain quadratic forms. (English) Zbl 1502.11042 Indian J. Pure Appl. Math. 53, No. 3, 672-682 (2022). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E20 PDFBibTeX XMLCite \textit{N. D. Baruah} and \textit{H. Das}, Indian J. Pure Appl. Math. 53, No. 3, 672--682 (2022; Zbl 1502.11042) Full Text: DOI
Sun, Zhi-Hong Representations by linear combinations of triangular numbers. (English) Zbl 1472.11108 J. Ramanujan Math. Soc. 35, No. 4, 373-389 (2020). MSC: 11D85 11E25 PDFBibTeX XMLCite \textit{Z.-H. Sun}, J. Ramanujan Math. Soc. 35, No. 4, 373--389 (2020; Zbl 1472.11108) Full Text: Link
Baruah, Nayandeep Deka; Kaur, Mandeep; Kim, Mingyu; Oh, Byeong-Kweon Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers. (English) Zbl 1477.11064 Indian J. Pure Appl. Math. 51, No. 1, 11-38 (2020). MSC: 11D85 11E20 11E25 33E20 11F27 PDFBibTeX XMLCite \textit{N. D. Baruah} et al., Indian J. Pure Appl. Math. 51, No. 1, 11--38 (2020; Zbl 1477.11064) Full Text: DOI
Alaca, Ayşe Representations by quaternary quadratic forms with coefficients 1, 3, 5, or 15. (English) Zbl 1446.11059 Integers 18, Paper A12, 14 p. (2018). MSC: 11E20 PDFBibTeX XMLCite \textit{A. Alaca}, Integers 18, Paper A12, 14 p. (2018; Zbl 1446.11059) Full Text: Link
Köklüce, Bülent Representation of numbers by sums of squares and the forms of type \(X_1^2+X_1X_2+X_2^2 \). (English) Zbl 1414.11048 Integers 17, Paper A62, 19 p. (2017). MSC: 11D85 PDFBibTeX XMLCite \textit{B. Köklüce}, Integers 17, Paper A62, 19 p. (2017; Zbl 1414.11048) Full Text: Link
Williams, Kenneth S. Some arithmetic convolution identities. (English) Zbl 1422.11007 Ramanujan J. 43, No. 1, 197-213 (2017). MSC: 11A25 11E25 PDFBibTeX XMLCite \textit{K. S. Williams}, Ramanujan J. 43, No. 1, 197--213 (2017; Zbl 1422.11007) Full Text: DOI
Wang, Min; Sun, Zhi-Hong On the number of representations of \(n\) as a linear combination of four triangular numbers. II. (English) Zbl 1380.33012 Int. J. Number Theory 13, No. 3, 593-617 (2017). Reviewer: C. L. Parihar (Indore) MSC: 33E20 30B10 11D85 11E25 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Z.-H. Sun}, Int. J. Number Theory 13, No. 3, 593--617 (2017; Zbl 1380.33012) Full Text: DOI arXiv
Kim, Aeran Jacobi’s theta functions and the number of representations of a positive integer as a sum of four triangular numbers. (English) Zbl 1387.11003 Honam Math. J. 38, No. 4, 753-782 (2016). MSC: 11A05 14H42 PDFBibTeX XMLCite \textit{A. Kim}, Honam Math. J. 38, No. 4, 753--782 (2016; Zbl 1387.11003) Full Text: DOI
Sun, Zhi-Hong Some relations between \(t(a,b,c,d;n)\) and \(N(a,b,c,d;n)\). (English) Zbl 1402.11055 Acta Arith. 175, No. 3, 269-289 (2016). MSC: 11E25 11D85 11F27 33E20 PDFBibTeX XMLCite \textit{Z.-H. Sun}, Acta Arith. 175, No. 3, 269--289 (2016; Zbl 1402.11055) Full Text: DOI arXiv
Wang, Min; Sun, Zhi-Hong On the number of representations of \(n\) as a linear combination of four triangular numbers. (English) Zbl 1403.11031 Int. J. Number Theory 12, No. 6, 1641-1662 (2016). MSC: 11D85 11E25 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Z.-H. Sun}, Int. J. Number Theory 12, No. 6, 1641--1662 (2016; Zbl 1403.11031) Full Text: DOI arXiv
Alaca, Ayşe; Alaca, Şaban; Williams, Kenneth S. Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class. (English) Zbl 1350.11050 Int. J. Number Theory 12, No. 6, 1529-1573 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 11E20 11E25 11L05 PDFBibTeX XMLCite \textit{A. Alaca} et al., Int. J. Number Theory 12, No. 6, 1529--1573 (2016; Zbl 1350.11050) Full Text: DOI
Xia, Ernest X. W.; Ma, Yin Hua; Tian, Lixin On the number of representations of integers by sums of mixed numbers. (English) Zbl 1339.11052 Int. J. Number Theory 12, No. 4, 945-954 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 11E25 11E20 11F27 PDFBibTeX XMLCite \textit{E. X. W. Xia} et al., Int. J. Number Theory 12, No. 4, 945--954 (2016; Zbl 1339.11052) Full Text: DOI
Alaca, Ayşe; Alaca, Şaban; Aygin, Zafer Selçuk Fourier coefficients of a class of eta quotients of weight 2. (English) Zbl 1337.11025 Int. J. Number Theory 11, No. 8, 2381-2392 (2015). Reviewer: Kaori Ota (Tokyo) MSC: 11F11 11F20 11F30 11E20 PDFBibTeX XMLCite \textit{A. Alaca} et al., Int. J. Number Theory 11, No. 8, 2381--2392 (2015; Zbl 1337.11025) Full Text: DOI
Alaca, Şaban; Pehlivan, Lerna; Williams, Kenneth S. On the number of representations of a positive integer as a sum of two binary quadratic forms. (English) Zbl 1302.11013 Int. J. Number Theory 10, No. 6, 1395-1420 (2014). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11E20 PDFBibTeX XMLCite \textit{Ş. Alaca} et al., Int. J. Number Theory 10, No. 6, 1395--1420 (2014; Zbl 1302.11013) Full Text: DOI
Xia, Ernest X. W.; Yao, Olivia X. M. On the representations of integers by certain quadratic forms. (English) Zbl 1256.11029 Int. J. Number Theory 9, No. 1, 189-204 (2013). MSC: 11E25 11E20 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{O. X. M. Yao}, Int. J. Number Theory 9, No. 1, 189--204 (2013; Zbl 1256.11029) Full Text: DOI
Alaca, Ayşe; Williams, Kenneth S. On the quaternary forms \(x^2+y^2+2z^2+3t^2\), \(x^2+2y^2+2z^2+6t^2\), \(x^2+3y^2+3z^2+6t^2\) and \(2x^2+3y^2+6z^2+6t^2\). (English) Zbl 1255.11020 Int. J. Number Theory 8, No. 7, 1661-1686 (2012). MSC: 11E20 11E25 11F27 PDFBibTeX XMLCite \textit{A. Alaca} and \textit{K. S. Williams}, Int. J. Number Theory 8, No. 7, 1661--1686 (2012; Zbl 1255.11020) Full Text: DOI
Yao, Olivia X. M.; Xia, Ernest X. W. The number of representations of an integer as a sum involving generalized pentagonal numbers. (English) Zbl 1247.11050 Int. J. Number Theory 8, No. 4, 1041-1056 (2012). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F27 PDFBibTeX XMLCite \textit{O. X. M. Yao} and \textit{E. X. W. Xia}, Int. J. Number Theory 8, No. 4, 1041--1056 (2012; Zbl 1247.11050) Full Text: DOI
Alaca, Ayşe Representations by quaternary quadratic forms whose coefficients are 1, 4, 9 and 36. (English) Zbl 1248.11028 J. Number Theory 131, No. 11, 2192-2218 (2011). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E20 PDFBibTeX XMLCite \textit{A. Alaca}, J. Number Theory 131, No. 11, 2192--2218 (2011; Zbl 1248.11028) Full Text: DOI