Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Mathieu F. Lemire"'
Publikováno v:
International Journal of Number Theory. :13-40
Some theta function identities are proved and used to give formulae for the number of representations of a positive integer by certain quaternary forms x2 + ey2 + fz2 + gt2 with e, f, g ∈ {1, 2, 4, 8}.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74f291d66b5d99602c14771781e2e4af
https://doi.org/10.1142/s1793042109001943
https://doi.org/10.1142/s1793042109001943
Publikováno v:
International Journal of Number Theory. :219-239
Some new theta function identities are proved and used to determine the number of representations of a positive integer n by certain quaternary quadratic forms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::545c00396cdf3480a2977ade910d5611
https://doi.org/10.1142/s1793042108001304
https://doi.org/10.1142/s1793042108001304
Publikováno v:
Acta Arithmetica. 130:277-310
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e706196dfc9167e12b41a51419d80221
https://doi.org/10.4064/aa130-3-5
https://doi.org/10.4064/aa130-3-5
Autor:
Kenneth S. Williams, Mathieu F. Lemire
Publikováno v:
Bulletin of the Australian Mathematical Society. 73:107-115
The convolution sums and are evaluated for all n ∈ ℕ.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::246a02c817d1dc6161083ed6cd372b3d
https://doi.org/10.1017/s0004972700038661
https://doi.org/10.1017/s0004972700038661