Zobrazeno 1 - 4
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pro vyhledávání: '"Sarah Trebat-Leder"'
Autor:
Sarah Trebat-Leder, Amanda Clemm
Publikováno v:
Journal of Number Theory. 161:135-145
We consider the question of which quadratic fields have elliptic curves with everywhere good reduction. By revisiting work of Setzer, we expand on congruence conditions that determine the real and imaginary quadratic fields with elliptic curves of ev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f094caa1a84c384c87b7bce0eca0acd
https://doi.org/10.1016/j.jnt.2015.07.001
https://doi.org/10.1016/j.jnt.2015.07.001
Publikováno v:
Mathematics of Computation. 83:2925-2951
In 1972, Serre showed that the adelic Galois representation associated to a non-CM elliptic curve over a number field has open image in G L 2 ( Z ^ ) \mathrm {GL}_2(\widehat {\mathbb {Z}}) . In (2010), Greicius developed necessary and sufficient crit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f94956e3b41ff493c57638a9b84b81ea
https://doi.org/10.1090/s0025-5718-2014-02804-4
https://doi.org/10.1090/s0025-5718-2014-02804-4
Publikováno v:
Monatshefte für Mathematik. 173:1-34
Folsom, Kent, and Ono used the theory of modular forms modulo $$\ell $$ to establish remarkable “self-similarity” properties of the partition function and give an overarching explanation of many partition congruences. We generalize their work to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7979944be8ab3be07e94bb33629dc7c6
https://doi.org/10.1007/s00605-013-0586-y
https://doi.org/10.1007/s00605-013-0586-y
Autor:
Ken Ono, Sarah Trebat-Leder
Publikováno v:
Research in Number Theory. 2(1)
We revisit the mathematics that Ramanujan developed in connection with the famous “taxi-cab” number 1729. A study of his writings reveals that he had been studying Euler’s diophantine equation $$\begin{aligned} a^3+b^3=c^3+d^3. \end{aligned}$$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::786fff43cdd8a8b958837851a9625bdd