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pro vyhledávání: '"Jordan Schettler"'
Autor:
Jordan Schettler
Publikováno v:
Journal of Mathematics and the Arts. 15:137-149
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acc512db9832d8755935695981d671b7
https://doi.org/10.1080/17513472.2021.1940468
https://doi.org/10.1080/17513472.2021.1940468
Autor:
Tim Hsu, John Bragelman, Marion Campisi, Bem Cayco, Jordan Schettler, Wes Maciejewski, Andrea Gottlieb, Trisha Bergthold
Publikováno v:
PRIMUS. 31:504-516
Our university is one campus of the larger, 23-campus California State University system. In 2017, the Chancellor of the system discontinued the developmental mathematics programs at all 23 campuse...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ca7cffa6d916709b7eba1b432334dbe
https://doi.org/10.1080/10511970.2020.1793854
https://doi.org/10.1080/10511970.2020.1793854
Autor:
Jordan Schettler
Publikováno v:
Mathematics Magazine. 92:201-212
Wendy Carlos is an American composer and electronic musician who constructed three closely related musical scales she called α, β, and γ. These scales are xenharmonic, i.e., unrelated to the famili...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37f05cbc6601adec4b398f893c99980e
https://doi.org/10.1080/0025570x.2019.1569938
https://doi.org/10.1080/0025570x.2019.1569938
A positive integer is called an $E_j$-number if it is the product of $j$ distinct primes. We prove that there are infinitely many triples of $E_2$-numbers within a gap size of $32$ and infinitely many triples of $E_3$-numbers within a gap size of $15
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d987652b79509a55dd36b0008fda0f9
Autor:
S. W. Graham, Daniel A. Goldston, Jordan Schettler, Apoorva Panidapu, János Pintz, C. Y. Yildirim
This paper is intended as a sequel to a paper arXiv:0803.2636 written by four of the coauthors here. In the paper, they proved a stronger form of the Erd\H{o}s-Mirksy conjecture which states that there are infinitely many positive integers $x$ such t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cf374520aa348c7a52adf4006f5fc3d
http://arxiv.org/abs/2003.03661
http://arxiv.org/abs/2003.03661
Autor:
Jordan Schettler, Nicolas Brody
Publikováno v:
Journal of Number Theory. 164:359-374
The family of Euclidean triangles having some fixed perimeter and area can be identified with a subset of points on a nonsingular cubic plane curve, i.e., an elliptic curve; furthermore, if the perimeter and the square of the area are rational, then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::270a8dbd9948e728a05f1876721ab492
https://doi.org/10.1016/j.jnt.2016.01.004
https://doi.org/10.1016/j.jnt.2016.01.004
Autor:
Jordan Schettler
Publikováno v:
Journal of Number Theory. 138:84-96
We prove a slight generalization of Iwasawa's ‘Riemann–Hurwitz’ formula for number fields and use it to generalize Kida and Ferrero's well-known computations of Iwasawa λ-invariants for the cyclotomic Z 2 -extensions of imaginary quadratic num
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4417cb398c838d057d50af059bb1d928
https://doi.org/10.1016/j.jnt.2013.11.014
https://doi.org/10.1016/j.jnt.2013.11.014
Autor:
Jordan Schettler
Let $\ell>3$ be a prime such that $\ell \equiv 3 \pmod{4}$ and $\mathbb{Q}(\sqrt{\ell})$ has class number 1. Then Hirzebruch and Zagier noticed that the class number of $\mathbb{Q}(\sqrt{-\ell})$ can be expressed as $h(-\ell) = (1/3)(b_1+b_2 + \cdots
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32ddb3f46ceb10df59c9e5e1266855fb
http://arxiv.org/abs/1403.3946
http://arxiv.org/abs/1403.3946
Autor:
Jordan Schettler
We produce generalizations of Iwasawa's `Riemann-Hurwitz' formula for number fields. These generalizations apply to cyclic extensions of number fields of degree p^n for any positive integer n. We first deduce some congruences and inequalities and the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7a03ca5589f3b70e548203fe6744915