Michael O. Rabin. Automata on infinite objects and Church's problem. Conference Board of the Mathematical Sciences, Regional conference series in mathematics, no. 13. American Mathematical Society, Providence 1972, 22 pp.

1975 ◽  
Vol 40 (4) ◽  
pp. 623-623
Author(s):  
Dirk Siefkes
Keyword(s):  
American Mathematical Society ◽  
Mathematical Society ◽  
Conference Series ◽  
Regional Conference ◽  
Mathematical Sciences

Fred Appenzeller. An independence result in quadratic form theory: infinitary combinatorics applied to ε-Hermitian spaces. The journal of symbolic logic, vol. 54 (1989), pp. 689–699. - Otmar Spinas. Linear topologies on sesquilinear spaces of uncountable dimension. Fundamenta mathematicae, vol. 139 (1991), pp. 119–132. - James E. Baumgartner, Matthew Foreman, and Otmar Spinas. The spectrum of the Γ-invariant of a bilinear space. Journal of algebra, vol. 189 (1997), pp. 406–418. - James E. Baumgartner and Otmar Spinas. Independence and consistency proofs in quadratic form theory. The journal of symbolic logic, vol. 56 (1991), pp. 1195–1211. - Otmar Spinas. Iterated forcing in quadratic form theory. Israel journal of mathematics, vol. 79 (1992), pp. 297–315. - Otmar Spinas. Cardinal invariants and quadratic forms. Set theory of the reals, edited by Haim Judah, Israel mathematical conference proceedings, vol. 6, Gelbart Research Institute for Mathematical Sciences, Bar-Ilan University, Ramat-Gan 1993, distributed by the American Mathematical Society, Providence, pp. 563–581. - Saharon Shelah and Otmar Spinas. Gross spaces. Transactions of the American Mathematical Society, vol. 348 (1996), pp. 4257–4277.

2001 ◽  
Vol 7 (2) ◽  
pp. 285-286
Author(s):  
Paul C. Eklof
Keyword(s):  
Quadratic Form ◽  
Quadratic Forms ◽  
American Mathematical Society ◽  
Mathematical Society ◽  
Symbolic Logic ◽  
Iterated Forcing ◽  
Independence Result ◽  
Form Theory ◽  
Mathematical Sciences ◽  
Consistency Proofs

scholarly journals Comparing demographics of signatories to public letters on diversity in the mathematical sciences

2019 ◽  
Author(s):  
Chad Topaz ◽  
James Cart ◽  
Carrie Diaz Eaton ◽  
Anelise Hanson Shrout ◽  
Jude A. Higdon ◽  
...  
Keyword(s):  
Social Sciences ◽  
Social Justice ◽  
Ethnic Groups ◽  
American Mathematical Society ◽  
White Men ◽  
Mathematical Achievement ◽  
Mathematical Society ◽  
Empirical Results ◽  
The Social ◽  
Mathematical Sciences

In its December 2019 edition, the Notices of the American Mathematical Society published an essay critical of the use of diversity statements in academic hiring. The publication of this essay prompted many responses, including three public letters circulated within the mathematical sciences community. Each letter was signed by hundreds of people and was published online, also by the American Mathematical Society. We report on a study of the signatories' demographics, which we infer using a crowdsourcing approach. Letter A highlights diversity and social justice. The pool of signatories contains relatively more individuals inferred to be women and/or members of underrepresented ethnic groups. Moreover, this pool is diverse with respect to the levels of professional security and types of academic institutions represented. Letter B does not comment on diversity, but rather, asks for discussion and debate. This letter was signed by a strong majority of individuals inferred to be white men in professionally secure positions at highly research intensive universities. Letter C speaks out specifically against diversity statements, calling them "a mistake," and claiming that their usage during early stages of faculty hiring "diminishes mathematical achievement." Individuals who signed both Letters B and C, that is, signatories who both privilege debate and oppose diversity statements, are overwhelmingly inferred to be tenured white men at highly research intensive universities. Our empirical results are consistent with theories of power drawn from the social sciences.

ON THE POLYNOMIAL xd + ax + b OVER 𝔽q AND GAUSSIAN HYPERGEOMETRIC SERIES

2013 ◽  
Vol 09 (07) ◽  
pp. 1753-1763 ◽  
Author(s):  
RUPAM BARMAN ◽  
GAUTAM KALITA
Keyword(s):  
Modular Forms ◽  
Hypergeometric Series ◽  
American Mathematical Society ◽  
Polynomial Equation ◽  
Mathematical Society ◽  
Number Of Solutions ◽  
Special Values ◽  
Regional Conference ◽  
Gaussian Hypergeometric Series ◽  
Cbms Regional Conference Series

For d ≥ 2, denote by Pd(x) the polynomial over 𝔽q given by [Formula: see text]. We explicitly find the number of solutions in 𝔽q of the polynomial equation Pd(x) = 0 in terms of special values of dFd-1 and d-1Fd-2 Gaussian hypergeometric series with characters of orders d and d - 1 as parameters. This solves a problem posed by K. Ono (see p. 204 in [Web of Modularity : Arithmetic of the Coefficients of Modular Forms and q-Series, CBMS Regional Conference Series in Mathematics, No. 102 (American Mathematical Society, Providence, RI, 2004)]) on special values of n+1Fn Gaussian hypergeometric series for n > 2.

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