Results 31 to 40 of about 892 (168)
Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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A new generalization of Fermat's Last Theorem
Journal of Number Theory, 2015 11 pages ...
Cai, Tianxin, Chen, Deyi, Zhang, Yong
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Solving the n $n$‐Player Tullock Contest
Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
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SUPERSYMMETRY BREAKINGS AND FERMAT'S LAST THEOREM [PDF]
Modern Physics Letters A, 1995 A mechanism of supersymmetry breaking in two or four dimensions is given, in which the breaking is related to the Fermat's last theorem. It is shown that supersymmetry is exact at some irrational number points in parameter space, while it is broken at all rational number points except for the origin.
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Hypergraphs with arbitrarily small codegree Turán density
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract The codegree Turán density γ(F)$\gamma (F)$ of a k$k$‐graph F$F$ is the smallest γ∈[0,1)$\gamma \in [0,1)$ such that every k$k$‐graph H$H$ with δk−1(H)⩾(γ+o(1))|V(H)|$\delta _{k-1}(H)\geqslant (\gamma +o(1))\vert V(H)\vert$ contains a copy of F$F$. In this work, we show that for every ε>0$\varepsilon >0$, there is a k$k$‐uniform hypergraph F$F$
Simón Piga, Bjarne Schülke
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A Determinant Connected with Fermat's Last Theorem [PDF]
Proceedings of the American Mathematical Society, 1959 1. D. H. Lehmer, The Tarry-Escott problem, Scripta Math. vol. 13 (1947) pp. 3741. 2. J. B. Roberts, A curious sequence of signs, Amer. Math. Monthly vol. 64 (1957) pp. 317-322. 3. , A new proof of a theorem of Lehmer, Canad. J. Math. vol. 10 (1958) pp. 191-194. 4. E. M. Wright, Equal sums of like powers, Edinburgh Math. Proc. vol. 8 (1949) pp. 138-142.
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Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
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f$f$‐Diophantine sets over finite fields via quasi‐random hypergraphs from multivariate polynomials
Mathematika, Volume 72, Issue 2, April 2026.Abstract We investigate f$f$‐Diophantine sets over finite fields via new explicit constructions of families of quasi‐random hypergraphs from multivariate polynomials. In particular, our construction not only offers a systematic method for constructing quasi‐random hypergraphs but also provides a unified framework for studying various hypergraphs ...
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
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Variable selection via thresholding
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 207-237, March 2026.Abstract Variable selection comprises an important step in many modern statistical inference procedures. In the regression setting, when estimators cannot shrink irrelevant signals to zero, covariates without relationships to the response often manifest small but nonzero regression coefficients.
Ka Long Keith Ho, Hien Duy Nguyen
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On Fermat's Last Theorem [PDF]
Transactions of the American Mathematical Society, 1929 In two recent paperst the writer stated without proof four theorems concerning Fermat's last theorem. These results were employed to prove the theorem for all exponents greater than 2 and less than 211. In the present paper the proofs of Theorems I to IV of my previous papers will be given, as well as one of an additional Theorem V.
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