Results 41 to 50 of about 12,497 (156)
Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
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Modular diophantine inequalities and numerical semigroups [PDF]
Pacific Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosales, J. C. +2 more
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On the exceptional set in Littlewood's discrete conjecture
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
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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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Additive inhomogeneous Diophantine inequalities [PDF]
Acta Arithmetica, 2003 Let \(h_1(y),\ldots,h_s(y)\) be polynomials with real coefficients, and put \(H({\mathbf y})=H(y_1,\ldots,y_s)=h_1(y_1)+\cdots+h_s(y_s)\). Suppose throughout that the degree of each \(h_i(y)\) is at most \(k\) and at least one, and that there exists a couple of coefficients of non-constant terms of \(H({\mathbf y})\) such that the ratio of them is ...
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An improved estimate for certain Diophantine inequalities [PDF]
Proceedings of the American Mathematical Society, 1980 Let λ 1 , … , λ 8 {\lambda _1}, \ldots ,{\lambda _8} be any nonzero real numbers such that not all λ j {\lambda _j} are of the same sign and not all ...
Liu, M.C., Ng, Shu Ming, Tsang, K.M.
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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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On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]
, 2010 In this paper, we present a simple and fast method for counting the number of nonnegative integer solutions to the equality a1x1+a2x2+: : :+arxr = n where a1; a2; :::; ar and n are positive integers.
Farzaneh , A. +3 more
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GCD inequalities arising from codimension‐2 blowups
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
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Report on some recent advances in Diophantine approximation [PDF]
, 2009 A basic question of Diophantine approximation, which is the first issue we discuss, is to investigate the rational approximations to a single real number. Next, we consider the algebraic or polynomial approximations to a single complex number, as well as
Waldschmidt, Michel
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