Results 21 to 30 of about 106 (53)
One Cubic Diophantine Inequality [PDF]
, 2000 Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025 ...
Freeman, D. Eric
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Some new results in quantitative Diophantine approximation
, 2022 In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we consider quadratic forms taking values at prime points.
Ghosh, Anish, Kumaraswamy, V. Vinay
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An Invitation to Additive Prime Number Theory [PDF]
, 2005 2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number ...
Kumchev, A., Tolev, D.
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Small values of signed harmonic sums [PDF]
, 2018 For every \u3c4 08R and every integer N, let mN(\u3c4) be the minimum of the distance of \u3c4 from the sums 11n=1Nsn/n, where s1,\u2026,sn 08 121,+1.
Bettin, S., Molteni, G., Sanna, C.
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Counting primitive points of bounded height
, 2010 Let $k$ be a number field and $K$ a finite extension of $k$. We count points of bounded height in projective space over the field $K$ generating the extension $K/k$.
Widmer, Martin
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Almost equal summands in Waring’s problem with shifts [PDF]
, 2018 A result of Wright from 1937 shows that there are arbitrarily large natural numbers which cannot be represented as sums of $s$ $k$th powers of natural numbers which are constrained to lie within a narrow region.
Biggs, Kirsti D.
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Irreducible numerical semigroups with multiplicity three and four [PDF]
, 2011 In this paper we analyze the irreducibility of numerical semigroups with multiplicity up to four. Our approach uses the notion of Kunz-coordinates vector of a numerical semigroup recently introduced in (Blanco-Puerto, 2011).
Blanco, Víctor
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Signed harmonic sums of integers with k distinct prime factors [PDF]
, 2020 We give some theoretical and computational results on “random” harmonic sums with prime numbers, and more generally, for integers with a fixed number of prime ...
Gambini A., Tonon R., Zaccagnini A.
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Exceptional sets for Diophantine inequalities [PDF]
, 2012 We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument.
D. Wooley, Scott T. Parsell, Trevor
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A New Lower Bound in the $abc$ Conjecture
, 2023 We prove that there exist infinitely many coprime numbers $a$, $b$, $c$ with $a+b=c$ and $c>\operatorname{rad}(abc)\exp(6.563\sqrt{\log c}/\log\log c)$. These are the most extremal examples currently known in the $abc$ conjecture, thereby providing a new
Bright, Curtis
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