Results 21 to 30 of about 196 (47)

The sum of divisors of a quadratic form

open access: yes, 2014
We study the sum of divisors of the quadratic form $m_1^2+m_2^2+m_3^2$. Let $$S_3(X)=\sum_{1\le m_1,m_2,m_3\le X}\tau(m_1^2+m_2^2+m_3^2).$$ We obtain the asymptotic formula $$S_3(X)=C_1X^3\log X+ C_2X^3+O(X^2\log^7 X),$$ where $C_1,C_2$ are two constants.
Zhao, Lilu
core   +1 more source

An Invitation to Additive Prime Number Theory [PDF]

open access: yes, 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.
core  

On Weyl sums for smaller exponents [PDF]

open access: yes, 2010
We present a hybrid approach to bounding exponential sums over kth powers via Vinogradov's mean value theorem, and derive estimates of utility for exponents k of intermediate ...
D. Wooley, Kent D. Boklan, Trevor
core  

It takes two (seconds): decreasing encoding time for two-choice functional near-infrared spectroscopy brain-computer interface communication. [PDF]

open access: yesNeurophotonics, 2023
Vorreuther A   +6 more
europepmc   +1 more source

Applications of some exponential sums on prime powers: a survey

open access: yes, 2016
A survey paper on some recent results on additive problems with prime ...
Languasco, Alessandro
core  

On Hilbert’s solution of Waring’s problem

open access: yesOpen Mathematics, 2011
Pollack Paul
doaj   +1 more source

Relationship between Legionella spp. and antibody titres at a therapeutic thermal spa in Portugal. [PDF]

open access: yesEpidemiol Infect, 1995
Rocha G   +4 more
europepmc   +1 more source
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Matrix Waring problem

Linear Algebra and Its Applications, 2022
Krishna Kishore
exaly  

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