A Diophantine problem with prime variables [PDF]
, 2012 We study the distribution of the values of the form $\lambda_1 p_1 + \lambda_2 p_2 + \lambda_3 p_3^k$, where $\lambda_1$, $\lambda_2$ and $\lambda_3$ are non-zero real number not all of the same sign, with $\lambda_1 / \lambda_2$ irrational, and $p_1 ...
Languasco, Alessandro +1 more
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
europepmc +1 more source
On the infinite Borwein product raised to a positive real power. [PDF]
Ramanujan J, 2023 Schlosser MJ, Zhou NH.
europepmc +1 more source
Integer points on homogeneous varieties with two or more degrees [PDF]
, 2014 We give a revised version of Schmidt's treatment of forms in many variables, which allows us to prove a Hasse principle under more lenient conditions on the number of variables than what had previously been thought possible with these methods.
Brandes, Julia
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The epidemiology of blood transfusion in hospitalized children: a national cross-sectional study in China. [PDF]
Transl Pediatr, 2021 Guo K +7 more
europepmc +1 more source
Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
, 2017 Let ...
Gambini, Alessandro
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Applications of some exponential sums on prime powers: a survey
, 2016 A survey paper on some recent results on additive problems with prime ...
Languasco, Alessandro
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Discovery and Selection of Hepatitis B Virus-Derived T Cell Epitopes for Global Immunotherapy Based on Viral Indispensability, Conservation, and HLA-Binding Strength. [PDF]
J Virol, 2020 de Beijer MTA +9 more
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Quantitative Results on Diophantine Equations in Many Variables
, 2019 We consider a system of integer polynomials of the same degree with non-singular local zeros and in many variables. Generalising the work of Birch (1962) we find quantitative asymptotics (in terms of the maximum of the absolute value of the coefficients ...
van Ittersum, Jan-Willem M.
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Restriction estimates of ε -removal type for k-th powers and paraboloids. [PDF]
Math Ann, 2018 Henriot K, Hughes K.
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