The distribution of αp modulo one
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Publication:3183156
DOI10.1017/S030500410900245XzbMath1196.11101OpenAlexW2172116961MaRDI QIDQ3183156
Publication date: 19 October 2009
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s030500410900245x
Related Items (28)
ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS ⋮ On the distribution of \(\alpha p\) modulo one in quadratic number fields ⋮ Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly) ⋮ A Bombieri–Vinogradov-type theorem with prime power moduli ⋮ Diophantine approximation on lines in \(\mathbb {C}^2\) with Gaussian prime constraints ⋮ On the distribution of \(\alpha p\) modulo one over Piatetski-Shapiro primes ⋮ Rational approximations of irrational numbers ⋮ On the distribution of modular square roots of primes ⋮ Some problems about friable numbers in Piatetski-Shapiro sequence ⋮ Missing digits and good approximations ⋮ Zeros of dirichlet L‐functions near the critical line ⋮ Diophantine approximation with smooth numbers ⋮ DIOPHANTINE APPROXIMATION WITH HARDY–LITTLEWOOD NUMBERS ⋮ Solutions of \(x_1^2+x_2^2-x_3^2=n^2\) with small \(x_3\) ⋮ Counting primes ⋮ FRACTIONAL PARTS OF POLYNOMIALS OVER THE PRIMES ⋮ RESTRICTED SIMULTANEOUS DIOPHANTINE APPROXIMATION ⋮ On the distribution of \(\alpha p\) modulo one for primes \(p\) of a special form ⋮ On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one ⋮ Diophantine approximation with prime restriction in real quadratic number fields ⋮ Diophantine approximation with Goldbach numbers ⋮ On the distribution of \(\alpha p^{\gamma}+\beta\) modulo one ⋮ Diophantine approximation with products of two primes ⋮ Diophantine approximation with restricted numerators and denominators on semisimple groups ⋮ Distribution of \(\alpha p^2\) modulo one with prime variable \(p\) of a special form ⋮ New error term for the fourth moment of automorphic \(L\)-functions ⋮ Distribution of $\alpha n +\beta $ modulo 1 over integers free from large and small primes ⋮ MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS
Cites Work
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- Kloosterman sums and Fourier coefficients of cusp forms
- Kloosterman sums and a mean value for Dirichlet polynomials
- The Distribution of αp Modulo One
- Prime Numbers in Short Intervals and a Generalized Vaughan Identity
- On the Distribution of αp; Modulo One
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- On the Distribution of αp Modulo One II
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