Binary linear forms over finite sets of integers
Melvyn B. Nathanson, Kevin O'Bryant, Brooke Orosz, Imre Ruzsa, Manuel Silva (2007)
Acta Arithmetica
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Melvyn B. Nathanson, Kevin O'Bryant, Brooke Orosz, Imre Ruzsa, Manuel Silva (2007)
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Florian Luca (2003)
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D. I. Tolev (2010)
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Attila Bérczes, Jan-Hendrik Evertse, Kálmán Győry (2007)
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D. Lewis, Kurt Mahler (1961)
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Attila Bérczes, Jan-Hendrik Evertse, Kálm'an Győry (2004)
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Allan Joseph Champneys Cunningham
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Yong-Gao Chen (2003)
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Florian Luca, Igor E. Shparlinski (2003)
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Shabnam Akhtari (2010)
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Valentin Blomer, Djordje Milićević (2015)
Journal of the European Mathematical Society
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We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithmetic progressions, which is of square-root strength in any fixed primitive congruence class up to bounds towards the Ramanujan conjecture.
Andrzej Białynicki-Birula, Andrzej Schinzel (2010)
Acta Arithmetica
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Duke, W. (1998)
Documenta Mathematica
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Tomasz Schoen (2011)
Acta Arithmetica
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Bin Feng (2019)
Czechoslovak Mathematical Journal
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).
Kurt Girstmair, Johannes Schoißengeier (2005)
Acta Arithmetica
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M. C. Hess (2006)
Visual Mathematics
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Györy, K. (1993)
Mathematica Pannonica
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