New Quadratic Forms with High Density of Primes.
Edgar Karst (1973)
Elemente der Mathematik
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Edgar Karst (1973)
Elemente der Mathematik
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L.J. Morley, Alan Bishop (1977)
Elemente der Mathematik
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Murray S. Klamkin (1973)
Elemente der Mathematik
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Gong, Sherry, Kominers, Scott Duke (2010)
Integers
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Herbert Zeitler (1983)
Elemente der Mathematik
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John H. Hodges (1966)
Mathematische Zeitschrift
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Andrzej Makawski (1983)
Elemente der Mathematik
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A. Schinzel (2015)
Acta Arithmetica
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Assertions on the congruence f(x) + g(y) + c ≡ 0 (mod xy) made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
Ronald Evans (2001)
Acta Arithmetica
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Kiss, Elemér, Sándor, József (2004)
Mathematica Pannonica
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Somayajulu, Al (1968)
Portugaliae mathematica
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William Y. C. Chen, Ernest X. W. Xia (2014)
Acta Arithmetica
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Let p̅(n) denote the number of overpartitions of n. It was conjectured by Hirschhorn and Sellers that p̅(40n+35) ≡ 0 (mod 40) for n ≥ 0. Employing 2-dissection formulas of theta functions due to Ramanujan, and Hirschhorn and Sellers, we obtain a generating function for p̅(40n+35) modulo 5. Using the (p, k)-parametrization of theta functions given by Alaca, Alaca and Williams, we prove the congruence p̅(40n+35) ≡ 0 (mod 5) for n ≥ 0. Combining this congruence and the congruence p̅(4n+3)...
A. Schinzel (2016)
Banach Center Publications
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Four theorems of the author on the subject are given without proofs.
Ulrich Felgner (1991)
Elemente der Mathematik
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