Density of M-sets in arithmetic progression
Soma Gupta, Amitabha Tripathi (1999)
Acta Arithmetica
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Soma Gupta, Amitabha Tripathi (1999)
Acta Arithmetica
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Gajlit, E.V. (2002)
Sibirskij Matematicheskij Zhurnal
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A. Rotkiewicz (1994)
Acta Arithmetica
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J. H. E. Cohn (1997)
Acta Arithmetica
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Zhenfu Cao (1999)
Acta Arithmetica
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Pieter Moree (1995)
Acta Arithmetica
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T. N. Shorey, Yu. V. Nesterenko (1996)
Acta Arithmetica
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N. Saradha, T. N. Shorey, R. Tijdeman (1995)
Acta Arithmetica
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N. Saradha, T. N. Shorey, R. Tijdeman (1994)
Acta Arithmetica
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Shujuan Ji (1998)
Acta Arithmetica
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We construct analogs of the classical Δ-function for quotients of the upper half plane 𝓗 by certain arithmetic triangle groups Γ coming from quaternion division algebras B. We also establish a relative integrality result concerning modular functions of the form Δ(αz)/Δ(z) for α in B⁺. We give two explicit examples at the end.