Signatures of units and congruences (mod 4) in certain real quadratic fields.
J.C. Lagarias (1978)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “Signatures of units and congruences (mod 4) in certain totally real fields.”
Signatures of units and congruences (mod 4) in certain real quadratic fields.
Signatures of units and congruences (mod 4) in certain real quadratic fields. II.
J.C. Lagarias (1980)
Journal für die reine und angewandte Mathematik
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Lower limit for the number of sets of solutions of xe + ye + ze ... 0 (mod p).
L.E. Dickson (1909)
Journal für die reine und angewandte Mathematik
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Criteria for Generalized Kummer's Congruences.
L. Carlitz, Harlan Stevens (1961)
Journal für die reine und angewandte Mathematik
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On the Pythagoras number of orders in totally real number fields.
Rudolf Scharlau (1980)
Journal für die reine und angewandte Mathematik
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Hasse factor systems reduced mod ... .
K. Masuda (1954)
Journal für die reine und angewandte Mathematik
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Congruences modulo 16 for the class numbers of the quadratic fields Q(ñp) and Q(ñ2p) for p a prime congruent to 5 modulo 8
Pierre Kaplan, Kenneth Williams (1982)
Acta Arithmetica
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Classification of smooth congruences of low degree.
Enrique Arrondo, Igancio Sols (1989)
Journal für die reine und angewandte Mathematik
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Generalization of Ramanujan's Congruences p(5m+4) ...O (mod 5) and p(7m+5) ...0 (mod 7).
J.M. Gandhi (1965)
Monatshefte für Mathematik
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Independent systems of units in certain algebraic number fields.
Günther Frei, Claude Levesque (1979)
Journal für die reine und angewandte Mathematik
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Formulae for the units and class-numbers of real quadratic fields.
S. Chowla, P. Chowla (1968)
Journal für die reine und angewandte Mathematik
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Kummer's Congruences (mod 2r).
L. Carlitz (1959)
Monatshefte für Mathematik
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Units with norm - 1 and signatures of units.
Dennis A. Garbanati (1976)
Journal für die reine und angewandte Mathematik
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Some congruences for 3-component multipartitions
Tao Yan Zhao, Lily J. Jin, C. Gu (2016)
Open Mathematics
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Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34). In this paper, we prove several congruences modulo powers of 3 for p3(n) by using some theta function identities. For example, we prove that for n ≥ 0, p3 (243n + 233) ≡ p3 (729n + 638) ≡ 0 (mod 310).