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A Remark in Gouvea's "$p$-adic Numbers: An Introduction" on Reciprocity

score 64 · Answer 1 · 2026-04-14 00:14:40

64

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A Remark in Gouvea's "$p$-adic Numbers: An Introduction" on Reciprocity

Published on 14 Apr 2026 - 0:14

score 135 · Answer 2 · 2026-04-16 12:13:56

135

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Bounding $x_{0}$ in solutions to Diophantine equation $\left(\sum_{i=1}^{n} x_{i}\right)^{2} = x_{0}\prod_{i=1}^{n}x_{i}$

Published on 16 Apr 2026 - 12:13

score 196 · Answer 3 · 2026-04-15 21:07:43

196

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Integer Solutions to the equation $x^6+5y^2=z^2$

Published on 15 Apr 2026 - 21:07

score 143 · Answer 4 · 2026-04-09 12:51:04

143

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How to solve the equation in algebraic number theory?

Published on 09 Apr 2026 - 12:51

score 54 · Answer 5 · 2026-04-17 15:59:56

54

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diophantine equation $(2a+1)^2-c^2=-1$

Published on 17 Apr 2026 - 15:59

score 75 · Answer 6 · 2026-04-14 08:10:42

75

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$ \frac{2}{x} + \frac{5}{y} = \frac{1}{3}$ the number of solutions of this equation in different cases i.e when x,y are even,odd

Published on 14 Apr 2026 - 8:10

score 81 · Answer 7 · 2026-04-10 12:05:12

81

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Quadratic equation with only one solution on integers

Published on 10 Apr 2026 - 12:05

score 106 · Answer 8 · 2026-04-16 23:48:20

106

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How can I check if a single equation with two variables can be solved with only integers?

Published on 16 Apr 2026 - 23:48

score 58 · Answer 9 · 2026-04-14 02:30:50

58

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Calculating Third Divisor on a HyperElliptic Curve in a Finite Field

Published on 14 Apr 2026 - 2:30

score 79 · Answer 10 · 2026-04-16 15:43:44

79

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On the diophantine equation: $ \frac{x^2}{a^2}+\frac{y^2}{b^2} = k $. Is there already a known solution?

Published on 16 Apr 2026 - 15:43

score 550 · Answer 11 · 2026-04-15 17:54:46

550

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Solving the Diophantine system $pqr=a^4$, $p+q+r=b^4$

Published on 15 Apr 2026 - 17:54

score 154 · Answer 12 · 2026-04-15 23:07:50

154

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On the eighth powers $A^8+B^8=C^8+D^8$. Are there non-trivial solutions to it?

Published on 15 Apr 2026 - 23:07

score 152 · Answer 13 · 2026-04-12 01:18:35

152

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Are there any positive odd integer solutions to $c^2=a^2-b^2+ab$

Published on 12 Apr 2026 - 1:18

score 62 · Answer 14 · 2026-04-13 18:45:36

62

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Monic quadratic diophantine equation

Published on 13 Apr 2026 - 18:45

score 48 · Answer 15 · 2026-04-11 13:47:56

48

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Trying to characterize an integer function relation

Published on 11 Apr 2026 - 13:47

List Question

A Remark in Gouvea's "$p$-adic Numbers: An Introduction" on Reciprocity

Bounding $x_{0}$ in solutions to Diophantine equation $\left(\sum_{i=1}^{n} x_{i}\right)^{2} = x_{0}\prod_{i=1}^{n}x_{i}$

Integer Solutions to the equation $x^6+5y^2=z^2$

How to solve the equation in algebraic number theory?

diophantine equation $(2a+1)^2-c^2=-1$

$ \frac{2}{x} + \frac{5}{y} = \frac{1}{3}$ the number of solutions of this equation in different cases i.e when x,y are even,odd

Quadratic equation with only one solution on integers

How can I check if a single equation with two variables can be solved with only integers?

Calculating Third Divisor on a HyperElliptic Curve in a Finite Field

On the diophantine equation: $ \frac{x^2}{a^2}+\frac{y^2}{b^2} = k $. Is there already a known solution?

Solving the Diophantine system $pqr=a^4$, $p+q+r=b^4$

On the eighth powers $A^8+B^8=C^8+D^8$. Are there non-trivial solutions to it?

Are there any positive odd integer solutions to $c^2=a^2-b^2+ab$

Monic quadratic diophantine equation

Trying to characterize an integer function relation

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