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The 35 pages that link to Zero, each with the reason it gives.

• IntegerBroader topic: Zero is the integer separating positive values from negative values.

• DivisibilityCompared with: Every nonzero integer divides zero, while zero divides no nonzero integer.

• Natural numberBroader topic: Whether zero belongs to the natural numbers is the convention that distinguishes common definitions.

• Greatest common divisorCompared with: The all-zero input case has no largest positive common divisor.

• Al-KhwarizmiRelated: Zero is essential to the place-value notation transmitted through his arithmetic writings.

• Hindu–Arabic numeral systemRelated: Zero preserves the value of digits when a place contains no units.

• Empty setCompared with: The empty set has zero elements, but it is not the number zero.

• BrahmaguptaRelated: Brahmagupta stated arithmetic rules involving zero, including its interaction with positive and negative numbers.

• Identity elementBroader topic: Adding zero leaves every number unchanged.

• Positional notationRelated: A zero digit marks an empty place without shifting the values of neighboring digits.

• Roman numeralsRelated: Classical Roman numerals had no standard symbol for zero.

• Logarithmic scaleCompared with: No finite logarithmic position represents zero, so logarithmic scales must omit it.

• Peano arithmeticBroader topic: The axioms designate zero as the base from which successor generates the numbers.

• FibonacciRelated: The zero in the Hindu-Arabic system enabled the compact written calculations he promoted.

• Place valueRelated: Zero preserves a place when its digit contributes no quantity.

• Composite numberCompared with: Zero has no place in the positive-integer definition of composite numbers.

• Numeral systemRelated: A zero placeholder preserves empty positions in systems such as decimal.

• Negative numberRelated: It is the boundary that defines which real numbers are negative.

• Decimal systemRelated: Zero preserves empty places, as in 205, and represents a value itself.

• Euler's identityRelated: The equation culminates in zero, balancing the unit value produced by the exponential.

• Liber AbaciRelated: Its role as a place marker is central to the numeral system taught in the book.

• ReciprocalCompared with: Zero is the sole real number excluded because no product with it equals 1.

• Harmonic meanRelated: A zero input makes the reciprocal formula undefined.

• Sign functionRelated: Zero is the sign function’s only input assigned the value zero.

• Even numberBroader topic: Zero is divisible by 2 and is therefore even.

• Unary numeral systemRelated: Unary needs an empty string or a special convention to represent zero.

• Weighted averageRelated: A zero weight removes its value’s contribution, provided the total weight remains positive.

• Indian mathematicsBroader topic: Indian mathematicians developed zero into both a numeral and an arithmetic object.

• DigitRelated: Zero can mark an empty place and is a digit in positional notation.

• Division by zeroRelated: The denominator at issue is the number that has no multiplicative inverse.

• Arabic numeralsBroader topic: Zero both names a number and marks empty place values in written numerals.

• Imaginary numberRelated: Zero is the real part of every imaginary number.

• History of mathematical notationRelated: Its roles as number and placeholder developed unevenly across mathematical traditions.

• Numerical digitRelated: Zero preserves empty positions, distinguishing numerals such as 205 and 25.

• Sign (mathematics)Related: Zero is neither positive nor negative and forms the boundary between the two signs.