Index P

♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦V♦W♦

Parseval formula
- Mellin transforms §2.5(i)
partition see partition function
partition function
- asymptotic expansion §27.14(iii)
- calculation §27.14(iii)
- divisibility §27.14(v)
- generating function §27.14(ii)
- hadronic matter
  - gamma function §5.20
- parts §27.14(i)
- Ramanujan congruences §27.14(v)
- unrestricted §27.14(i)
pentagonal numbers
- number theory §27.14(ii)
Pochhammer's integral
- beta function §5.12
Pochhammer's symbol §5.2(iii)
polygamma functions §5.15
- computation §5.21
- continued fractions §5.15
- definition §5.15
- properties §5.15
- special values §5.15
- sums §5.16
- tables §5.22(ii)
prime numbers
- applications §27.16
- asymptotic formula §27.12
- computation Ch.27, §27.21
- counting §27.18
- cryptography §27.16
- distribution §27.2(i)
  - asymptotic estimate §27.2(i)
- Euler-Fermat theorem §27.2(i)
- in arithmetic progression
  - Dirichlet's theorem §27.11
- Jacobi symbol §27.9
- largest known §27.12
- Legendre symbol §27.9
- Mersenne prime §27.12, §27.18
- prime number theorem §27.11, §27.12, §27.2(i)
- quadratic reciprocity law §27.9
- tables §27.2(ii), §27.21

prime number theorem §27.11, §27.12, §27.2(i)
primes see prime numbers
projective quantum numbers
- $3j$ symbols §34.2
pseudoprime test §27.12
pseudorandom numbers §27.19
psi function §5.2(i)
- analytic properties §5.2(i)
- applications
  - mathematical §5.19(i)
- approximations
  - Chebyshev series §5.23(ii)
  - complex variable §5.23(iii)
  - rational §5.23(i), §5.23(iii)
- asymptotic expansion §5.11(i)
- computation §5.21
- continued fractions §5.10
- definition §5.2(i)
- expansions in partial fractions §5.7(ii)
- graphics §5.3(i), §5.3(ii)
- inequalities §5.6(i)
- integral representations §5.9(ii)
- multiplication formula §5.5(iii)
- notation §5.1
- recurrence relation §5.5(i)
- reflection formula §5.5(ii)
- special values §5.4(ii), §5.4(ii)
- tables §5.22(ii), §5.22(iii)
- Taylor series §5.7(i)
- zeros §5.2(i)
  - table of §5.4(iii)
public key codes §27.16