code: def intersecting_product(a, b):
      """
      Returns the intersecting product of given sequences.
  
      The indices of each argument, considered as bit strings, correspond to
      subsets of a finite set.
  
      The intersecting product of given sequences is the sequence which
      contains the sum of products of the elements of the given sequences
      grouped by the *bitwise-AND* of the corresponding indices.
  
      The sequence is automatically padded to the right with zeros, as the
      definition of subset based on bitmasks (indices) requires the size of
      sequence to be a power of 2.
  
      Parameters
      ==========
  
      a, b : iterables
          The sequences for which intersecting product is to be obtained.
  
      Examples
      ========
  
      >>> from sympy import symbols, S, I, intersecting_product
      >>> u, v, x, y, z = symbols('u v x y z')
  
      >>> intersecting_product([u, v], [x, y])
      [u*x + u*y + v*x, v*y]
      >>> intersecting_product([u, v, x], [y, z])
      [u*y + u*z + v*y + x*y + x*z, v*z, 0, 0]
  
      >>> intersecting_product([1, S(2)/3], [3, 4 + 5*I])
      [9 + 5*I, 8/3 + 10*I/3]
      >>> intersecting_product([1, 3, S(5)/7], [7, 8])
      [327/7, 24, 0, 0]
  
      References
      ==========
  
      .. [1] https://people.csail.mit.edu/rrw/presentations/subset-conv.pdf
  
      """
  
      if not a or not b:
          return []
  
      a, b = a[:], b[:]
      n = max(len(a), len(b))
  
      if n & (n - 1):  # not a power of 2
          n = 2 ** n.bit_length()
  
      # padding with zeros
      a += [S.Zero] * (n - len(a))
      b += [S.Zero] * (n - len(b))
  
      a, b = mobius_transform(a, subset=False), mobius_transform(
          b, subset=False
      )
      a = [expand_mul(x * y) for x, y in zip(a, b)]
      a = inverse_mobius_transform(a, subset=False)
  
      return a
  
file_path: sympy/sympy/discrete/convolutions.py
imports: from sympy.core import S, sympify, Rational
  from sympy.core.function import expand_mul
  from sympy.discrete.transforms import fft, ifft, ntt, intt, fwht, ifwht, mobius_transform, inverse_mobius_transform
  from sympy.external.gmpy import MPZ, lcm
  from sympy.utilities.iterables import iterable
  from sympy.utilities.misc import as_int
label_desc: Use image node_id 7 for calling a global function with example usage: intersecting_product(a, b) and returns: a, list