Page boy (wedding attendant) Page boy (wedding attendant) A page boy is a young male attendant at a wedding or cotillion, a social dance. This type of wedding attendant is less common than it used to be, but is still a way of including young relatives or the children of relatives and friends in a wedding. A page is often seen at British royal weddings. There may be many pages for effect at cotillions. Traditionally, page boys carry the bride's train, especially if the bride is wearing a dress with a long train. Because of the difficulty of managing the train, page boys are
Rank of an elliptic curve of elliptic curves (provided that an average exists). In the past two decades there has been some progress made towards the task of finding upper bounds for the average rank. A. Brumer showed that, conditioned on the Birch–Swinnerton-Dyer conjecture and the Generalized Riemann hypothesis that one can obtain an upper bound of formula_22 for the average rank. Heath-Brown showed that one can obtain an upper bound of formula_23, still assuming the same two conjectures. Finally, Young showed that one can obtain a bound of formula_24; still assuming both conjectures. Bhargava and Shankar showed that the average rank of elliptic curves