On Motzei Tisha b'Av 5744, the Rebbe added a note to many of the letters sent out that day, saying that in a few days will be the 40th Yartzeit of his father, and the Rebbe said:

"ועלי החוב והזכות גדול, להציע ולבקש וכו' - ללמוד בהתועדות בתורתו, ולנדב ביומא דין לז"נ [לזכר נשמתו]"

 

Below are some links that may be helpful in fulfilling the Rebbe's request. 

 

ללמוד בהתועדות מתורתו

There are many tools to learn the Rebbe's fathers Torah:

  

ללמוד בהתועדות מתורתו

 

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The Rebbe set up a special fund "Keren Levi Yitzchock" for which he would make an appeal during every Chof Av Farbrengen. The fund provides short term loans to school teachers. 

 

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Many have the custom to learn Perakim of Mishnayus that start with the letters of the Rebbe's fathers name.

The Rebbe once spoke about this custom and said a Sicha during a rally to the campers of Gan Yisroel learning from one of the Mishnayus of the Rebbe's father's name.
Audio. Hanacha.