The Auschwitz death books were released by the Russians in 1989 they say that around 78000 people died in Auschwitz 30000 of them were Jewish, the cause and time of death was recorded for each person, the main cause of death is recorded as disease.
I don't disagree with the numbers, why should I? Not all Jewish people were recorded, they were send off to be murdered.
Rudolf Höss himself wrote "Originally, all the Jews transported to [Auschwitz]. . . were to be destroyed without exception, according to Himmler's orders." But in 1942 because of the steadily growing arms industry which was being developed in the camps that used the slave labor of the prisoners, some able-bodied Jews were ordered to be saved as workers. According to Höss: "The railways cars were unloaded one after another. After depositing their baggage, the Jews had to individually pass in front of an SS doctor, who decided on their physical fitness as they marched past him. Those who were considered able-bodied were immediately escorted into the camp in small groups. Jews selected for gassing were taken as quietly as possible to the crematories." Höss explained the fate of those taken to the crematoria: "In the undressing rooms the Jews were told to take off their clothing and leave it neatly so they could find it again later. After undressing, the Jews went into the gas chamber
http://www.hdot.org/en/learning/myth-fact/deathbooks
Interesting research from Francizek Piper who went through all documents to calculate numbers transported to Auschwitz from other countries
Hungary (438,000), Poland (300,000), France (69,000), Holland (60,000), Greece (55,000), Bohemia and Moravia- Theresienstadt (46,000), Slovakia (27,000), Belgium (25,000), Germany and Austria (23,000), Yugoslavia (10,000), Italy (7,500), Norway (690). From Poland alone, Piper details 154 separate transports with an estimated number of deportees for each (the original lists were destroyed) between 1942 and 1944.
http://www.hdot.org/en/learning/myth-fact/deathbooks