Hypergalactosaemia was discovered in a newborn girl during routine metabolic screening. Hereditary enzyme deficiency was ruled out. She had multiple hepatic haemangiomas with portal-hepatic venous and hepatic arterio-venous shunts. Since she showed signs of high-output heart failure due to the arterio-venous shunt, hepatic artery embolization was performed at age 3 months. A galactose tolerance test was performed before and after embolization and when the haemangioma no longer appeared on ultrasonography. Even after embolization, the level of blood galactose was abnormally elevated in the galactose tolerance test, but the blood galactose was eliminated more rapidly than before embolization. When the hepatic haemangioma was no longer detected by ultrasonography, the peak galactose level decreased. We surmise that the hypergalactosaemia was due to these shunts. In cases of hypergalactosaemia of unknown cause; liver haemangioma with portal-hepatic venous shunting should be considered as a possible cause. If a hepatic arterio-venous shunt also exists, this may contribute to the effect of the portosystemic shunting.

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We study modular properties of theta functions of binary quadratic forms with congruence condition and compute their values at arbitrary cusps.

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