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Cross-transmission experiments were performed using oocysts of an Eimeria arizonensis-like coccidian from Peromyscus leucopus and Peromyscus truei, an E. arizonensis-like coccidian from Reithrodontomys fulvescens, Eimeria baiomysis and Eimeria taylori from Baiomys taylori, Eimeria albigulae from Neotoma albigula, and Eimeria onychomysis from Onychomys spp., between representatives of the above host genera. The E. arizonensis-like coccidian from R. fulvescens infected Reithrodontomys megalotis, Reithrodontomys montanus, and Peromyscus leucopus. Oocysts of E. arizonensis from P. leucopus could be transmitted to both P. leucopus and R. megalotus. Oocysts of E. baiomysis and E. taylori infected only B. taylori. Oocysts of E. arizonensis from P. truei infected P. truei but not Neotoma mexicana or Onychomys leucogaster. Oocysts of E. albigulae from N. albigula were infective for N. mexicana but not for P. truei or O. leucogaster. Oocysts of E. onychomysis from Onychomys spp. infected O. leucogaster but not N. mexicana or P. truei. These results demonstrate that Peromyscus and Reithrodontomys, genera known to be related very closely evolutionarily, are capable of sharing E. arizonensis, whereas morphologically similar coccidians (E. albigulae, E. baiomysis, and E. onychomysis) from more distantly related hosts, are probably distinct and more stenoxenous. This also is the first report of coccidians infecting species of Reithrodontomys.

We prove the congruence \[ ∏ n = 1 n ≢ 7 ( mod 14 ) ∞ ( 1 − x n ) ≡ ∑ − ∞ ∞ ( x n ( 3 n + 2 ) + x 7 n ( 3 n + 2 ) + 2 ) ( mod 2 ) \prod \limits _{\begin {array}{*{20}{c}} {n = 1} \\ {n \nequiv 7\;\pmod {14}} \\ \end {array} }^\infty {(1 - {x^n}) \equiv \sum \limits _{ - \infty }^\infty {({x^{n(3n + 2)}} + {x^{7n(3n + 2) + 2}})\;\pmod 2} } \] by first establishing a related equation, which reduces to the congruence modulo 2. The method of proof (called "expanding zero") is based on a formula of the authors for expanding the product of two triple products. A second proof of the result more fully explicates the various aspects of the method. A parity result for an associated partition function is also included.

Subterranean termites (Reticulitermes sp.) attacked over 25% of 480 wooden structures (shelters for small mammal traps) present in grazed mixedgrass prairie between July 1985 and June 1989. This cattle-grazed pasture included upland, breaks, and lowland prairie and we report herein the distribution of Reticulitermes across these topoedaphic sites. Termites were most likely R. flavipes as this is the predominant species in this region of Kansas, although R. hageni is a slight possibility (R. W. Howard, pers. comm.). The study site was a 10.8-ha trapping grid (480 stations with 15 m between stations) established in a grazed mixed-grass pasture in SE14 Sec. 30, T lIS, R1OW, Lincoln Co., Kansas. Native vegetation in this region is classed as the bluestem-grama (Andropogon-Bouteloua) association of the mixed-grass prairie (Kiichler, 1974). Habitat categories were upland prairie (shallow soil above Cretaceous-aged limestone layers, n = 210 stations), limestone quarry (upland pits from which limestone was quarried earlier this century, n = 12), spoil bank (a mound of soil and rock from the excavation of the quarry, n = 19), upland breaks prairie (shallow rocky soil directly above the break of the hill (n = 50), lowland breaks prairie (steep-sloped shallow soil below the break of the hill, n = 105), and lowland prairie (relatively flat deep soil areas below the slope of the hill, n = 84). As this pasture was grazed by cattle, dung was scattered over the site; however, no dead wood other than the shelters was present. In July 1985, one inverted V-shaped trap shelter (26 cm long; untreated lumber ca. 4 cm thick) was placed directly on the ground at each of 480 trap stations (15-m spacing) on the 10.8-ha study site. Reticulitermes were observed by the first autumn but no records were made of attacked shelters until June 1989. These 1989 records, therefore, are a summation of termite activity during the four-year study period. In addition to presence of termite damage, shelters with heavy termite damage (a subjective category for damage that was sufficient to reduce the structural integrity of the shelter) were noted. Wood near the bases of many V-shaped shelters noted as having experienced heavy damage was falling apart by summer 1989. On 12-13 July 1989, shelters were surveyed for the presence of termites with a sample of termites collected from 21 shelters. All were Reticulitermes but identification to species was not possible as alates were not present.